KEY 
 
 FRANKLIN 
 
 WRITTEN ARITHMETIC 
 
 BY 
 
 EDWIN P. SEAVER, A. M. 
 
 HEAD MASTER OF THE ENGLISH HIGH SCHOOL, BOSTON ; FORMERLY ASSISTANT 
 PROFESSOR OF MATHEMATICS IN HARVARD COLLEGE 
 
 GEO. A. WALTON, A. M. 
 
 AUTHOR OF WALTONS' ARITHMETICS, ARITHMETICAL TABLES, ETC. 
 
 BOSTON 
 WILLIAM WARE AND COMPANY 
 
 [Successors to Brewer and Tileston] 
 1880 
 
a.Mc 
 
 CopvniGHT 
 By E p. SEAVER and G. A. WALTOy. 
 
 1878. 
 
 University Press: John Wilson & Son, 
 Cambridgb. 
 
ajc 
 
 PREFACE 
 
 The principal part of this Key is made up of answers to 
 the Examples for the Slate, including answers to the Exer- 
 cises upon the Drill Tables, in the Franklin Arithmetic. In 
 a few instances, as in Partial Payments, in the Average of 
 Payments and of Accounts, the partial results are given, or 
 the processes indicated. 
 
 The Key is designed especially to save labor for the 
 teacher; it is to give him the means of testing the results 
 of the pupils' work, without having to do all the work 
 himself. 
 
 The pupil should not have the answer to his problem under 
 his eye at the outset, lest he perform his work with refer- 
 ence to that ; he ought rather to form the habit of working 
 solely from the conditions given in the statement of the 
 problem. It would be better, even then, that he should be 
 able to test his own work by some method of proof, or by 
 reviewing his processes. But next to this, and perhaps all 
 that can be expected in the majority of cases, would be to 
 let him compare his result with that given in the Key. 
 
 Great pains have been taken to have the answers correct. 
 Yet should the book be found to be wholly free from 
 errors, it would be a gratifying surprise to the authors. And 
 they would earnestly request that any errors which may be 
 discovered be reported to the publishers, and the requisite 
 corrections will be promptly made. 
 
 Boston, August, 1878. ^^Jk \ t A*\ 
 
CONTENTS 
 
 PAGE 
 
 Answers to Examples 6 
 
 Answers to Drill Exercises: 
 
 Simple Numbers 43 
 
 United States Money . 63 
 
 Common Fractions 67 
 
 Decimal Fractions V4 
 
 Compound Numbers T9 
 
 Percentage 88 
 
 Extraction of Roots ^^ 
 
KEY 
 
 Page 5. 
 Ex. Ans. 
 9. 4,000. 
 
 10. 4,400. 
 
 11. 4,040. 
 
 12. 4,004., 
 
 Page 6. 
 
 13. 8,422. 
 
 14. 356,890. 
 
 15. 60,065. 
 
 16. 1878. 
 
 Page 7. 
 
 17. 46 thoiis. 520 units. 
 
 18. 406 tho. 502 units. 
 
 19. 1 million, 1 tbous. 
 
 110 units. 
 
 20. 85,503,007. 
 
 21. 906,218,028. 
 
 22. 3,037,900,200. 
 
 23. 18,000,000,004. 
 
 24. 40,700,000. 
 
 25. 37,099,009,000,000. 
 
 Page 11. 
 
 53. 0.7. 
 
 54. 0.07. 
 
 55. 0.007. 
 
 56. 0.25. 
 
 Ex. Ans. 
 
 57. 0.039. 
 
 Ex. 
 
 Page 19. 
 Ans. 
 
 58. 7.005. 
 
 18. 
 
 1,038 miles. 
 
 59. 25.0049. 
 
 19. 
 
 $ 77,277. 
 
 60. 0.00306. 
 
 20. 
 
 12.297. 
 
 61. 0.05047. 
 
 21. 
 
 $1814.155. 
 
 Page 15. 
 
 22. 
 23. 
 
 5.17 miles. 
 $33.70. 
 
 1. 12,880. 
 
 24. 
 
 39.023 acres. 
 
 2. 757. 
 
 25. 
 
 35.625 miles. 
 
 3. 11,347. 
 
 26. 
 
 $160.13. 
 
 4. 78,239. 
 
 27. 
 
 $1,123.66. 
 
 5. 664. 
 
 28. 
 
 $1,034.33. 
 
 6. 1,135. 
 
 29. 
 
 $ 886.84. 
 
 7. 135.237. 
 
 30. 
 
 $289.87. 
 
 8. 4.019. 
 
 31. 
 
 $1,932.19. 
 
 9. 20.429. 
 
 
 Page 22. 
 
 Page 18. 
 
 1. 
 
 141 oranges. 
 
 10. 2,316 bushels. 
 
 2. 
 
 321 acres. 
 
 11. 6,776 pounds. 
 
 12. $2,785. 
 
 
 Page 23. 
 
 13. 3,925 yards. 
 
 3. 
 
 571. 
 
 14. 3,023 pounds. 
 
 4. 
 
 102. 
 
 j5 j 1,191 barrels. 
 
 5. 
 
 8,272. 
 
 * I $ 8,259. 
 
 6. 
 
 654. 
 
 16. 1,604 miles. 
 
 7. 
 
 $357. 
 
 ^y j 7,329 acres. 
 ' I 621,472 trees. 
 
 8. 
 9. 
 
 78 years. 
 972 years. 
 
KEY. 
 
 
 
 
 
 r:ihe9A. 
 
 Ex. Ans. 
 
 Ex. 
 
 Ans. 
 
 ':■'■ '^■:-': . , '■ 
 
 42. 883.83. 
 
 25. 
 
 40,907,020. 
 
 '10. '2,77 i 'oxeh: ' ' ' ' 
 
 43. $89. 
 
 26. 
 
 150,000. 
 
 11. 473 birds. 
 
 44. 715 persons. 
 
 27. 
 
 112,000. 
 
 12. 178.5. 
 
 45. $2,058. 
 
 
 ( 168,300. 
 
 13. $11.72. 
 
 46. $20,060. 
 
 28. 
 
 ) 1,683,000. 
 
 14. 999.999. 
 
 47. 162 miles. 
 
 
 ( 16,830,000. 
 
 
 48. 338 miles. 
 
 29. 
 
 21,440,000. 
 
 Page 26. 
 
 49. 712. 
 
 30. 
 
 25,628. 
 
 15. 750 bushels. 
 
 50. $ 1,340. 
 
 31. 
 
 66,912. 
 
 16. $297. 
 
 
 32. 
 
 18,763. 
 
 17. 2,776 acres. 
 
 Page 30. 
 
 33. 
 
 32,215. 
 
 18. 3,948 feet. 
 
 1. 980 poumls. 
 
 34. 
 
 2,573,284. 
 
 19. $1,881.87. 
 
 2. 1,032 pounds. 
 
 35. 
 
 2,740,356. 
 
 20. 84 years. 
 
 3. $2,191. 
 
 
 
 21. $6,175. 
 
 4. $4,275. 
 
 
 Page 33. 
 
 22. 215,174 bushels. 
 
 5. 2,560 miles. 
 
 36. 
 
 850. 
 
 23. 1,522 miles. 
 
 6. 407 days. 
 
 37. 
 
 4,802. ^ 
 
 24. 35,884. 
 
 7. 63,360 feet. 
 
 38. 
 
 79,576. 
 
 25. 27,333. 
 
 Page 31. 
 
 39. 
 
 368,400. 
 
 26. 78,883. 
 
 8. 5,124/'. 
 
 40. 
 
 4,378,125. 
 
 27. 110,121. 
 
 28. 202,837. 
 
 9. $2,916. 
 
 10. $2,856. 
 
 41. 
 42. 
 
 488,151. 
 46,215. 
 
 29. 298,122. 
 
 11. 5,156/'. 
 
 12. $2,352. 
 
 13. 3,913 cents. 
 
 14. 2,403. 
 
 43. 
 
 1,030,945. 
 
 30. 128,623. 
 
 31. 881,803. 
 
 32. 3 times; 440,111 
 
 44. 
 45. 
 46. 
 
 3,834,432. 
 
 233,473,500,000. 
 
 381,840,480,000. 
 
 over. 
 
 15. 11, .304. 
 
 
 Page 34. 
 
 33. 139,886 feet. 
 
 16. 57,817. 
 
 47. 
 
 43.24 ; 9,082.5. 
 
 Page 27. 
 
 17. 1,890,441. 
 
 48. 
 
 42.5454; 0.009. 
 
 34. 194.85 acres. 
 
 18. 1,. 325,700. 
 
 19. 1,692,501. 
 
 49. 
 
 24. 
 
 35. 0.315. 
 
 20. 650 cents. 
 
 
 Page 36. 
 
 36. 0.515. 
 
 37. 76.87. 
 
 21. $10,000. 
 
 50. 
 
 $ 540 ; $ 2,700. 
 
 22. $8,250. 
 
 51. 
 
 $5, 1(H). 
 
 38. 7,551.5544. 
 
 39. 906.975. 
 
 Page 32. 
 
 rg 
 
 '41,400 stitches; 
 496,800 stitches; 
 
 40. 584.995. 
 
 23. 5,0.30,720. 
 
 OZ. 
 
 2,980,800 stitches 
 
 41. 11.086. 
 
 24. 7,599,240. 
 
 
 .155,001,600 *• 
 
KEF. 
 
 Ex. Arts. 
 
 53. 1,950,000 inhab. 
 
 5^^ I 1,170,000 yards. 
 
 * I 60,840,000 yards 
 
 55. 180,000,000 lbs. 
 
 56. 86,400 seconds. 
 
 57. 91,289,796 miles. 
 
 58. 16.25 hours. 
 
 59. 36.225 acres. 
 
 60. $446.50. 
 
 61. $7,962.50. 
 
 62. 336.8336. 
 
 Page 37, 
 
 63. 10,980 pounds. 
 
 64. 3,000 feet. 
 
 65. 3,586 feet. 
 
 66. $352. 
 
 67. $783. , 
 
 68. 479,232. 
 
 69. $518. 
 
 70. 39,296 strands. 
 
 71. $27,000. 
 
 72. $121. 
 
 73. $148. 
 
 74. 33. 
 
 Page 41. 
 
 1. 634 cords. 
 
 2. 268 hours. 
 
 3. 405 hours. 
 
 4. 983 packages. 
 
 Page 42. 
 
 6. 104 weeks; 2 rem. 
 
 6. 323 cans; 3 rem. 
 
 7. 16 years; 8 rem. 
 8 134 rows. 
 
 9. 542 yds.; 10/ rem. 
 
 10. 3,268 or.; 3/ rem, 
 
 Page 43. 
 Ex. Arts. 
 
 U. 225/. 
 
 12. 195-| miles. 
 
 13. $315|. 
 
 14. 410| thousand. 
 
 15. $7,544|. 
 
 16. 40,598|. 
 
 17. 1,1111 
 
 18. 3,07liV 
 
 19. 37,341|. 
 
 20. l,443,002f 
 
 21. 19,661,314|. 
 
 22. 123,432. 
 
 23. 20,551. 
 
 24. 41,089. 
 
 25. 10,917. 
 
 26. 17.2811. 
 
 27. 11,759.6. 
 
 28. $26.06. 
 
 29. $129.62. 
 
 Page 45. 
 
 30. 151^\orl51.096. 
 
 31. 224. 
 
 32. 108||or 108.740. 
 
 33. 108|| or 108.838. 
 
 34. 528|f or528.565. 
 
 35. 345-fl or 345.805. 
 
 36. 438|f or438.952. 
 
 37. 396|for396.395. 
 
 Page 46. 
 
 38. 279|| or 279.5 
 39_ ( l,236f| or 
 
 1,236.506... 
 40. 4,158. 
 41 {7,753|ior 
 
 7,753.920... 
 
 Ex. Ans. 
 
 42. I l^lHt «^ 
 ( 191.783... 
 
 43 \ 123^ «^ 
 ( 133.175. 
 
 44 \ 3'2492Vt or 
 ( 3,249.059... 
 
 45 ( 1,107|U or 
 ' I 1,107.843... 
 
 Page 47. 
 
 46. $123.67. 
 
 47. $148.63. 
 
 48. $56,849. 
 
 49. 2,775. 
 
 50. 42,303.3248. 
 
 Page 49. 
 
 51. 6|^ days. 
 
 52. 28 barrels. 
 
 53. 403|| days. 
 
 54. 103^2g^day8. 
 
 55. 5||f §■ miles. 
 
 56. 197|f acres. 
 
 57. 133 boxes. 
 
 58. 228 eggs. 
 
 59. $85.00. 
 
 a(\ \ $336,768; 
 
 ' ( 1,754 lbs. 
 
 61. 295.875 acres. 
 
 62. $1.12. 
 
 63. $0.03. 
 
 64. 0.142... acres. 
 
 65. 0.312... tons. 
 
 66. 8.560... miles. 
 
 67. 0.385... 
 
 68. 0.015... 
 
 69. 0.008... 
 
8 
 
 KEY. 
 
 Page 50. 
 Ex. Ans. 
 
 1. 5,095,708. 
 
 2. 4,643. 
 
 3. 53,291. 
 
 4. 15,672 by 698. 
 
 5. 13,702. 
 
 6. 931,055. 
 
 7. 76,350. 
 
 8. 405,095,040. 
 
 9. 17,240,192. 
 
 10. 4. 
 
 11. 876,232. 
 
 12. 190. 
 
 13. 2,488,496. 
 
 Page 52. 
 
 15. 11,678.00. 
 
 16. 480 acres. 
 
 17. $1,592.00. 
 
 18. 5,718 gallons. 
 
 19. 23,831 men. 
 
 20. $390.00. 
 
 21. $35.25. 
 
 22. 588 miles. 
 
 23. 4,474 sq. m. 
 
 24. 5 States; 1,270sq.m. 
 
 25. 5,538 sq. m. 
 
 26. 3; 4; 5,270 sq. m. 
 
 27. 30,000 lbs. 
 
 Page 53. 
 
 28. 660 pupils. 
 
 29. 2,122 feet. 
 
 30. 182 girls. 
 
 31. $1,960.(X). 
 
 32. $136.00. 
 
 33. $1,436.40. 
 
 34. 3,276 bush. 
 
 Ex. Ans. 
 
 35. $71.04. 
 
 36. $331.00. 
 
 37. $52.00. 
 
 38. Gained $ 39. 
 
 39. 90 clays. 
 
 Page 54. 
 
 40. 14 posts ; 65 rails. 
 
 41. $12,200. 
 
 42. $2,028. 
 
 43. 28 days. 
 
 44. 15 months. 
 
 45. $8.00. 
 
 46. 134i| acres. 
 
 47. $118.00. 
 
 48. 4,997. 
 
 49. 225 miles. 
 
 50. Gained $ 161. 
 
 51. 2,271; 2,053. 
 
 Page 55. 
 
 52. $52,458. 
 
 53. 2,323,200,000 cu. ft 
 
 54. 883; $56.15 left. 
 
 55. 23|| hours. 
 
 56. $85.20. 
 
 57. 50 days. 
 
 58. 40 pieces. 
 
 59. 3,711 years. 
 
 60. 170 B. c. 
 
 61. 1438 a. D. 
 
 Page 56. 
 
 62. 10|^ years. 
 
 63. 499iV^jV^8econds. 
 Pages 69, 61, and 63. 
 
 Answers to the drill ex- 
 ercises on tables 1, 2, 
 and 3 will be fouiul on 
 page 33 of this Key. 
 
 Page 65. 
 Ex. Ans. 
 
 1. $118.98. 
 
 2. $62.91. 
 
 Page 66. 
 
 3. $19.16; $42.50. 
 
 4. $ 16.60. 
 
 5. $61.31. 
 
 6. $36.88. 
 
 7. $21.75. 
 
 8. $952.56. 
 
 9. 24. 
 
 10. 288. 
 
 11. 60 boxes; 20/ rem. 
 
 12. 32 veils; 56/ rem. 
 ,„ I 35 dinners; 
 
 $0.12^ rem. 
 
 14. $1,085.18. 
 
 15. $92.75. 
 
 16. $167.50. 
 
 Page 70. 
 
 17. $74.69. 
 
 18. $5.16. 
 
 Page 71. 
 
 19. $306.28. 
 
 20. $248.30. 
 
 21. $65.88. 
 
 22. $1,035.84. 
 
 23. $2.42. 
 
 24. $9.13. 
 
 25. 
 
 26. $14.50. 
 
 Page 73. 
 
 For answers to drill ex- 
 ercises on Table No. 4, 
 see i>age 53 of this Key. 
 
KEF. 
 
 Ex. 
 
 27. 
 28. 
 29. 
 30. 
 31. 
 32. 
 33. 
 34. 
 35. 
 36. 
 
 37. 
 
 1. 
 
 2. 
 3. 
 
 4. 
 5. 
 6. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 11. 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 21. 
 22. 
 
 Page 74. 
 
 Ans. 
 
 S6.09. 
 
 Lost 50 f. 
 
 $ 4.80. 
 
 $36,649.62. 
 
 $292,318.04. 
 
 $ 9.92. 
 
 $1.25. 
 
 16 boys. 
 
 $ 137.05. 
 
 Whole, $9.66; ap- 
 ple, 25/; peach, 
 28 f; pear, 55/. 
 
 $570. 
 
 Page 78. 
 
 2, 2, 3, 3, 5. 
 
 2, 2, 2, 2, 2, 2, 3. 
 
 2, 2, 2, 2, 11. 
 
 2, 2, 2, 2, 13. 
 
 2, 2, 5, 13. 
 
 13, 13. 
 
 7,47. 
 
 2, 13, 13. 
 
 3, 7, 17. 
 
 2, 2, 7, 23. 
 
 2, 2, 3, 3, 19. 
 
 2, 2, 5, 5, 5, 5. 
 
 11,31. 
 
 2, 2, 2, 43. 
 
 2, 181. 
 
 Prime. 
 
 2, 2, 2, 3, 17. 
 
 2, 3, 3, 5, 5. 
 
 2, 5, 59. 
 
 2, 2, 2, 2, 5, 7. 
 
 2, 2, 149. 
 
 13, 53. 
 
 Ex. 
 
 23. 
 
 24. 
 25. 
 26. 
 27. 
 28. 
 29. 
 30. 
 31. 
 32. 
 
 Ans. 
 
 2, 2, 2, 2, 2, 2, 11. 
 
 3, 3, 79. 
 2, 3, 127. 
 
 2, 2, 2, 101. 
 
 2, 2, 11, 19. 
 
 3, 3, 3, 5, 7. 
 
 2, 2, 3, 3, 3, 3, 3. 
 
 2,2,2,2,2,2,2,3,7. 
 
 2, 2, 3, 97. 
 
 2, 2, 2, 2, 7, 29. 
 
 Page 80. 
 
 33. 
 34. 
 35. 
 36. 
 37. 
 38. 
 39. 
 40. 
 41. 
 42. 
 43. 
 44. 
 45. 
 46. 
 
 70. 
 
 46. 
 
 10. 
 
 2. 
 
 11. 
 
 5. 
 
 g. 15. 
 h. 18. 
 i. 2. 
 
 j- 11. 
 k. 8. 
 I. 75. 
 
 Page 81. 
 4ia. 
 3. 
 
 $ 2.50. 
 
 338 bushels. 
 
 175 feet. 
 
 306 dozen. 
 
 $12. 
 
 70 men's work. 
 
 10 weeks. 
 
 24 days. 
 
 38f yards. 
 
 4 months. 
 
 1,260 overcoats. 
 
 Page 83. 
 
 4. 50. 6. 
 
 6. 51. 14. 
 
 9. 52. 13. 
 
 Ex. 
 53. 
 54. 
 55. 
 
 Ans. Ex. Ans. 
 
 1. 56. 6 feet. 
 
 6. 57. 3 feet. 
 
 3 feet. 58. 21 feet. 
 
 
 Pai 
 
 je 84. 
 
 59. 
 
 17. 
 
 61. 1. 
 
 60. 
 
 21. 
 
 62. 17 
 
 
 Page 86. 
 
 63. 
 
 2,520. 
 
 
 64. 
 
 180. 
 
 
 65. 
 
 360. 
 
 
 66. 
 
 840. 
 
 
 67. 
 
 7,644. 
 
 
 68. 
 
 3,744. 
 
 
 69. 
 
 5,040. 
 
 
 70. 
 
 2,520. 
 
 
 Page 87. 
 75,712. 
 35,880. 
 616. 
 19,824. 
 940,500. 
 554,664. 
 9,680. 
 1,007,930. 
 
 Page 9L 
 
 1 9 
 
 ¥T- 
 
 7. i 
 
 9 ^^l 
 10. 1^. 
 
 12. m- 
 
 Page 92. 
 
 10}| 
 
10 
 
 KEY. 
 
 Ex. Ans. 
 
 Ex. Ans. 
 
 Ex. Ans. 
 
 16. 471^ 
 
 49. 59f. 
 
 80. 114J^. 
 
 17. 280f. 
 
 50. ll|. 
 
 81. 262^. 
 
 18. 22^^.^ 
 
 51. 4|. 
 
 82. 14,244|. 
 
 19. 49| days. 
 
 52. 24f. 
 
 83. 4,623|. 
 
 20. 18^ years. 
 
 53. 5^. 
 
 54. 14^. 
 
 84. 7,906f. 
 
 Page 93. 
 
 55. 35V 
 
 Page 102. 
 
 21. ^K 
 
 22. J^^A 
 
 23. A|,p. 
 
 24. n^. 
 
 25. ^2^«/. 
 
 26. -s^. 
 
 27. ^K 
 
 28. ^IK 
 
 29. 8||ff. 
 
 56. n-   
 
 57. Ml. 
 
 58. ,V^. 
 
 59. ^f. 
 
 60. 15^. 
 
 61. 12if|. 
 
 62. tV-^-i\ 
 
 7-i\-6lf^«5. 
 
 63. | + ^T = i?l 
 
 85. 8403.13. 
 
 86. 124^ bu. 
 
 87. 217J oz. 
 
 88. 262| qt. 
 
 89. 880.63. 
 
 90. 177|lb. 
 
 91. 834.29. 
 
 92. 204. 
 
 93. 473J. 
 
 94. 107f 
 
 95. 15,746^. 
 
 96. 20,143f. 
 
 Page 96. 
 
 ^-m^mi^^^^- 
 
 30. 2i|. 
 
 31. 2,V 
 
 64. 7|| miles. 
 
 65. 4,650/^ feet. 
 
 32. 1/5. 
 
 Page 99. 
 
 97. 25,788|. 
 
 33. 1^. 
 
 34. m. 
 
 66. 9:fV barrels. 
 
 67. 851.70. 
 
 Page 104. 
 
 35. 1. 
 
 68. m- 
 
 69. 132 
 
 98. ^\. 
 
 36. IH. 
 
 99.^. 
 
 37. 11^. 
 
 5 
 
 100. |. 
 
 38. m- 
 
 Page 100. 
 
 101. ^. 
 
 39. 1,V^. 
 
 70. 15| A. 
 
 102. M- 
 
 40. 9|f. 
 
 71. 42f yd. 
 
 103. m 
 
 41. 108,V^. 
 
 72. 103^ rd. 
 
 104. 2()2|. 
 
 42. 172^V 
 
 73. 192^ miles. 
 
 105. 72^|. 
 
 43. 737 H. 
 
 74. 660 ft.; 5,280 ft. 
 
 106. l^m. 
 
 
 75. 187^ pounds. 
 
 107. $267A', or 1267.31. 
 
 Page 9a 
 
 76. 2,150f in. 
 
 108. $470T\',or$470.31 
 
 44. A- 
 
 77. 502^ days. 
 
 109. ^. 
 
 46. ii. 
 
 
 110. 89V^\, or 80.14. 
 
 46.^. 
 
 Page 101. 
 
 111. 420. 
 
 47. 35f. 
 
 78. leofjdays. 
 
 112. ,V 
 
 48. 16 J. 
 
 79. 132f 
 
 113. f 
 
KEY. 
 
 11 
 
 
 Page 105. 
 
 Ex. 
 
 .4/15. 
 
 114. 
 
 ^• 
 
 115. 
 
 m\' 
 
 116. 
 
 f or If 
 
 117. 
 
 ■ih- 
 
 118. 
 
 -ih- 
 
 119. 
 
 ^' 
 
 
 Page 106. 
 
 120. 
 
 II in. 
 
 
 Page 107. 
 
 121. 
 
 15^5 ni. 
 
 122. 
 
 5|yd. 
 
 123. 
 
 5| rd. 
 
 124. 
 
 22|ift. 
 
 125. 
 
 ^|y. 
 
 126. 
 
 iIt- 
 
 127. 
 
 F6 3"- 
 
 128. 
 
 T0^3T- 
 
 129. 
 
 KVA- 
 
 130. 
 
 4M- 
 
 131. 
 
 n\- 
 
 132. 
 
 13|f. 
 
 133. 
 
 IH. 
 
 134. 
 
 134f. 
 
 
 Page 109. 
 
 135. 
 
 i¥t. 
 
 136. 
 
 ik- 
 
 137. 
 
 -il- 
 
 138. 
 
 14,661. 
 
 139. 
 
 1,152. 
 
 140. 
 
 9,720. 
 
 141. 
 
 132 lb. 
 
 142. 
 
 205 ft. 
 
 143. 
 
 21|. 
 
 144. 
 
 70. 
 
 Ex. Ans. 
 
 Ex Ans. 
 
 145. 140. 
 
 179. 131. 
 
 146. 96. 
 
 180. ^. 
 
 147. ^\. 
 
 181. Sf. 
 
 148. Iff. 
 
 182. lif. 
 
 149. 3. 
 
 183. $363.80. 
 
 150. If. 
 
 184. f acre. 
 
 151. 24 bu.; 16|bii. 
 
 185. $660,000. 
 
 152. 250. 
 
 186. $576. 
 
 Page 110. 
 
 187. $2,724.15. 
 
 153. 1 2,307 1% yd. 
 
 154. 6^% Yd. 
 
 155. 28f breadths. 
 
 156. 15|iyd. 
 
 157. 24(4f lengths. 
 
 158. 2f If sq. rods.' 
 
 159. 8 francs. 
 
 188. $4,225.92. 
 
 ( Infentry, 4,200; 
 
 ' ( Cavalry, 600. 
 ^g^ ( 1st y. 1,840 bu. 
 
 * ( 2d y. 2,300 bu. 
 
 191. 165. 
 
 192. 330 fowls. 
 
 160. If. 
 
 Page 114. 
 
 161. f. 
 
 193. ff 
 
 162. 7|f. 
 
 194. ^4^. 
 
 163. ^,4^. 
 
 195. i 
 
 164. li 
 
 196. $21; $15; $24; 
 
 165. -f. 
 
 $12. 
 
 166.^. 
 
 197. |. Ex. Ans. 
 
 167. If 
 
 198. I. 202. -^j. 
 
 168. ^. 
 
 199. ^. 203. 4. 
 
 169. ^HiT. 
 
 200. ^\. 204. i^. 
 
 170. 3f 
 
 201. ^9^. 205. {U. 
 
 171. 28f 
 
 206. i, 1, I f, f f, 
 
 172. ^Wo- 
 
 iV T%- 
 
 173. If. 
 
 174. nu- 
 
 175. 22/^B^^. 
 
 Page 115. 
 
 207. 5911. 
 
 208. 25||. 
 
 Page 112. 
 
 209. 35,750. 
 
 176. 18. 
 
 210. 39^f. 
 
 177. 38f 
 
 211. 45,600. 
 
 178. 1^^. 
 
 212. 18,262f 
 
12 
 
 KEY. 
 
 Page 117. 
 
 Ex. 
 
 Ans. 
 
 Ex. Ans. 
 
 Ex. Ans. 
 
 247. 
 
 127U- 
 
 278. 4^ days. 
 
 213. 2x2x3x5x7. 
 
 248. 
 
 $ 37.34. 
 
 279. 5Hays. 
 
 214. 3§. 
 
 249. 
 
 $ 2.60. 
 
 280. i5^ days. 
 
 215. 7. 
 
 
 
 
 216. 252. 
 
 
 Page 120. 
 
 Page 123. 
 
 217. M ; ii. 
 
 250. 
 
 25|| days. 
 
 For answers to drill ex- 
 
 218. -aig2jL ; 5p. 
 
 251. 
 
 17/4 /-• 
 
 ercises on Table No, 5, 
 see page 57 of this Key. 
 
 219. 137f ; 6. 
 
 252. 
 
 $2.16. 
 
 
 ^^^•m^m^m- 
 
 253. 
 
 $18,000; $27,000. 
 
 Page 126. 
 
 221. |i;M;-W. 
 
 254. 
 
 $ 36.50. 
 
 1. 0.070. 
 
 222. 9| ; 784^. 
 
 255. 
 
 $3,600; $450. 
 
 2 ( 0.400 ; 0.750 ; 
   (2.500; 1.060. 
 
 223. 11^,^. 
 
 256. 
 
 144| feet. 
 
 224. 29f ; 37; 2^-^. 
 
 257. 
 
 793 II days. 
 
 2 j0.tX)30; 1.7500; 
   ( 0.0060. 
 
 225. iff. 
 
 258. 
 
 15f rods. 
 
 226. H;/^. 
 
 259. 
 
 78^-. 
 
 4. 3.000; 3.0000. 
 
 227. T^e; A;1J^. 
 
 260. 
 
 $ 143.75. 
 
 [ 7.0 7.00 7.0000 
 5. 40.0 40.00 40.0000 
 
 228. |i. 
 
 261. 
 
 89ff 
 
 229. 39^% miles. 
 
 262. 
 
 95 iM sq. yds. 
 
 [37.0 37.00 37.0000 
 
 230. $6.25. 
 
 263. 
 
 ^iz- 
 
 6. f 16. |. 
 
 231. $31.50. 
 
 264. 
 
 $ 33.89. 
 
 7. f 17. ,VV 
 
 232. Anit. $ 85.78. 
 
 
 
 8. ^V 18. §. 
 
 
 
 Page 121. 
 
 9. \. 19. \. 
 
 Page 119. 
 
 265. 
 
 ( $119,931 ; 
 \ 623X fr. 
 
 10. |. 20. ,1^. 
 
 233. $ 8.75. 
 
 234. $8.17. 
 
 
 11. i. 21. ^\. 
 
 266. 
 
 648 lb. 
 
 12. I 22. ,«3|^. 
 
 267. 
 
 25f f lb. 
 $ 5,833.33. 
 
 $8.75. 
 
 13. ^. 23. 1. 
 
 14. i. 24. ^. 
 
 15. I. 25. I. 
 
 2.35. $ 8,523.54. 
 236. $ 14.63. 
 
 268. 
 269. 
 
 237. $7.29. 
 
 270. 
 
 2 If miles. 
 
 238. 25 ,(^. 
 
 239. $11,623.13. 
 
 271. 
 272. 
 
 27| hours. 
 $ 825.42. 
 
 Page 127. 
 26. 0.625. 
 
 240. $14,262.50. 
 
 241. $21.66. 
 
 242. $55.91. 
 
 273. 
 274. 
 
 16|f. 
 $42,666.67. 
 
 27. 0.35. 
 
 28. 0.024. 
 
 
 i 800 in all. 
 
 29. 3.0625. 
 
 243. 5^\ mo. 
 
 275. 
 
 < 160G,200F,80Sc., 
 
 .30. 5.125. 
 
 244. $52.80. 
 
 
 ( 100E,120Sw. 
 
 31. 20.03125. 
 
 245. 2.gV. 
 
 276. 
 
 $6(K).00. 
 
 32. 1.078125. 
 
 246. 114|f. 
 
 277. 
 
 2\\ days. 
 
 33. 8.75. 
 
KEY. 
 
 13 
 
 Ex. Ans. 
 
 34. 17.1171875. 
 
 35. 1.0612. 
 
 36. 0.0475. 
 
 37. 0.03125. 
 
 38. 2.225. 
 
 39. 2.975. 
 
 40. 1.6075. 
 
 41. 16.9875. 
 
 42. ^54.59. 
 
 43. 111.875. 
 
 44. $4.70. 
 
 45. 16.485 acres. 
 
 46. 1.9307734... 
 
 Page 128. 
 
 47. 2.1071. 
 
 48. 58.6881. 
 
 49. 0.3724. 
 
 50. 11.5953 hours. 
 
 51. 139.8837 rods. 
 
 Page 129. 
 
 52. 0.3. 
 
 53. 0.83. 
 
 54. 0.42857L 
 
 55. 0.5. 
 
 56. 0.916. 
 
 57. 0.571428. 
 
 58. 0.38. 
 
 59. 0.045. 
 
 60. 0.63. 
 
 61. 0.0416. 
 
 62. 1.153846. 
 
 63. 3.i35. 
 
 Page 130. 
 
 64. i. 67. M- 
 
 65. |. 68. ^^. 
 
 66. M- 69.. 14. 
 
 Ex. 
 
 Ans. 
 
 Ex. 
 
 Ans. 
 
 70. 
 
 liVv- 
 
 77. 
 
 W- 
 
 71. 
 
 If 
 
 78. 
 
 iV 
 
 72. 
 
 sV- 
 
 79. 
 
 t!j- 
 
 73. 
 
 iV'f 
 
 80. 
 
 ^V' 
 
 74. 
 
 f 
 
 81. 
 
 7 
 
 75. f 82. tlli^ 
 
 76. f |. 83. Vo^V. 
 
 Page 131. 
 
 84. 0.432. 
 
 85. 0.918. 
 
 86. 1.5. 
 
 87. 4.704. 
 
 88. 42. 
 
 89. 4.704. 
 
 90. 10.23. 
 
 91. 0.01648. 
 
 92. 0.37418. 
 
 93. 0.648. 
 
 94. 128.94. 
 
 95. 1.516. 
 
 96. 220. 
 
 97. 93.16f. 
 
 98. 1.0125. 
 
 99. 153.5625. 
 
 100. 462.825. 
 
 101. 380. 
 
 102. 7,501. 
 
 103. 7,500.0000001. 
 
 104. 5,290.5687. 
 
 105. l,136.296f. 
 
 106. $2,471.10. 
 
 Page 133. 
 
 107. 48 books. 
 
 108. 19| yards. 
 
 109. 6 rods. 
 110 ^75qt. dry. 
 
 87^\ (it. liquid. 
 
 Ex. Ans. 
 
 111. 0.5 ton. 
 
 112. 200 yards. 
 
 113. 2.13. 
 
 114. 5.5. 
 
 115. 4. 
 
 116. 0.36. 
 
 117. 111. 
 
 118. 7,720. 
 
 119. 15.49. 
 
 120. 0.3. 
 
 121. 0.094. 
 
 122. 0.1003... 
 
 123. 1538.4615... 
 
 124. 6,275. 
 
 125. 950. 
 
 126. 10,050. 
 
 127. 0,0071. 
 
 128. 0.0497— 
 
 129. 0.0066— 
 
 130. 42.08. 
 
 131. 649.084. 
 
 132. 43.08. 
 
 133. 0.1234. 
 
 134. 25.1045... 
 
 135. 0.2342— 
 
 136. 74.0762— 
 
 137. 11,728.8. 
 
 138. 2,877.617. 
 
 Page 135. 
 
 For answers to drill ex- 
 ercises on Table No. 6, 
 see page 64 of this Key. 
 
 Page 147. 
 
 1. 133,608 oz. 
 
 2. $640.00. 
 
 3. 62^ ft. 
 
 4. $191.40. 
 
14 
 
 KEY. 
 
 Ex. 
 5. 
 6. 
 
 7. 
 8. 
 9. 
 
 10. 
 11. 
 12. 
 
 13. 
 
 14. 
 15. 
 16. 
 
 17. 
 
 18. 
 
 19. 
 20. 
 21. 
 22. 
 23. 
 24. 
 25. 
 
 26. 
 
 27. 
 
 28. 
 
 29. 
 
 30. 
 31. 
 
 Ans. 
 43,560 sq. ft. 
 1,955 acres. 
 46,656 cu. ill. 
 
 17.21. 
 $16.56. 
 
 Page 148. 
 42,048,000 times. 
 14,608 hours. 
 52,594,560 iiiin. 
 5 1,625.26 common 
 I miles. 
 
 Page 149. 
 1 m. 274 id. 1 yd. 
 284 rd. 1 ft. 
 60 A. 87 sq. rd. 
 ( 1 A. 28 sq. rd. 5 
 ( sq. yd. 
 ( 3 sq. yd. 6 sq. ft. 
 ( 39 sq. in. 
 14° 54' 44". 
 4T. 1,3281b. 
 1,2211b. 11 oz. 
 38 lb. 10 oz. 1 pwt. 
 4 oz. 7 pwt. 1 gr. 
 158 bii. 3 pk. 7 qt. 
 2y.53d. 4h.33m. 
 j 1 lb. 5 oz. 3 pwt. 
 I 18 gr. 
 1 lb. 5 oz. 10 pwt. 
 7,899:j*3^ miles. 
 { 30^1 bn., or 
 \ 30 bu. 1 pk, 5 qt. 
 
 Page 150. 
 
 3y<1. -2 ft. 
 
 ( 20;} 1(1. 3 yd. 1 ft 
 
 I 6 in. 
 
 32. 
 
 Ans. 
 
 203 A. 101 sq. rd- 
 24 sq. yd. 6 sq.ft. 
 108 sq. in. 
 { 42sq.rd.20sq.yd. 
 ( 1 sq. ft. 72 sq. in. 
 1,750 lb. 
 10 oz. 10 pwt. 
 10cu.ft.864cu.in. 
 1 pt. 1 gi. 
 
 2 pk. 3 qt. pt. 
 
 Ifgi- 
 33' 20". 
 81 d. 2 h. 40 m. 
 274 d. 12 h. 
 $6,534.00. 
 64 doses. 
 6,930 planks. 
 
 45. 
 46. 
 47. 
 48. 
 49. 
 50. 
 51. 
 
 54. 
 55. 
 
 50. 
 57. 
 58. 
 
 Page 15L 
 
 ^ gal. 
 
 |rd. 
 
 5887 A 
 
 i CU. yd. 
 11 year. 
 0.2738 
 
 mile. 
 
 Page 152. 
 
 O.S449...A,orO.S450-A. 
 0,55y.;0.73jy.;0.4yiy. 
 
 Page 153. 
 
 135 gal. 2 qt. 
 
 ' 50 A. 130 sq. rd. 
 
 49 sq. ft. 
 78 m. 207 rd. 
 13° 39' 8". 
 16 d. 13 h. 
 
 Ex. Ans. 
 
 59. 2 pk. 3^ qt. 
 
 60. 205§rd. 
 
 61. 554^ lb. 
 
 Page 154. 
 
 62. 3bu. Ipk. 3. it. 
 
 63. 2oz. 14 pwt. 19 gr. 
 
 64. 15° 52' 40". 
 
 65. 84 rd. 4^ yd. 
 
 66. 5 ft. 6 in. 
 
 67. 511 A. 154|sq. rd. 
 
 68. 7oz. leipwt. 
 
 69. 8 b. 19 m. 46.2 8. 
 
 70. C.Horn, 21° 36' 4". 
 
 71. 13° 50' 7". 
 
 72. 11° 3' 21". 
 
 73. 86° 27' 17". 
 
 74. 149° 14' 43". 
 
 75. 74°. 
 
 Page 157. 
 
 76. 6 qt. 1 gi. 
 
 77. 40 bu. Ipk. 7qt. 
 
 78. 258 m. 166 rd. 
 
 79. 1 pk. 3 qt. 1 pt. 
 
 80. 1 A. 50| sq. rd. 
 
 81. 8 m. 14|s. 
 
 82. 49 men. 
 
 83. 15} bins. 
 
 84. 6h. li 111. 10s. 
 
 Page 158. 
 
 85. 64° 15'. 
 
 86. 32° 15'. 
 
 87. 93° 2' 30". 
 
 88. 16° 21' 15". 
 
 89. 45° W. 
 
 90. 1°,15' E. 
 
KEY. 
 
 15 
 
 Ex. Ans 
 
 91. 18° E. 
 
 92. 62° W. 
 
 93. 
 
 Page 159. 
 16° 15' 13"; 
 90° 15' 16" W. 
 
 94. 167° 48' 45" E. 
 
 95. 10 m. 45^8-j s. 
 
 96. 4 h. 55 m. 37| s. 
 
 97. 1 h. 6 m. 48 s. 
 
 98. 49 m. 40 s. 
 
 Page 160. 
 
 99. 7 in. 31^ s. P. M. 
 
 100. llo'cl.Tm. 43ls. A.M 
 
 101. llo-cl.17m.5Us A.M. 
 
 102. 8 o'cl. 58in. 26i 8. A.M. 
 
 103. 5 o'cl. 58m. -j^ 8. P.M. 
 
 104. 6o'cl. Im. 46-JgS.P.M, 
 
 105. 5 o'cl. 17m. 32 gs. P.M. 
 
 106. llo'cl. Im.27j8. PM. 
 
 Note. The pupil will per- 
 form the examples in Men- 
 suration more intelligently 
 if he makes diagrams of the 
 plane figures and uses blocks 
 or boxes to represent the 
 solid bodies. 
 
 Page 161. 
 
 107. 28.^ yd. 
 
 108. 37^ yd. 
 
 109. $41.25. 
 
 110. 5,476 sq. ft. 
 
 111. $5,197.50. 
 
 112. 121 ft. 
 
 113. $2,178.00. 
 
 114. 164 sq. I'd. 
 
 115. 2 sq. rd. 
 
 116. 20^11^ A. 
 
 117. $34,456.64. 
 
 Page 162. 
 Ex. Ans. 
 
 118. $400.00. 
 
 119. 1,696 cu. in. 
 
 120. 1,546^ lb. 
 
 121. 6| ft. 
 
 122. 17^ sq. yd. 
 
 123. 22f ft. 
 
 Page 163. 
 
 124. 81 
 
 ft. 
 
 125. $54.66. 
 
 126. 9\ ft. 
 
 127. 42/. 
 
 128. 99 ft. 
 
 129. 45 ft. 
 
 130. 2,400 ft. 
 
 131. 120 ft. 
 
 132. 81 ft. 
 
 Page 164. 
 
 133. $12.21. 
 
 134. $0.95. 
 
 135. 51f qt. 
 
 136. 168f4gal. 
 '74-10 = 64 
 
 64-^6•2i=1.024 
 ^ns. 1.024 cu. ft. 
 7.66... gal. 
 
 138. 45,^5^5_bu. 
 
 139. 19|bu. 
 ^ 47x231 x4 _ 
 
 140. j 2150.42 X 5 ~ 
 
 141. 7.664 cu. in. 
 
 142. 40 bu.; 32 bu. 
 
 Page 165. 
 
 143. 27,101 ft. 
 
 144. 10oz.2pvvt. 17gr. 
 
 137. 
 
 Ex. Ans. 
 
 145. 16cu.ft.l,512cu.in. 
 
 146. $48.00. 
 
 147. $0.75. 
 
 148. 0.695°. 
 
 149. 0.1045... rd. 
 
 150. |A.,or0.83iA. 
 
 151. 185 d. 19h. 28m. 
 87 sq. rd. 3 sq. yd. 
 
 3 sq. ft. 36 Si. in. 
 
 2lb. 5oz. 3p\vt. 
 8gr. 
 
 154. 2,079 sq. ft. 
 
 155. 1,920 cu. ft. 
 420 X 231 X 4 
 
 152. 
 153. 
 
 ^5g^ ) 12x12x12x49 
 
 4tV 
 Ans. 4 ft. 7 in. 
 
 621x4 
 
 157. 
 
 m 
 
 144 
 
 / Ans. lib. ll|-oz. 
 158. 900 bricks; $8.10. 
 L59. 1. 
 160. j\. 
 
 i/^|=5l. As 
 no breadtli is to be 
 divided, 6 breadths 
 will be required. 
 
 Ans. 26 yards. 
 28 m. 32^\ s. 
 
 163. 46° r 30". 
 
 164. 423 d. 
 
 161, 
 
 162. 
 
 Page 166. 
 
 165. 25;^. 
 
 166. $2.91. 
 
 167. 60 furrows. 
 
 168. lloz.Opwt. 15gr. 
 
 169. 31 sq. ft. 
 
 170. $379.50. 
 
 171. 768. 
 
16 
 
 KEV. 
 
 Ex. Ans. 
 
 172. 2° 13' 47f'. 
 
 173. 40rd. 2ytl. Sin. 
 
 174. 17 d. Ih. 30 m. 
 
 175. $68.75. 
 
 (320 bu. rough estimate. 
 
 177. $16.50. 
 
 , -o (78 A. 135 sq. rd. sons'. 
 ^ ' ®* i 87 A. 115 sq. rd. dau's'. 
 
 179. 48 yd. 
 
 Page 167. 
 
 180. 1,860,000 yd. 
 
 181. 181b. 10^ oz. 
 
 182. 72 sq.ft. 
 
 183. $0.27iV 
 1&4. $5.50. 
 
 185. llfl cd. 
 
 186. $7.45. 
 
 187. $37.75. 
 
 188. 286j^ gal. 
 
 189. $51.75. 
 
 190. $44.55. 
 
 191. 92^% d. 
 
 fTop of block, 2 sq.ft. 
 Area of sides, 3§ " 
 
 192. 
 
 Sum, 5| " 
 
 3x9x3 ®* 
 Ans. If yartl. 
 
 193. $40.08. 
 
 194. 66,825 stones. 
 
 Page 168. 
 
 195. ^ l^'-''>3m-35i7^s. 
 after nii(lniy;ht. 
 ^'r.gr.3gr.6 
 
 197 \ 1 ^1- % ii^- 
 3 h. 51f m. 
 
 Page 171. 
 For answers to drill ex 
 ercises on Table No. 7, 
 see page 69 of this Key. 
 
 Page 174. 
 Ex. Ana. 
 
 1. 0.1 '"• 
 
 2. 1.3"^ 
 
 3. 21.4 «»■ 
 
 4. 0.01 '»- 
 
 5. 0.38'"- 
 
 6. 5.29"^ 
 
 7. 0.001 ™- 
 
 8. 0.048 ««• 
 9 3.675'^ 
 
 Page 177. 
 
 10. 4,250 "^ 
 
 11. 3,500°^ 
 
 12. 23,500 «»- 
 
 13. 9,460'"- 
 
 14. 9,240"^ 
 
 15. 397°^ 
 
 16. 720™- 
 
 17. 7.3™- 
 
 18. 50"™- 
 
 19. 67.678™- 
 
 20. 649.115™- 
 
 21. 415,9iK)"'- 
 
 22. 5.26749 K'u- 
 
 23. 35,000™- 
 
 24. 86.62-^ 
 
 25. 15,480™- 
 
 26. 7lj'»- 
 
 27. 73.50672 J^'"- 
 
 28. 22.2075 '»■ 
 
 29. 300 times. 
 
 Page 179. 
 
 30. 23.85 *'»•"'• 
 
 31. 20™- 
 
 Ex. Ans. 
 
 32. $ 8.40. 
 
 33. 217.5"-; 2.175' 
 
 34. 4,585.76 »• 
 
 35. $6,556^7. 
 
 Page 180. 
 
 36. 12.043044049^"- 
 
 37. 153.41«'™- 
 
 38. $373.72^. 
 
 39. 369.6 loads. 
 
 40. $29.25. 
 
 41. 12™-; $20.25. 
 
 Page 18L 
 
 42. 20 f, 
 
 43. $1.23. 
 
 44. 75'- 
 
 45. 39"'- 
 
 46. 4.5™- 
 
 Page 182. 
 
 47. $3.09. 
 
 48. $2.31. 
 
 49. 135 grams. 
 
 50. 5.4 T. 
 
 Page 184. 
 
 51. 157.4 ft. 
 
 52. 31.0685 m. 
 
 53. 44.478 A. 
 
 54. 2.04724 in. 
 
 55. 188.7137611). 
 
 56. 6,340.08 gal. 
 
 57. 22.046 T. 
 
 58. 40.2325 ^nu 
 
 59. 80.94 "»■ 
 
 60. 2,265.36'- 
 
 61. 15.087'"- 
 
 62. 17.5065^'- 
 
KEY. 
 
 17 
 
 Ex. Ans. 
 
 Ex. Ans. 
 
 Sr. Ans. 
 
 63. 618.9-?-... 
 
 32. $4.00. 
 
 62. $5,729.75. 
 
 64. 88 9056 K?- 
 
 33. $11,250,000. 
 
 63. 3%. 
 
 
 34. 25%; 50%; 17^%. 
 
 64. $1,200.00. 
 
 Page 189. 
 
 1. $112.80. 
 
 2. $62.65. 
 
 3. 1,240 men. 
 
 4. $0,108. 
 
 35. 4%; 125%; 1%. 
 
 36. 166§%. 
 3^(931%; 94|^,. 
 
 'X 89^%; 90|%. 
 
 Page 196, 
 
 65. 500 barrels. 
 
 66. 20 acres. 
 
 67. 2%. 
 
 5. 90 days. 
 
 Page 192. 
 
 68. 30%. 
 
 6. 14.28 lbs. 
 
 38. 73,W%. 
 
 69. $637.80. 
 
 7. 438,120. 
 
 8. 1,500 ft. 
 
 39. b^\%. 
 
 Page 198. 
 
 9. 10,500. 
 
 Page 193. 
 
 70. $1,101.50. 
 
 10. 9,396. 
 
 40. $7,936.72. 
 
 71. $1,765.00. 
 
 11. $1.27. 
 
 41. $1,000,00. 
 
 72. $1,505.25. 
 
 12. 131.4 ft. 
 
 42. $1.05. 
 
 73. $3,281 25. 
 
 13. 45 in. 
 
 43. $5,970.00. 
 
 74. $3,615.00. 
 
 14. $8.32. 
 
 44. $2,400.00. 
 
 45. $7,000.00. 
 
 75. $8,903.50. 
 
 Page 190. 
 
 46. $330.00. 
 
 Page 199. 
 
 15. $1,600; $480. 
 
 47. 24|%. 
 
 76. $ 1,468.25. 
 
 16. l,816|d.; 5,450 d. 
 
 48. $577.78. 
 
 77. $2,100. 
 
 17. 627; 209. 
 
 
 78. $2,500. 
 
 18. 4,000; 6,000. 
 
 Page 194. 
 
 79. 50%. 
 
 19. 210; 294. 
 
 49. 25%. 
 
 80, $205. 
 
 20. 3^; 160. 
 
 50. 37i%. 
 
 81. $258.75. 
 
 21. 6,375. 
 
 51. $1.02;$1.44;$1.80. 
 
 'I02j+i = 103i 
 
 82 ,4.86X6X103J_3^^. 
 
 22. $5,208; $15,624. 
 
 52. 6%. 
 
 2.3. $200.00. 
 
 53. 128^%. 
 
 100 
 
 Ans. $ 30.07 
 83 HM = 0.97^1^ 
 Ans. 97i^3 % 
 
 24. $1,488.00. 
 
 25. $214.29. 
 
 26. 60/. 
 
 54. 108^. 
 
 55. 331%. 
 
 27. $500.00. 
 
 Page 195. 
 
 Page 200. 
 
 28. $ 1,041.67. 
 
 56. $3.56. 
 
 84. $10.00. 
 
 29. $1,250.00. 
 
 57. $91,575. 
 
 85. $66.00. 
 
 
 58. $6.50; $74.79. 
 
 86. $145.80. 
 
 Page 191. 
 
 59. $8.50; $161.50. 
 
 87. $81.25. 
 
 30. 40 years. 
 
 60. $81.60. 
 
 88. 1^%. 
 
 31. 600. 
 
 61. $6,151.56. 
 
 89. $13.50. 
 
18 
 
 KEY. 
 
 Page 201. 
 
 Ex. Ans. 
 
 Er. Am. 
 
 Ex. Am. 
 
 117. $0.0807. 
 
 147. $3.33. 
 
 90. $24.31. 
 
 118. $500.00. 
 
 148. $16,000. 
 
 91. $2,297.10. 
 
 119. $18,000. 
 
 ri02g + i = 102.J 
 
 
 120. $500.00. 
 
 i49>'\',:r-86 
 
 Page 202. 
 
 121. $6,000.00. 
 
 1 102i 
 
 92. \lf', $188.50. 
 
 122. $96.00. 
 
 123. lOjS^^. 
 
 Ans. 86 shares 
 150. $100. 
 
 Page 203. 
 
 124. $608.30. 
 
 151. 4%. 
 
 93. 2^m.; $8.75. 
 
 125. $ 9,657.86 worth. 
 
 Page 208. 
 
 94. $4,902.00. 
 
 Page 206. 
 
 152. $ 1,440.72. 
 
 95. $1,500,000. 
 
 153. 20%. 
 
 96. 18 mills. 
 
 126. $2,750. 
 
 154. 15%; 5%; lOf^ 
 
 97. $76.50. 
 
 127. 8 shares; $133rem. 
 
 155. $8.75; 5^ 
 
 98. $54.00. 
 
 128. $313.50. 
 
 156. $65,909.09. 
 
 99. $50.40. 
 
 129. $11,200. 
 
 157. 30 shares. 
 
 100. $141.30. 
 
 130. $22.50. 
 
 158. $ 12.00 loss. 
 
 101. $28.17. 
 
 r Specific, $276.00 
 131. ; Ad val. $ 96.60 
 
 ( Ans. $ 372.60 
 
 159. $1,008.09. 
 
 102. $ 163 22. 
 
 160. $700. 
 
 103. $117.99. 
 
 
 104. $102.37. 
 
 132. $5,495.85. 
 
 Page 211. 
 
 105. $194.27. 
 
 133. $400.00. 
 
 1. $207.36. 
 
 
 134. $2.00. 
 
 2. $41.56. 
 
 Page 204. 
 
 135. $282.00. 
 
 3. $ 156.20. 
 
 106. $714.00. 
 
 ( 96% of $450 will 
 
 4. $26.99. 
 
 107. $235.20. 
 
 136. 1 be given. 
 
 ( Ans. $ 427.50. 
 
 5. $23.41. 
 
 Page 205. 
 
 137. $250.00. 
 
 Page 213. 
 
 108. $80.33. 
 
 109. $5.77. 
 
 138. $1,161.56. 
 Page 207. 
 
 6. $0,076. 
 
 7. $0.242§. 
 
 8. $0.0201. 
 
 110. $36.38. 
 
 
 111. $3,830.40. 
 
 139. $373.50. 
 
 9. $0.00!)/.. 
 
 ( Specific, $230.133... 
 
 140. $ 15,126.50. 
 
 10. $0.0665. 
 
 112. < Adval. $131.504... 
 
 141. $180.00. 
 
 142. $302.17. 
 
 11. $0.10. 
 
 ( Ans. $361.64 
 
 12. $1.00. 
 
 113. $238.99. 
 
 143. 1%. 
 
 13. $0,473. 
 
 114. 1^\%. 
 
 144. $40.00. 
 
 14. $ i:^..'.o. 
 
 115. 0.01^. 
 
 145. $2.81. 
 
 15. $().;);"). 
 
 116. \l. 
 
 146. 40%. 
 
 16. $325.08. 
 
KEY. 
 
 19 
 
 Ex. Ans. 
 
 17. $21.82. 
 
 18. $161.64. 
 
 19. $230.33. 
 
 20. $1.66. 
 
 21. $59.79. 
 
 Page 214. 
 
 22. $185.61. 
 
 23. $3.75. 
 
 24. $403.28. 
 
 25. $50.15. 
 
 26. $0.51. 
 
 27. $3.23. 
 
 28. $653.40. 
 
 29. $624.46. 
 
 30. $1,184.13. 
 
 31. $143.96. 
 
 32. $1,047.82. 
 
 33. $504.65. 
 
 34. $939.04. 
 
 35. $ 165.30. 
 
 36. $408.95. 
 
 37. $937.37. 
 
 Page 215. 
 
 38. $4.65. 
 
 39. $4.62. 
 
 40. $9.17. 
 
 41. $11.85. 
 
 42. $4.27. 
 
 43. $4.92. 
 
 44. $28.09. 
 
 45. $113.00. 
 
 46. $44.38. 
 
 47. $9.06. 
 
 48. $360.55. 
 
 49. S 18.90. 
 
 Ex. 
 
 50. 
 
 51. 
 
 r Prin. 
 Int. . 
 
 Anit. 
 Payt. 
 
 2d prin 
 Int. . 
 
 Amt. 
 
 Page 218. 
 
 $480.00 from Oct. 12, '73, 
 9.20 to Feb. 6, '74. 
 
 489.20 
 120.00 
 
 T. 3 mo. 25 d. 
 Ratio, 0.019^. 
 
 369.20 from Feb. 6, '74, 
 12.18 to Aug. 24, '74. 
 
 T.6mo. 18d. 
 Ratio, 0.033. 
 
 $381.38 
 
 Alls. $ 381.38. 
 
 Prin. .$500.00 from May 10, '69 
 Int. . . 40.50 to Sept. 16, '70. 
 
 T. 1 V. 4 mo. 6 d. 
 
 Amt. 
 
 Int. . 
 
 Prin. 
 Int. . 
 
 52. i Amt. 
 Payt. 
 
 540.50 
 
 1st payt. 140.00 
 
 Ratio, 0.081. 
 
 2d prin. 400.50 from Sept. 16, '70, 
 Int. . . 44.86 to July 28, '72. 
 
 Amt. . 445.36p.ly-10mo.12d. 
 2d payt. 50.00 ^ ^^^^^' ^■^^'^^ 
 
 3d prin. 395.36 from July 28, 
 
 2.44 to Sept. 4, '72. 
 
 T. 1 mo. 7 d. 
 Ratio, 0.006^. 
 
 Aqis. $ 397.80. 
 
 397.80 
 
 $ 2000 from June 15, '73, 
 
 2192 
 1450 
 
 $742 
 
 T. ly. 2 mo. 12 d. 
 
 Ratio, 0.096. 
 
 Ans. $ 742. 
 
20 
 
 KEY. 
 
 Ex. 
 
 ^ Principal, 
 Interest, . 
 
 Amount, 
 1st payment; 
 
 2d princij)al 
 Interest, . 
 
 Amount, 
 2d payment, 
 
 3d principal 
 Interest, . 
 
 Amount, 
 3d payment 
 
 Amount, 
 Interest, . 
 
 Principal, 
 Interest, . . 
 
 Amount, 
 1st payment 
 
 2d principal 
 
 Interest, . 
 
 Amount, 
 2d payment 
 
 3d principal 
 Interest, . 
 
 Amount, 
 3d payment, 
 
 4th principal, 
 Interest, . . 
 
 % 1000.00 from October 5, 1874, 
 10.50 to December 8, 1874. 
 l^i^jT-2m.3d. 
 125.00 ' ^^^i^' ^-^l^i- 
 
 885.50 from December 8, 1874, 
 22.73 to May 12, 1875. 
 
 908.23 i"^-^"^- ^^• 
 316.00 ^ ^^^^' ^•^2^^- 
 
 692.23 from May 12, 1875, 
 10.96 to September 2, 1875. 
 T. 3 m. 21 d. 
 Ratio, 0.0185. 
 
 603.19 
 417.00 
 
 186.19 
 5.80 
 
 $191.99 
 
 % 935.00 
 20.88 
 
 955.88 
 125.75 
 
 from September 2, 1875, 
 to March 9, 1876. 
 T. 6 mo. 7 d. 
 Ratio, 0.031 J. 
 
 Ans. §191. 
 
 from September 1, 1875, 
 to January 15, 1876. 
 T. 4 m. 14 d. 
 Ratio, 0.022^. 
 
 830.13 from January 15, 1876, 
 59.49 to March 25, 1877. 
 T. 1 y. 2mo. lOd. 
 Ratio, 0.071 §. 
 
 889.62 
 250.00 
 
 639.62 from March 25, 1877, 
 
 4.80 to May 10, 1877. 
 ■^^jT.lmo.lSd. 
 
 300^00 ^ ^^«^i^' ^-^^'i- 
 
 344.42 from May 10, 1877, 
 85.59 to July 1, 1881. 
 
 430.01 P-^y-^"^«- 21 d. 
 ( Ratio, 0.2485. 
 
 .^/>i.,-.S 430.01. 
 
KEF. 
 
 21 
 
 Ex. 
 
 " Principal, . 
 Interest, . . 
 
 Amount, 
 
 1st & 2d payts. 
 
 2d principal, 
 Interest, . . 
 
 Amount, 
 
 1425.00 from July 13, 1869, 
 
 85.28 to Nov. 17, '72 (3 y. 4 mo. 4 d. 0.200§). 
 
 510.28 
 
 200.00 required to cancel interest. 
 
 310.28 from Nov. 17, 1872, 
 12.15 to July 12, '73 (7 mo. 25 d. 0.039i). 
 
 $322.43 ^715.^322.43. 
 
 56. X 
 
 Principal, . 
 Interest, 
 
 Amount, . 
 1st payment, 
 
 2d principal, 
 Interest, 
 
 % 800.00 from July 15, 1870, 
 
 42.47 to Apr. 18, 1871 (9 m. 3 d. 0.053^^)- 
 
 842.47 
 100.00 
 
 742.47 from April 18, 1871, 
 
 220.31 toJulyl4,'75(4y.2m.26d. 0.296lf). 
 
 962.78 
 
 2d & 3d payts., 132.50 
 
 % 830.28 Atis. % 830.28. 
 
 Page 219. 
 
 f Prin. S 10,000.75 from Oct 3 to Dec. 3, 75 (2 mo.), amounts to. . §10,100.76 
 672.41 " Nov. 5 " Dec. 3 (28 d.) amounts to 1675.55 
 
 7,682.42 " Nov. 15 " Dec. 3 (18 d.) 
 
 
 7,705.47 
 
 437.98 " Nov. 16 " Dec. 3 (17 d.) 
 
 
 439.22 
 
 833.42 " Nov. 19 " Dec. 3 (14 d.) 
 
 
 835.36 
 
 Am. % 445.16. 
 
 $445.13 
 
 Page 220. 
 
 
 
 ,200.00 from April 1, 75, to April 1, 76 (ly.), 
 
 
 . . . $1,284.00 
 
 161.08 " April 12, 75, " April 1, 76 (11 mc 
 
 .20d 
 
 ),$ 172.04 
 
 224.14 " July 19, 75, " April 1, 76 (S mo. 
 
 13 d.^ 
 
 , 235.17 
 
 17.90 " July 28. 75, " April 1, 76 (8 mo. 
 
 4d.) 
 
 . 18.75 
 
 100.25 " Jan. 29, 76, " April 1. 76 (2 mo. 
 
 3d.) 
 
 . 101.48 
 
 
 
 Ans. % 756.56. 
 
 $756.56 
 
22 
 
 KEY. 
 
 Page 221. 
 
 Ex. 
 
 Ans. 
 
 Ex. Ans. 
 
 90. $197.04; $2.96. 
 
 59. 10 mo. 
 
 91. $167.69; $8.11. 
 
 60. 3 years. 
 
 61. ly. 6 mo. 
 
 62. ly. 4 mo. 12 d. 
 
 92. $650; $11.37^. . 
 
 93. $1,540; $69.30. 
 
 63. 5 y. 6 mo. 20 d. 
 
 94. $590.16. 
 
 64. 5 y. 4 mo. 3 d. 
 
 95. $123.64. 
 
 65. 1 y. 6 mo. 
 
 96. $1,533.85. 
 
 66. 6 mo. 
 
 
 Received for grain, . $1,050. 00 
 
 r 100 y. ; 60 y. ; 33 y. 
 67. < 4 mo. ; 16 y. 8 mo. ; 
 ( lOy. 
 
 97. < 
 
 P. W. of $ 1,500, . 1,442.31 
 
   
 
 Ans. $207.69 
 
 68. 8%. 
 
 69. 2f%. 
 
 
 Cost of books, $ 152.00 
 
 98. I 
 i 
 
 P. W. of $240, 235.87 
 
 Page 222. 
 
 Gain, .$83.87 Ans. $S3.87- 
 
 70. 4|%. 
 
 
 
 71. 9%. 
 
 
 Page 227. 
 
 72. Z\%. 
 
 
 
 73. 2%. 
 
 99. $4.13; $745.87. 
 
 74. bl%. 
 
 100. $18.08; $981.92. 
 
 75. 10%. 
 
 101. $8.20; $291.80. 
 
 
 102. $14.(X); $686.00. 
 
 Page 223. 
 
 103. (Time, 95 d.) $9.90; $490.10. 
 
 76. % 125.00. 
 
 
 
 77. $100.00. 
 
 
 Page 228. 
 
 78. $1,020.00. 
 
 
 
 79. $68.20. 
 
 104. 
 
 (Due Feb. 28/Mar. 3. Time, G3 d.) 
 
 80. $72.00. 
 
 $4.57; $285.43. 
 
 81. $600.00. 
 
 105. $5.25; $494.75. 
 
 82. $600.00. 
 
 106. $4.11; $252.73. 
 
 83. $2,063.65. 
 
 107. < 
 
 (Due April 30/May 3. Tim.'. .^G d.) 
 
 84. $400. 
 
 $9.33; $1,190.67. 
 
 85. $83.86. 
 
 
 ^Amount of $324 for 1 y. 3d. 
 
 86. $300.00. 
 
 
 at 6%, $343.60 
 
 87. $200.00. 
 
 
 Discount of $ 343.60 f(.ri)9d. 
 
 
 108. - 
 
 at 7%, O.fil 
 
 Page 225. 
 
 
 88. $25; $2.50. 
 
 
 Avails, e 336.99 
 
 89. $97.08; $3.88. 
 
 
 ^Ans. $336.99. 
 
KEY. 
 
 23 
 
 Ex. 
 
 
 Ex. 
 
 Ans. 
 
 
 'Amount of $4000 for 
 
 132. i 
 
 1 2.86. 
 
 
 6 mo. 3d. at 10 ^,$4,203.33 
 
 133. i 
 
 ^ 60.00. 
 
 
 Disc'nt of $4,203.33 
 
 
 
 109. - 
 
 for 88 d. at 10%, . 102.75 
 
 
 Page 233. 
 
 
 134. 
 
 1 234.32. 
 
 
 . ( $102.75, discount. 
 ^^" ( $ 4,100.58, avails. 
 
 135. 
 
 ^ 915.71. 
 
 
 136. 
 
 I 85.16. 
 
 Ans Page 229. 
 
 137. 
 
 I 45.06. 
 
 110. $80.44. 
 
 138. 
 
 I 2,396.56. 
 
 111. $500.00. 
 
 
 Page 237. 
 
 112. $1,500.00. 
 
 
 Due. Items. Days. Int. 
 
 113. $950.00. 
 
 
 March 31, $ 400 
 
 CBy true discount, $178,571 
 
 
 April 30, . 300 30 $3.00 
 
 114. - 
 
 1 By bank discount, 175.867 
 
 139.' 
 
 May 30, . 200 60 4.00 
 
 Am. $2.70 
 
 1 day's int.of $900 = 0.30) 7.00 (23 
 
 r Bank discount 1 j^ 178.88 
 1 (Tune, 117 d.) ^ 
 
 
 .Mar. 31 + 23d. = Apr. 23. Ans. 
 
 115.- 
 
 True discount I iwi -->/% 
 (Time, 3 mo. 24 d.) ) ^'^"^^ 
 
 
 Due. Items. Days. Int. 
 Nov. 5, . $ 800 
 
 Ans. <^7.83 
 
 Dec. 8, . 800 33 $8.80 
 
 116. $492.61. 
 
 140. - 
 
 Feb. 3, . 800 90 24.00 
 
 117. (Time, 34d.) $497.17. 
 
 
 1 day's int. of $2,400 = 0.8) 32.80 
 
 Page 230. 
 
 
 41 
 
 118. $506.00. 
 
 
 ^Nov. 5 + 41 d. = Dec. 16. Ans. 
 
 119. (Time, 2 mo.) $4.95. 
 
 120. (Time, 64 d.) $5.33. 
 
 
 Due. Items. Days. Int. 
 Sept. 10, . $ 900 
 Oct. 21, . 2,250 41 30.75 
 
 121. $117.80. 
 
 
 Oct. 28, . 1,050 48 16.80 
 
 122. $421.38. 
 
 141.- 
 
 
 123. $310.05. 
 
 
 1 day's int of $4, 200 =01. 4) 47.55 
 
 124. $33.33. 
 
 
 33.9 
 
 125. $ 1.20. 
 
 
 .Sept. 10 + 34 d. = Oct. 14. Ans. 
 
 126. $65.00. 
 
 
 Due. Items. Mos. Int. 
 
 127. ^^-^'^^^^^^-$1.85. 
 ( 9x4 
 
 
 $430 
 270 4 $10.80 
 300 3 9.00 
 
 Page 232, 
 128. $238.20. 
 
 142. 
 
 ' Imo.'s int. of$l,000 = $10) 19.80 
 
 129. $426.03. 
 
 
 1.98 
 1.98 mo. = 1 mo. 29 d. 
 
 130. $2,513.04. 
 
 
 Ans. 
 
 131. 
 
 $ 2,217.44. 
 
 , 
 
 .5 mo. -f- 1 mo. 29 d.=6 mo. 29 d. 
 
24 
 
 KE7. 
 
 Ex. Ans. 
 
 143. 6 mo. 13 d. 
 
 Due. 
 
 May 10, . 
 
 July 15, . 
 
 July 3, . 
 
 145. \ July 18, . 
 
 1 day's int. o 
 
 Items. 
 
 $200 
 300 
 520 
 250 
 
 I 144. 
 Mos. 
 
 
 66 
 54 
 69 
 
 Ans. 
 15 rao. 
 
 Int- 
 
 $6.60 
 9.36 
 5.75 
 
 $1,270 = 0.424) 21.71 
 
 May 10 + 51 d.= June 30. 
 
 146.-^ 
 
 Due. 
 April 10, 
 April 28, 
 Ai)ril 29, 
 July 7, 
 July 12, 
 
 j's, int. ol 
 
 Items. 
 
 $438 
 254 
 145 
 300 
 159 
 
 Days. 
 
 18 
 19 
 88 
 93 
 
 51 
 Ans. June 30, 1876. 
 
 Int. 
 
 $1,524 
 0.918J 
 8.800 
 4.929 
 
 $1,296=0.432) 16.171i 
 
 37 
 April 10 + 37 d. = May 17. Ans. May 17, 1876. 
 
 Page 240. 
 
 Date. 
 April 1, 
 July 8, 
 
 147.^ 
 
 Dr. 
 
 Items. 
 
 $1,000 
 119 
 
 $1,119 
 
 Days. Int. 
 
 
 98 $3.89 
 
 3.89 
 
 Date. 
 April 14, 
 Aug. 10, 
 
 Cr. 
 
 Items. 
 
 $1,393 
 94 
 
 $1,487 
 1,119 
 
 Days. Int. 
 13 $6.04 
 131 4.10 
 
 $10.14 
 3.89 
 
 Date. 
 June 5, 
 Sept. 5, 
 Sept. 15, 
 
 1 day's int. of $ 368 = 0.122) 
 
 April 1 + 51 d. = May 22. Ans. May 22, 1877. 
 
 Dr. 
 
 Items. Days. 
 
 . $400 
 
 . 600 92 $8.40 
 
 . 200 102 6.80 
 
 Int. 
 
 148. 
 
 $1,200 
 1,150 
 
 $ 25.20 
 23.97 
 
 Date. 
 July 31, 
 Aug. 7, 
 Aug. 13, 
 
 Cr 
 
 Items. 
 
 $250 
 700 
 200 
 
 Days. 
 56 
 63 
 
 6.25 
 51 
 
 Int 
 $4.67 
 14.70 
 4.60 
 
 $1,150 
 
 $23.97 
 
 1 day's int. of $50=0.016§) 1.23 
 
 "74 
 June 5 + 74 d. = Aug. 18. Ans. Aug. 18, 1876. 
 
KEY. 
 
 25 
 
 Ex. 
 
 149. 
 
 
 Dr. 
 
 Date. 
 
 Items. 
 
 Feb. 5, . 
 
 . $600 
 
 Apr. 8, . 
 
 . 420 
 
 $1,020 
 800 
 
 Days 
 
 Int. 
 
 
 
 
 
 62 
 
 $8.68 
 
 
 $8.68 
 
 
 Cr. 
 
 
 Date. 
 
 Items. 
 
 Days. Int. 
 
 April 1, . 
 
 . $500 
 
 55 $9,167 
 
 Mar. 16, . 
 
 . 300 
 
 39 3.90 
 
 $800 
 
 1 day's int. of $220 = 0.073 J 
 
 Feb. 5, 78 - 60 d. = Dec. 6, 77. Ans. Dec. 
 
 77. 
 
 150. 
 
 
 Dr. 
 
 
 Date. 
 
 Items. 
 
 Days. Int. 
 
 Oct. 19, 
 
 . $173 
 
 25 $1,441 
 
 Oct. 14, 
 
 . 315 
 
 20 2.10 
 
 Oct. 18, 
 
 . 230 
 
 24 1.84 
 
 Nov. 30, 
 
 81 
 
 67 1.809 
 
 
 $799 
 
 $7.19 
 
 
 602 
 
 0.612 
 
 1 d.'s int. 
 
 of $197= 
 
 0.0651) 6.578 
 
 Date. 
 Sept. 24, 
 Oct. 12, 
 
 Cp. 
 
 Items. 
 
 $ 500 
 102 
 
 $602 
 
 $13.07 
 8.68 
 
 ) 4.39 
 60 
 
 Days. Int. 
 
 
 
 18 $0,612 
 
 $0,612 
 
 100 
 Sept 24 + 100 d. = Jan. 2, 77. Ans. Jan. 2, 1877. 
 
 151. 
 
 
 Dr. 
 
 Date. 
 
 Items. 
 
 April 6, 
 
 . $340 
 
 Feb. 24, 
 
 . 582 
 
 May 21, 
 
 . 85 
 
 July 29, 
 
 . 2,200 
 
 $3,207 
 
 1 d.'s int. of $1,734 = 
 Jan. 1 - 37 d. 
 
 Days 
 
 Int. 
 
 95 $10,767 II 
 
 54 
 
 10.476 
 
 140 
 
 3.967 
 
 209 
 
 153.267 
 
 $178.47711 
 
 
 Cr. 
 
 
 Date. 
 
 Items. 
 
 Days. Int. 
 
 Jan. 1, 
 
 . $361 
 
 
 
 Apr. 15, 
 
 . 4,000 
 
 104 $138,667 
 
 Apr. 7, 
 
 . 580 
 
 96 18.56 
 
 157.227 
 
 $4,941 
 3,207 
 
 $157,227 
 
 $1,734 
 0.578) 21.25 = 36.7 d. 
 
 = Nov. 25. Ans. Nov. 25, 1877. 
 
 Page 243. 
 Ex. Ans. 
 
 1. $808.00. 
 
 2. $2,505.00. 
 
 3. $703.50. 
 
 4. $1,960.00. 
 
 Ex. Ans. 
 
 5. $696.50. 
 
 6. $506.76. 
 
 7. $273.63. 
 
 Page 244. 
 
 8. $2,430.00. 
 
 Page 246. 
 Ex, Ans. 
 9. $4,840.00. 
 
 10. $106.80. 
 
 11. $109.60. 
 
 12. $47.50. 
 
26 
 
 KEY. 
 
 Ex Ans. 
 
 13. $366.55. 
 
 14. ^2,000. 
 
 15. £400 10s. 
 
 16. $4,340.00. 
 
 17. $905.25. 
 
 18. $2,500.00. 
 i $ 1,000 X 1 
 
 19 )$ 2,000 X 1 
 
 Page 246. 
 
 / 
 
 .10|-$ 1,107.50 
 .14 = 2,280.00 
 
 Ans. $3,387.50 
 
 20. $3,000 X 1.09|-$ 3,277.50. 
 
 Page 247. 
 
 21. $369.90. 
 
 22. 2,Vj%. 
 3 X 1.02^ 
 
 23 
 
 1.10 
 
 Ans. Mortgage ; ^ % more. 
 
 ( $225x4x100x105^ = $ 21 050 
 24.^ 4ixl00 ^ ' • 
 
 I Ans. $21,050. 
 
 25. 16§%. 
 
 26. $94.20. 
 Piin. 
 Int. . 
 
 Amt. 
 Payt. 
 
 2d pvin 
 Int. . 
 
 Anit. 
 Payt. 
 
 3(1 prin 
 Int. . 
 
 Amt. 
 
 27. 
 
 $500.00 from May 10, 1875, 
 
 12.25 to Sept. 16, 1875. 
 -^j;7:jT.4mo.6d. 
 ^4Q 00 I Katio, 0.024i. 
 
 372.25 from Sept. 16,1875, 
 48.64 to July 28, 1877. 
 
 7;0-;^jT.ly.l0mo.l2d. 
 50.00 < J^«tio, 0.130§. 
 
 370.89 from July 28, 1877, 
 
 2.596 to Sept. 3, 1877. 
 .,-., ,Q S T. 1 mo. 6 d. 
 '''•'^ ^ Patio, 0.007. 
 
 Am. $373.49. 
 
 Ex. 
 
 Ans. 
 
 29. 11 mo. 
 
 30. $600.00. 
 
 31. $ 179.25. 
 
 32. $49.27. 
 
 33. $400.00. 
 
 34. $20.46. 
 
 Page 248. 
 
 43. 
 
 44. 
 
 45. 
 
 35. $2.06. 
 
 36. $99.50. 
 
 37. $1,308.74. 
 
 38. 3 mo. 
 
 39. $1,251.13. 
 
 40. 6 T. 772 lb. 
 
 41. $39.36. 
 
 42. $437.93. 
 
 500 xl.07j = S 2,687.50 
 
 Ans. $ 2,687. 50. 
 
 Length, 2-2*5 yds. ; 
 
 breadth, ^^ yds. 
 j Com. $ 13.27. 
 (Rem. $530.73. 
 
 46. $43.75. 
 
 47. 3^ mo. 
 
 48. b% gain. 
 
 Page 249. 
 
 49. $4,365.00. 
 
 50. $32.19. 
 
 51. 31^%. 
 
 52. 50 years. 
 
 53. $124.00. 
 
 54. $57.50. 
 
 55. $1.57. 
 
 56. 8mill>*: $16. 
 
 57. I? :)<>•-'. 77. 
 
KEY. 
 
 27 
 
 f Prin. . $2,500.00 
 Int. . . 273.33 
 
 58.^ 
 
 Amt. . 2,773.33 
 lst&2dpt. 550.00 
 
 2d prin. 
 Int. . . 
 
 2,223.33 
 23.72 
 
 Amt. . $2,247.05 
 
 ^ Ans. 
 
 59. $3,754.00. 
 
 60. $400.00. 
 
 Page 250. 
 
 61. (Time. 93d.) $147.92. 
 
 62. (T.4mo. 10 d.) $146.55. 
 
 63. $154.31. 
 
 64. $196.08. 
 
 Page 252. 
 
 For answers to drill ex- 
 ercises on Table No. 8, 
 see page 78 of this Key. 
 
 Page 255. 
 
 1. J^. 6. ^. 
 
 2. ^V 7. if. 
 
 3. ^\. 8. 7. 
 
 4. ^. 9. 6. 
 
 Page 257. 
 
 10. 850. 
 
 11. 1,750. 
 
 12. 736f. 
 
 13. 3,250 tons. 
 
 14. 35 hats. 
 
 15. $27.30. 
 
 Page 258. 
 
 16. $70. 18. $750. 
 
 17. $20. 19. $7.13 
 
 from Sept. 5, 1875, 
 to July 1, 1877. 
 T. 1 y. 9 mo. 26 d. 
 Ratio, 0.109J. 
 
 from July 1, 1877, 
 to Sept. 5, 1877. 
 
 i T. 2 mo. 4d. 
 
 \ Ratio, 0.010§. 
 Ans. $2,247.05. 
 
 Page 269. 
 Ex. Ans. 
 
 20. 31,680 feet. 
 
 21. 2,500 bushels. 
 
 22. 106i%feet. 
 
 23. 15 cents. 
 
 24. l,076i| times. 
 
 25. $4.66. 
 
 26. 1 lb. 6^ oz. 
 
 27. 23jdays. 
 
 28. 5-f- mo. 
 
 29. 3 lb. 4^ oz. 
 
 30. 9if yds. 
 
 31. 36 tons. 
 
 32 n2:150=l:x. 
 ( Ans. 12^ min. 
 
 Page 261. 
 
 33. $30. 
 
 34. 42 days. 
 
 Ans. $30.86. 
 
 36. 26 miles. 
 
 Page 262. 
 
 37. 250 tons. 
 
 38. 1931^ lb. 
 
 39. $49.25. 
 
 40. $ 121^ rods. 
 
 »l 
 
 Ex. Ans. 
 
 41. $933.33. 
 
 42. 18 men. 
 
 43. 54 days. 
 
 44. 9,680 bricks. 
 
 45. 1 T. 328| lb. 
 
 46. 5T. 8161b. 
 
 Page 263. 
 
 4^ (A's, $1,875; 
 * ( B's, $ 1,125. 
 4g ( B's, 831 T.; 
 (S's, 166fT. 
 
 Page 264. 
 
 fM., $570.53; 
 ' N., $221.87; 
 
 O., $316.96; 
 
 P., $316.96. 
 
 A's, $ 5,625 ; 
 
 B's, $ 7,500 ; 
 ( C's, $ 9,375. 
 51. $375; $500; $625. 
 
 H.$500;B.$506; 
 L. $ 480. 
 I X's, $ 332.50; 
 \ Y's, $ 525. 
 
 (-1,000x3 = 3,000 
 
 450x3 = 1,350 
 
 1,150x6 = 6,900 
 
 49. 
 
 50. 
 
 52 
 
 53 
 
 54. 
 
 11,250 
 
 3,000x8 = 24,000 
 3,300x1 = 3,300 
 2,400x2= 4,800 
 
 32,100 
 R's part, 
 
 ^^\, or $908.30. 
 
 Fs part, 
 
 ^, or $2,591.70. 
 
 R's, $ 908.30. 
 P's,$2,591.70. 
 
28 
 
 KEY. 
 
 Page 266. 
 
 Ex. 
 
 Ans. 
 
 
 Ex. Ant. 
 
 Er. Ans. 
 
 35. 6.082... 
 
 
 68. 0.9654... 
 
 ( 1, 8, 27, 64, 125, 
 
 36. 2.321... 
 
 
 69. 0.9546... 
 
 l.< 216, 343, 512, 
 
 37. 0.883... 
 
 
 70. 3.986... 
 
 I 729, 1,000. 
 
 38. 1.414... 
 
 
 71. 0.6463... 
 
 2. 289. 
 
 39. 0.3794.. 
 
 
 72. 0.9718... 
 
 3. 784. 
 
 40. 5.059... 
 
 
 73. 1.259... 
 
 4.1^. 
 
 41. 16.50. 
 
 
 74. 332 in. 
 
 5. 0.0289. 
 
 42. 536. 
 
 
 75. 6.349... ft 
 
 6. 3f. 
 
 43. 94 ft. 
 
 
 76. 41.07... in. 
 
 7. 104.04. 
 
 44. 49 men. 
 
 
 77. 51.89... in. 
 
 8. 3,375. 
 
 45. 140 feet 
 
 
 mQ < Without cover, $ 5.86 ; 
 
 9. 0.001728. 
 
 46. 84. 
 
 
 '^•■( with cover, ^7.03. 
 
 10. 14,641. 
 
 47. 112. 
 
 
 For answers to drill ex- 
 
 11. ^. 
 
 48. 87.63... 
 
 rods. 
 
 ercises 247 and 248, see 
 
 12. 0.03125. 
 
 49 \ Length 
 ( breadtl 
 
 , 100; 
 
 page 85 of this Key. 
 
 13. 3.61. 
 
 I, 50. 
 
 Page 280. 
 
 14. 272^. 
 
 15. 5.76. 
 
 50. 9.704 .. 
 
 rods. 
 
 1 (4j8q.ft. = 48q.ft.248q. 
 ^•i in. 
 
 
 
 
 "~I 1 of 1.728 
 
 16. 0.0576. 
 
 
 
 
 stones 
 must form 
 
 2. 103J sq.ft. 
 
 17. 0.004096. 
 
 Page 271. 
 
 18. 137. 
 
 51. < 
 
 
 
 a square. 
 
 3. 180 sq. ft. 
 
 4. 10,624 8(1. ft. 
 
 5. 19.52^yA. 
 
 52. 
 
 4.5 feet. 
 
 ength,60ft.; 
 idth, 45 ft. 
 
 19. 901. 
 
 Page 
 
 276. 
 
 Page 282. 
 
 20. 93.7. 
 
 53. 23. 
 
 
 6. 75.3984 ft. 
 
 21. 8.17. 
 
 54. 46. 
 
 
 7. 25.1328 ft 
 
 22. 7.4a 
 
 55. 7.4. 
 
 
 8. 31.8309... ft. 
 
 23. 0.43. 
 
 56. 98. 
 
 
 9. 18.3478... sq. ft. 
 10. 346.3614... sq. ft 
 
 24. 234.1. 
 
 57. 143. 
 
 
 25. 2.237. 
 
 58. 24.2. 
 
 
 11. 44.8369... rods. 
 
 26. 60.47. 
 
 59. 43.6. 
 
 
 12. 12 planks. 
 
 27. A. 
 
 60. 9.35. 
 
 
 J 2 ( 11X).5312 ft 
 * \ 268 persons. 
 
 28. \l 
 
 61. 9.405... 
 
 
 29. §, or 0.666... 
 
 62. 7.020... 
 
 
 
 30. 0.529... 
 
 63. 0.7067.. 
 
 
 Page 283. 
 
 31. 0.866... 
 
 64. 0.928... 
 
 
 14. 30 ft. 
 
 32. 1.590... 
 
 65. V\f. 
 
 
 15. 19.5 ft 
 
 33. 2.723... 
 
 66. ^ = f 
 
 
 16. 18.330... ft 
 
 34. 2.924... 
 
 67. 
 
 3. 
 
 5. 
 
 
 17. 6,600 ft 
 
KEY. 
 
 29 
 
 Page 284. 
 Ex. Ans. 
 
 18. 82.683... ft. 
 
 40 B 72 
 
 19. 
 
 20.4 
 
 Ans. A,20rd.; C, 24 rd. 
 ' 276.099... rods, or 276.1..., 
 if roots are found to ten- 
 thousandths; thus, 
 
 V/40^ + 60'-^ =72.1110... 
 V^60^+57^= 82.7586.. 
 V/o7^ + 36-^ = 67.4166.. 
 ^36^ + 40'^ =53.8144.. 
 
 276.1006.. 
 
 21. 
 22. 
 €3. 
 
 24. 
 25. 
 
 21.213... ft. 
 23.043... ft. 
 39 inches. 
 I 8.660... ft.; 
 (43.3... sq.ft. 
 24 ft. ; 240 sq. ft. 
 
 Page* 288. 
 
 26. 448 cu. in. 
 
 27. 216.5 cu. ft. 
 
 28. 907.5 cu. ft. 
 
 29. 
 
 30. 
 
 Page 289. 
 
 V^12xl08 = 36 
 
 (12 + 108 + 36)6 = 936 
 
 Ans. 936 cu. in. 
 (81+108 + 144)8x4 
 
 3x5 
 710.4 X 4 
 
 := 710.4... 
 
 568.32 
 
 . i 710.4 bu. shelled; 
 Ans. { ' 
 
 ( 568.32 bu. unshelled. 
 31. 40 sq. yd. 8 sq. ft. 
 
 Ex. Ans. 
 
 32. 720 sq. ft. 
 
 33. 220 ft. 
 
 ( 11x11x 3.1416x14 
 
 34. } 
 
 = 5.7596 
 
 2 X 2 X 231 
 ( Ans. 5.7596 gal. 
 
 35. 14.1372 sq. ft. 
 
 36. 18ft.; 1,060.29 cu. ft. 
 
 37. 51.051 sq. yd. 
 
 f Area of top, . . 176.715 
 Area of bottom, 113.0976 
 Mean pro. . . 141.372 
 
 38. 
 
 431.1846 X 6 X 1728 
 
 4311846 
 = 6,450.9696 
 
 3 X 231 
 
 L Ans. 6,450.9696 gal. 
 
 39. 3.1416 sq. ft. 
 
 40. $42.98. 
 
 41. 113.0976 cu. ft. 
 
 42. 144,109,433.16... sq. m. 
 
 Page 290. 
 
 43. 34f yards. 
 
 Page 291. 
 
 44. 1,848 ft. 
 
 45. 19.63495 rods. 
 
 46. 125 gallons. 
 
 47. $0.93. 
 
 48. $ 162.00. 
 
 49. $4.86. 
 
 50. 9.071 in. 
 
 Page 292. 
 
 51. 18|f oz. 
 
 52. 3,188.046... lb. 
 14.68... in.; 
 6.349... in. 
 21603; 79123= 1 .y. 
 
 Ans. 49.14... bodies. 
 
 53. 
 
 54 
 
30 
 
 KEY. 
 
 Ans. 
 
 1 : 1000= 79123 :ic8 
 Ans. 79,120 miles. 
 
 2 : 1 = 123 : cc8 
 Ans. 9.524... in. 
 
 57. 4.32 tons; 6.86 tons. 
 
 Ex. 
 55. 
 
 56. 
 
 58. 
 59. 
 60. 
 61. 
 62. 
 63. 
 64. 
 
 65. 
 
 66. 
 67. 
 
 68. 
 
 Page 293. 
 11^. 
 
 0.7589... 
 712^; 1,187^. 
 22^; 5; 17^. 
 10,000 lb. 
 
 S's, % 389.50; L's, $ 1,046.00. 
 6,436,343; 884,736. 
 (961; 39 rem. 
 ( 31 on each side. 
 3,233.32... ft. 
 lOf ft. 
 20 ft. 
 
 '15.708x160 
 
 28.2842. 
 
 V' 3.1416 
 
 28.2842 X 2 X 3.1416 = 177.71528... 
 
 31.2842X2X3.1416 = 196.56488 .. 
 
 Sum, 374.28016... 
 
 Ans. 374.28... rods. 
 
 ( 5 X 231 
 70. \ 25 X 3.1416 
 
 = 14^^ 
 
 Ans. 14jf in. 
 
 71.^ 
 
 V^rT(W=ll| 
 14 X 3.1416 xll§. 
 
 256.56. 
 
 Ans. 256.56... sq. ft. 
 
 72. i hour. 
 
 Page 295. 
 
 73. 227 J lb. 77. 1,900. 
 
 74. 16.\. 78. 32.249... ft. 
 
 75. 3o'^V '^^' S 5,274.84. 
 
 76. 375 barrels. 80. % 6,080.00. 
 
 Ex. Am. Ex. Ans. 
 
 81. f 84. 2h. 24 m. 
 
 82. $95,388.75. 85. 120 shares. 
 
 83. 44lf%. 
 
 Page 296. 
 86. 4 dozen. 
 
 Trae discount, $12.04 
 Bank discount, 12.658 
 
 87. 
 
 3 0.618 
 Ans. $0.62. 
 
 88. $803.19. 
 
 89. Face of note, $303.19. 
 
 90. $1,593.00. 
 
 $1355.75x227 
 
 $771.32. 
 
 =$1,584.43. 
 
 746.286. 
 Ans. 746.286 ft. 
 
 Item. 
 
 Time. 
 31 
 
 94.^ 
 
 Due. 
 
 JS77- 
 Sept. 17. . .8 200 
 Aug. 17, . . 500 
 Sept 17, . . 300 31 
 
 Int 
 82.066 
 
 1 day's int. of 1,000 
 
 3.10 
 0.333 ) 5.106 
 16 
 
 Aug. 17 + 16 d. = Sept. 2. 
 
 Ans. Sept 2, 1877. 
 
 95. 131° 20' 38" W. 
 
 Page 297. 
 
 96. $41.50. 
 
 97. 40,882i bricks. 
 
 98. 6.2832 in. 
 
 99. Ih. 29m. 18^ s. P.M. 
 A's loss, $13,750; 
 B'a los.s, $11,000; 
 
 100. -I c's loss, $8,250. 
 C iwys A, $8,250. 
 Bimys A, $3,000. 
 
KEY, 
 
 Ex. Ana. 
 
 Ex. 
 
 Ans. Ex. Ans. 
 
 101. $12 gain. 
 
 29. 
 
 68^6- 32. 2,525Je- 
 
 102. $2.59f 
 
 30. 
 
 52^V 33. 3,751,V 
 
 
 31. 
 
 915yV 
 
 Page 298. 
 
 
 1 6 
 
 |'V/12.75 = 3.5707 
 
 
 Page 306. 
 
 , .,.-, 1 (3.5707 X 4 X 16J) + (7 x4) = 263.6662 (ft.) 
 263.6662 x 7 x 5 = 9228.41. 
 
 Ans. $92.28. 
 
 34. 
 
 830 links. 
 
 35. 
 
 0.45 ch. 
 
 36. 
 
 11.56 ch. 
 
 104. 94.0032 gal. 
 
 37. 
 
 72.2 rd. 
 
 105. $5.07. 
 
 38. 
 
 129 rd. 1.32 ft. 
 
 106. Gained $0.71. 
 
 39. 
 
 93 rd. 14.52 ft. 
 
 107. 19 T. 1,3751b. 
 
 40. 
 
 150 acres. 
 
 ^^g (Length, 6.697... ft. 
 * (Diameter, 5.640... in. 
 
 41. 
 
 108 acres. 
 
 42. 
 
 7.0448 acres. 
 
 (0:138 = 480:. 
 
 43. 
 
 111.32854 acres. 
 
 ( Ans. 2 miles 480 feet. 
 
 
 Page 310. 
 
 Page 301. 
 1. 3,564. 
 
 44. 
 
 $80.15. 46. $250.82. 
 
 2. 263,736. 
 
 45. 
 
 $ 42.59. 
 
 3. 579,942. 
 
 
 Page 315. 
 
 4. 368,373,159. 
 
 
 ( 18X100=20 
 
 5. 69,999,993. 
 
 
 1 9 ^^ 
 
 6. 244,510. 
 
 47. 
 
 ]^¥o¥-^-24 
 
 7. 3,558,220. 
 
 
 ( Ans. 24/. 
 
 8. 54,931,835,204. 
 
 48. 
 
 3 more. 
 
 9. 26,496; 13,248. 
 
 49. 
 
 ( 16|days ; 50 miles east of the 
 ( point. 
 
 10. 330,399; 195,792. 
 
 
 11. 231,660; 308,880. 
 
 
 ( ap^xjJ)o = 50 
 
 ^2 i 2,772,605; 
   ( 7,561,650. 
 
 50. 
 
 ] M = i = 50% 
 
 
 ( Alls. 50 fo 
 
 Page 302. 
 
 51. 
 
 $1,800.00. 
 
 13. 621. 21. 11,025. 
 
 
 ( 5x30 = 150 
 
 14. 616. 22. 30|. 
 
 52. 
 
 < 150-^25 = 6 
 
 15. 1,209. 23. 72^. 
 
 
 ( Ans. 6 bushels. 
 
 16. 2,025. 24. 132J. 
 
 17. 3,024. 25. 182|. 
 
 53 
 
 r 34.10x125^ 
 100x1.10 ^ 
 
 18. 7,221. 26. 9,900|. 
 
 oo. 
 
 38|-31 = 7f 
 
 Ans. 7| gai. 
 
 19. 3,025. 27. 272 J. 
 
 
 20. 7,225. 28. 39^. 
 
 54. 
 
 28%. 
 
32 
 
 KEY. 
 
 Ex. 
 
 55. 
 
 56. 
 
 Ans. 
 
 X 100x3 
 75 
 
 ^36, cost of the 
 whole. 
 
 36x1.08^-9 = 30 
 
 Ans. $30. 
 r $24x2x100 
 
 120 
 $24x2x100 
 
 140 
 $60 
 
 57. 
 
 58. 
 59. 
 
 60. 
 
 80 
 100-96 = 4 
 
 Ans. $ 4.00 loss. 
 ' If -^ of 1st part equals f of 
 2d part, all of the 1st part 
 must equal ^^ of 2d part. 
 
 Ans. 12 and 40. 
 237^V cu. yd. 
 
 Page 316. 
 
 \ Avails of note, $ 108.84. 
 I Ans. $181.40. 
 
 f Prin. $1,000.00 
 Int. . 80.00 T. 1 y. (0.08). 
 
 61. 
 
 Amt. 1,080.00 
 1st pyt. 200.00 
 
 2d prin. 880.00 
 
 Int. . 70.40 T. 1 y. (0.08). 
 
 Amt. 
 2d pyt. 
 
 3d prin. 
 Int. . 
 
 950.40 
 200.00 
 
 750.40 
 60.032 T.ly. (0.08). 
 
 Amt. 810.432 
 3d pyt. 200.000 
 
 4th prin. 610.432 , m i r ^ 
 T, . ^ A TiQ \ T.lm.5d. 
 
 Int. . 4./48]j^Q^Q^.j^ 
 
 I Jus. $615.18 
 
 Ex. 
 62. 
 
 63. 
 
 Ans. 
 
 4.12x110 
 
 4.40 
 
 1.03 X 100 
 
 Ans. $4.40. 
 Area of large end, 7.0686 
 Area of small end, 4.90875 
 Mean proportional, 5.8905 
 
 64. 
 
 65. 
 66. 
 
 67. 
 
 17.86785 
 
 17.86785X6X62^X0.06 = 4,020.26... 
 
 Ans. 2T. 20.26... lb. 
 
 402 X 3.1416 = 5,026.56 
 (Wx 3.1416 = 4,417.875 
 
 608.685 
 Ans. 608.685 sq. ft. 
 V^3'-^ + 33-^ = 33.136... 
 
 Ans. 33.136... miles. 
 $ 825.00. 
 r$ 87.50x85 
 
 100 — ==^^^*- 
 
 $ 87.50 x34J 
 
 Too = S^^^- 
 
 $ 87.50 x34ix 100 
 
 100 X 87.50 X 85 
 
 Ans. 40^^%. 
 
 40H%. 
 
 v/^ 
 
 q2 
 
 1 = 5.196.. 
 
 180 feet. 
 
 70. 
 
 $ 481.60 from June 8, 76, 
 69.59 to Nov. 4, 77. 
 
 Prin. 
 Int. 
 
 Amt 651 10 ' T. 2 y. 4 mo. 27 d. 
 mpa yt?8t^ ^^tio. 0.144^. 
 
 2d prin. 370.59 
 
 Int. . 11.056 to May 3, 78. 
 
 2d i^ayt. 240.80 ^ ^^'°' ^-^^l 
 
 8d prin. 140.846 
 
 Int . 3.145 to Sept 17, 78. 
 
 2,889.60 - 143.99 = 2,745.61. 
 Ans. $2,715.61. 
 
KEY. 
 
 33 
 
 Page 317. 
 
 Ex. Ans. 
 
 Ex Ans. 
 
 103. $3.95^2^ or $3.951.... 
 
 71. $797. 
 
 104. 1,879; $44.22. 
 
 72. 48mf|^ A. 01-481.668... A. 
 
 105. Check $ 1,506 ; unpaid $ 194 
 
 73. 1,944 feet. 
 
 106. $44.64. 
 
 74. 3| miles or 3.375 miles 
 
 
 75. 45^%° or 45.5°. 
 
 Page 320. 
 
 76. 789 persons. 
 
 107. Mr. Searle; $55.47. 
 
 77. 59 persons. 
 
 108. $513.56. 
 
 ^g ( 631,580 salmon. 
 * ( 12,000,020 pounds. 
 
 109. $6.37. 
 
 110. $277.56. 
 
 79. 1891. 
 
 111. $265.57. 
 
 80. 789 whales. 
 
 112. Gain $16.75. 
 
 81. $3,256,959. 
 
 113. $22.84. 
 
 
 / 425 at 54)^ = $229.50 
 
 Page 318. 
 
 114. } 250 at 36 f= 90.00 
 
 82. 94 seats. 
 
 ( Ans. $319.50 
 
 83. 806.505 yards. 
 
 115. $3. 
 
 84. 323.21 acres. 
 
 Page 321. 
 
 85. 2.578 meters. 
 
 116. $295. 
 
 86. $10.33. 
 
 117. $1.25. 
 
 87. 38.25/'. 
 
 118. $8.37. 
 
 88. 7.166... ponnds. 
 
 119. $5.14. 
 
 89. 72 lbs.; 180 lbs.; 3157.2 lbs. 
 
 120. $ 1,619.85. 
 
 90. 253.51... tons. 
 
 121. $35.16. 
 
 gj (1,136.28... lives. 
 ' ( 101,117.43... tons. 
 
 122. $34.83. 
 
 123. $1.14 ; amt. of bill, $8.86. 
 
 92. 1 hour. 
 
 
 93. $3,377.50. 
 
 94. $0.42. 
 
 Page 322. 
 
 124. $2.81. 
 
 125. 8^1 feet. 
 
 Page 319. 
 
 126. $6,970.85 worth. 
 
 95. $28.26. 
 
 127 iH^-¥ = 15,frem. 
 
 I Ans. 15 pairs ; 2J yds. left 
 
 96. $1.75. 
 
 97. $33.21. 
 
 128. 36^. 
 
 98. $3,595.20. 
 
 129. $9.18. 
 
 99. $54.60. 
 
 130. 20 rows. 
 
 100. $5,832. 
 
 131. $1.12^. 
 
 101. $0.08^01 $0,085. 
 
 132. 6^% niiles. 
 
 102. $4.44. 
 
 133. $210. 
 
34 
 
 KEV. 
 
 Ex. Ans. 
 
 
 Ex. Ans. 
 
 134. $ 17. 
 
 
 165. 5,643.5} or 5,643.514... 
 
 135. 11 1 yards. 
 
 
 166. 8.5675. 
 
 136. $69.35. 
 
 
 167. 7.2 hours. 
 
 137. 5,456^1 gallons. 
 
 
 Page 325. 
 
 ^ (2^ X 5) X 2 X 8 = 2.00 
 
 138. } 33 X 3 X 2 = 1.98 
 
 ( Ans. $3.98 
 
 168. 2,262f steps. 
 
 169. 7iilbs. or71bs. 9tVoz. 
 
 170. 48 cups. 
 
 Page 323. 
 
 
 171. 2 reams 12 quires 2 sheets. 
 
 139. 73;^; $1.02. 
 
 
 172. ^Vf ; $0.000625. 
 
 140. 23| miles. 
 
 141. 5f hours. 
 
 142. 36f miles ; 2-^% hours. 
 
 143. lO^Vir- 
 
 144. ^V; $2,333.33... 
 
 145. U^. 
 
 146. 1 If hours. 
 
 
 173. 3bu. Ipk. 2f qt. 
 
 
 174. 45/'. 
 
 
 175. $57,600. 
 
 
 176. 4f qts. or 4.2857... qts. 
 
 177. 4lf qts. or 4.987... qts. 
 
 178. $10.56. 
 
 179. $8.25. 
 
 147. $2'.0473 
 
 
 180. $25 99. 
 
 148. ^\ of a clay. 
 
 149. $4,266.67. 
 
 
 181. $370.80. 
 
 
 182. $4,628.25. 
 
 150. $0.27Jf perdoz.. 
 
 
 183. .198 cu. ft. 
 
 151 jVx¥- = ¥-;¥+'! 
 
 A-a^x^iii = 40. Ans 
 
 = ¥; 
 
 40 ft. 
 
 184. $1.11^. 
 
 185. 3lHiniles. 
 
 186. 2688.403— m.; 3535.997,..! 
 
 Page 324. 
 
 
 187. 180 slats. 
 
 152. $0.04f 
 
 
 
 153. 0.908 quart. 
 
 
 Page 326. 
 
 154. 29.99i. 
 
 
 188. $1,069.20. 
 
 155. $6.21. 
 
 
 189- 56,940 times. 
 
 156. $49.88. 
 
 
 190. 267 d. ; 32 m. 29 d. 
 
 ^gy { 4,201^8^ marks or 
 (4,201.68... marks. 
 
 
 191. 41^^*' or $0.415... 
 
 
 192. $47.42. 
 
 158. $2,807,000. 
 
 
 193. $2.87^. 
 
 159. 4ffbu. or 4.537... bu. 
 
 
 194. !? 19.44. 
 
 160. In 9^ h.or 9 o'clock 20 
 
 min. 
 
 ID."). Siil.L'!). 
 
 161. 0.2151. 
 
 
 19(5. $ 15.40. 
 
 162. iLiJLJiL^y<_liiii = 700,7 
 
 Ans. 
 
 197. $17.37. 
 
 163. Boy 1.1 Of oz.; man 2. 
 
 21foz. 
 
 19S. .^^:»:).i t ; .9 001.18. 
 
 164. 7ijor0.013^V 
 
 
 199. (J ncku'k 1 m. j s. p. M. 
 
 .m. 
 
KEY. 
 
 35 
 
 202. 
 
 207. 
 208. 
 
 209. 
 210. 
 
 Ex. ^ris. 
 
 200. 10 o'clock 55 m. 37| s. p. m. 
 
 201. 4 o'clock 19 m. 31 1 s. P. M. 
 3 o'clock 47 m. 36-|- s. a. m- 
 of the next day. 
 
 203. 47° 18' 30" W. 
 
 204. 79° 30' W. 
 
 Page 327. 
 
 205. 11 T. 5001b. 
 
 206. 96^%5j>_8^\ l3^^. or 96.427 . . . bu. 
 lffti^ft.orl.555...ft. 
 2,430 bricks. 
 
 ri94,444A sq.ft.; 4||ff A. 
 ( or 4.4638... A. 
 159f sq. ft. 
 
 211. $5.28. 
 
 212. 2,160 bricks. 
 
 213. 4,176 tiles. 
 
 214. 15,052 sq.ft. 
 
 215. 12^Y5\ ^' or 12.306... A. 
 
 216. 1 h. 29f m. 
 
 217. 2f tons. 
 
 218. l,808^Wtl.orl, 808.449... cd. 
 
 Page 328. 
 
 219. 90|feet. 
 
 220. 321^ yards. 
 
 221. 66,000 tons. 
 
 222. 4\l miles, or 4 m. 220 rd. 
 
 223. 18|f ft. 
 
 224. $5.38. 
 
 225. $114.94. 
 
 226. 12^Vo>^- 
 
 227. 3364fgal.; IiWt qt. 
 
 228. $1,356. 
 
 229. 5,041 1 cu. yds. 
 
 230. 487yVlb3. 
 
 231. 64f lbs. 
 
 
 Page 329. 
 
 Ex. 
 
 Ans. 
 
 232. 
 
 70,000 times. 
 
 233. 
 
 a 1,680. 
 
 234. 
 
 166f minutes. 
 
 235. 
 
 3.6 ^■"• 
 
 236. 
 
 240,000 ••; 240,000 K- 
 
 237. 
 
 7,920,000 trees. 
 
 238. 
 
 7lf ""-or 71.428... <^«>- 
 
 239. 
 
 $7,500. 
 
 240. 
 
 17,500 sq. :n. 
 
 241. 
 
 10,000 S' 
 
 242. 
 
 3.4335 K- 
 
 243. 
 
 8.736^- 
 
 244. 
 
 4.502^ metric tons. 
 
 245. 
 
 0.41896 ^■ 
 
 246. 
 
 52.5^^ ; $183.75. 
 
 247. 
 
 39.67875 lb. 
 
 248. 
 
 99.4192 miles. 
 
 
 Page 330. 
 
 249. 
 
 $299. 
 
 250. 
 
 30.06%. 
 
 251. 
 
 44|%. 
 
 252. 
 
 3i%. 
 
 253. 
 
 $72,000. 
 
 254. 
 
 258.72 lbs. 
 
 255. 
 
 151|| lbs. 
 
 256. 
 
 2|M%- 
 
 257. 
 
 A 76 % ; B 19 %. 
 
 258. 
 
 811H%- 
 
 259. 
 
 10 ^ 
 
 260. 
 
 $17,203 20. 
 
 .261. 
 
 5,110 lbs. 
 
 262. 
 
 $733.17. 
 
 263. 
 
 2,300 laths. 
 
 
 Page 331. 
 
 264. 
 
 50 j^. 
 
 265. 
 
 $76. 
 
36 
 
 KEY. 
 
 Ex. 
 
 266. 
 
 267. 
 
 268. 
 
 270. 
 
 271. 
 272. 
 
 273. 
 
 274. 
 275. 
 276. 
 
 277. 
 
 278. 
 279. 
 
 280. 
 
 281. 
 
 282. 
 283. 
 284, 
 285. 
 
 287. 
 288. 
 
 Ana, 
 
 75/. 
 8150. 
 
 $ 260,024.50. 
 
 8 53.90 com. ; % 926.10 net. 
 ril2 >i 17= 1,906.12^ 
 137} X 10 = 1,372.50 
 24| X 23 = 554.87 J 
 5 = 622.50 
 12 = 357.00 
 
 124 X 
 29f X 
 
 % of $4,8 13.00 = 
 
 $12.03, Ans. 
 $19.80. 
 
 ( laM^xjLoii == 1 1^250. 
 ( Ans. $ 1,250. 
 
 (iii.iLi^x^^x_L(i^ ^2,000. 
 \ Ans. $2,000. 
 
 ^^T¥F^ = 98. Loss 2%. 
 
 i%. 
 $9,333.33... 
 
 Page 332. 
 
 $32.81. 
 
 ( M^Q. + 32.81 = 907.81. 
 
 \ Ans. $907.81. 
 
 I iiii|JLa -32.81 = 2,592.19. 
 
 ( Ans. $2,592.19. 
 
 [ 1 - O.OOf = 0.99375. 
 
 \ 1800 -j-0.99375 = 181 1.32... 
 
 ( Ans. $1,811^2. 
 
 $5,984.38. 
 
 3/-; $135. 
 
 $45.99. 
 
 2,600 fr. 
 
 < Cost, $10,158.75; 
 
 ($ 100.91}; $194.06f 
 
 $ 309.50. 
 
 $856.42. 
 
 Ex. Ana. 
 
 289. $0.00000024f. 
 
 290. $ 866.88 ; $'l,542.29. 
 
 291. $69.53. 
 
 292. 
 
 293. 
 
 294. 
 
 Page 333. 
 
 By exact days, $35.51 
 
 By common method, .35.25 
 Ans. $0.26 
 48 - 31.20 =• 16.80 saved. 
 iffO = 0.56. Ans. 56 %. 
 
 Prin. . 8475.00 from May 4, 1879, 
 lut. . 5.36 to July 2, 1879. 
 
 Amt. . 480.30 (T. 1 m. 28 d.) 
 Payt. . 100.00 
 
 2d prin. 380.36 from July 2, 1879, 
 Int . 6.58 to Oct. 1,1879, 
 
 Amt. . 386.94 
 Piiyt. . 100.00 
 
 (T. 2 m. 29 d.) 
 
 3d prhi. 286.94 from Oct. 1,1879, 
 Int. . 10.04 to Apr. 1, 1880. 
 
 295. 
 296. 
 
 297. 
 
 298. 
 299. 
 300. 
 301. 
 
 302. 
 
 303. 
 304. 
 305. 
 
 Ans. * 296.98. 
 
 Jan. 22, 1881. 
 
 i5o^x_A ^ 13 J. Ans. 13 y. 4m. 
 fl JLii^-x_iJi = 0.0645. 
 
 Ans. 6^«5%. 
 $403.23. 
 
 9^1.12 = 8.04. Ans. $8.04. 
 $4,347.00. 
 $ 392.65. 
 
 ($l-$0.0180f =$0.9819}. 
 ) $400^ 0.9819} =407.37. 
 ( Ans. $407.37. 
 
 $117.67. 
 July 9. 
 4 m. 10 d. 
 
 Page 331 
 
 306. Nov. 15. 
 
 307. June 3. 
 
KEY. 
 
 37 
 
 Ex. 
 
 308. 
 
 Ans. 
 Dr. 
 
 Prin. Int. 
 
 $476.93 $14,467 
 869.82 23.050 
 
 Amount .11,384.27 
 
 Cp. 
 
 $389.51 $10,192 
 379.84 8.610 
 
 Amount 788.15 
 
 309. 
 310. 
 
 311. 
 312. 
 
 313. 
 
 314. 
 315. 
 316. 
 317. 
 
 318. 
 319. 
 320. 
 
 321. 
 
 322. 
 
 32.3. 
 324. 
 325. 
 326. 
 327. 
 328. 
 
 Ans. $596.12 
 i0 4s. 1.317— d. 
 5fr. 18.135 — centimes. 
 ( 25 fr, 21.503— centimes ; 
 ( 9.518... d. or 9d. 2... far. 
 ( 15 s. 10.325... d. or 
 i 15 s. 10 d. l...far. 
 { 235,294i\ fr. or 
 C 235294.1 18- fr.; $15411.76 
 $7.06. 
 $7,299.75. 
 $41.69. 
 $699.20... 
 
 Page 335. 
 
 $3,397.26. 
 
 $727.27... 
 
 $32,137.50. 
 
 5 -^-^--\|-i^ = 126^V 
 
 1 Ans. $126^^ or $126.3111 
 
 ( The latter ; 
 
 < The 7 per cents yield 6-i^j % ; 
 
 ( The 6 per cents yield 6:f6_ ^^. 
 
 6%. 
 98 men. 
 43| doz. 
 $13.01. 
 $525.39. 
 67 ft. 2i| in. 
 
 Ex. A ns. 
 
 329. 5o.o^6_x_.3jLa ^ 450. 
 
 330. 26 miles. 
 
 331. 5 oz. 
 
 332. $24. 
 
 $450. 
 
 333. 
 334. 
 335. 
 336. 
 337. 
 
 338. 
 
 339. 
 
 340. 
 
 341. 
 342. 
 343. 
 
 Page 336. 
 
 3^1^ d. or 3d. Oh. 3f m. 
 
 75fyds. 
 
 34f days. 
 
 5,880 lbs. or 2 T. 1,880 lbs. 
 
 $329.18. 
 
 A. $14.25; B. $7.50; 
 
 C. $5.25; D. $7.50. 
 $8,445.95; $4,054.05. 
 \ Their shares are as 2,l,and 6. 
 "l A.$432; B.$216;C.$1296. 
 
 1st half $1,627.50 each; 
 
 2d half $ 813.75 each. 
 $1,192.22. 
 j T. $ 2,659.04 ; 
 i V. $ 2,905.96. 
 
 Page 337. 
 
 344. 361. 
 
 345. 3.61. 
 
 346. 0.0361. 
 
 347. 6.275025. 
 
 348. 1.012048064. 
 
 349. 0.00000081. 
 
 350. 4|f. 
 
 351. 301. 
 
 352. 272^. 
 
 353. ^V^. 
 
 354. mf 
 
 .355. 1.21550625. 
 .356. 79. 
 .357. 97. 
 
 358. 40.410... 
 
 359. 140. 
 
 360. 44.2718... 
 
38 
 
 KEY. 
 
 Ex. 
 
 Ans, 
 
 
 Ex. Ana. 
 
 361. 800.562... 
 
 
 392. 1.040... 
 
 362. 6.634. 
 
 
 393. 8.005... miles. 
 
 363. 0.075... 
 
 
 394. 342 ft. 3... in. 
 
 364. 607.5. 
 
 
 
 
 V/6075 = 
 
 77.942... 
 
 Page 338. 
 
 
 ^41616 = 
 
 :204 
 
 395. 37.8^'"- 
 
 396. 4.3.634... sq.ft. 
 
 365. . 
 
 
 281.942... 
 •218.382... 
 
 
 
 397. The first by 7.249... sq. ft. 
 
 398. 2.211... yards. 
 
 
 V/6075 + 41616 = 
 
 
 Ans. 63.560... 
 
 399. 100 feet. 
 
 366. ^. 
 
 
 400. 50 ars. 
 
 367. 3.023... 
 
 
 401. 8.49 acres. 
 
 368. 4^. 
 
 
 402. 90 feet. 
 
 369. 4- 
 
 
 403. 102.87 acres. 
 
 370. f 
 
 
 / Area of 
 
 371. 10.025... 
 
 
 \ 1st triangle, 101.1074... A. 
 
 372. H. 
 
 
 ^^^- pd triangle, 57.6152... A. 
 
 373. ^\. 
 
 ^ Ans. 158.7226... A. 
 
 374. 5.039... 
 
 
 405. 62.832 feet. 
 
 375. 0.379... 
 
 
 406. 11.459... feet. 
 
 376. |. 
 
 
 407. 63.617... sq. yd. 
 
 377. 2^. 
 
 
 
 378. 3^ feet. 
 
 
 Page 339. 
 
 g^g 5 120 slates in len 
 c 60 slates in wid 
 
 \ 70 trees in widt 
 
 gth; 
 
 408. 155.330... rods. 
 
 th. 
 
 .'th; 
 h. 
 
 
 409. ^,-^S'i'It^ = 25.4647... 
 
 / Ans. 25.4647... sq.ft. 
 
 381. 34. 
 
 
 ^ 
 
 382. 4.7. 
 
 
 ( R2 = 4^1 = 800. 
 410. ^800 X 3.1416 = 2513.28. 
 I 2,513.28sq.ch.or251.328A. 
 
 383. 0.07547... 
 
 
 .384. 16.01... 
 
 
 385. 4.3. 
 
 
 411. 24 sq. ft. 
 
 386. 1.308... 
 
 
 412. 52 sq. ft. 
 
 387. 0.6463... 
 
 
 413. 62^ sq. ft. 
 
 388. 1.856... 
 
 
 414 5 ('^ ^ ^ + ^ ^ ^) "^ ~ surface in 
 * (inches. Ans.2sci.ft.96sq.in. 
 
 389. 0.9283... 
 
 
 390. 2i. 
 
 
 415. 260 sq. ft. 
 
 391. 
 
 0.4261... 
 
 
 416. 400 cu. ft. 
 
KEY. 
 
 39 
 
 Ex. Ans. 
 
 ( 123: 103 = 400:231.481 + 
 417. } 400 - 231.48] = 168.519— 
 
 ^ Ans. 168.519— cu. ft. 
 
 Note. Ex. 417 may be solved without 
 using the answei* to the 416th, thus : 
 122 : 102 = 102 : 69|, area of upper base. 
 Vo9J X 100 = 83^, mean of bases. 
 
 5(i^tl|^+J|^^)x5 = 
 
 (.20.555... Ans. 20.555— cu. ft. 
 
 2.2619... ^q-" 
 
 5 [Slant height, 1.044..."^] 
 
 (0.9839... sq"^ 
 
 615.7536 sq. in. 
 
 [Height 16f ft.] 2727.08^cu.ft. 
 
 5 [Slant height 19.1049... ft.] 
 
 1.840.279... sq.ft. 
 
 1,767.15 cu. in. 
 
 418. 
 
 419. 
 
 420. 
 
 421. 
 422. 
 
 423. 
 424. 
 
 Page 340. 
 
 425. 23^ yds. 
 
 426. 25 yds.; $31.25. 
 
 427. 39 yds ; $ 87.75. 
 
 428. $50.25. 
 
 429. 228 sq.ft. 
 
 430. 118 sq.ft. 
 
 Page 341. 
 
 431. 27 sq. ft. 
 
 432. 335 sq.ft. 
 
 433. $ 15.94. 
 I + 1^-^ 
 
 ¥-xV- -■= 5.91 
 
 434. \ 5 % off = 0.30 
 
 5.61 
 Ans. 15.61. 
 
 435. 42.566. . . .sq. ft. 13 people. 
 
 436. 3 yds. 3 in. 
 
 3tl-3-X^ = 6| 
 
 Ex. 
 
 437. 
 
 438. 
 
 439. 
 
 Ans. 
 
 ' The number of sq. ft. in 
 concrete Avalk equals the 
 length of the diagonal 
 X 10, less 4 half-squares 
 each of which =^-|-5-s(j. ft. 
 V/l60x2x272| = 2951.6 
 (2951.6 X 10- 50) X 0.08 = 
 232.128. Ans. 1232.13. 
 (2f + 3^)-^2 = av.length. 
 Ans. $ 10.94. 
 2| - I = length of shorter side. 
 Ans. $4.55. 
 
 1/ 
 
 440. 2f bii. 
 
 441. I v/^ii%o^o.o_x_a = 201.801 .. . 
 ^ Ans. 201.801... ft. 
 
 442. 14,453,333^ «'• 
 
 Page 342. 
 
 443. 438.4 times. 
 
 C Burt's 2,192.18 revolutions 
 
 444. } John's 1,867.41 revolutions 
 
 f Ans. 324.8 — more rev. 
 
 445. 
 446. 
 
 nh'o'S^'j'dh = 756.2. 
 Ans. 756.2 revolutions. 
 1,008.4... revolutions. 
 Query for pupil. How can 
 the 446th be solved by 
 using the answer to the 
 445th? 
 
 The work of this can l)e 
 considerably shortened by 
 cancelling, thus : 
 
 447. 
 
 S/: 
 
 A 
 3.1416 
 
 3.1416 = 
 
 ^/ 
 
 A X 3.14162 X 4 
 
 Ans. $443.11. 
 
40 
 
 KEY. 
 
 Ex. 
 
 Ans. 
 
 
 448. $500. 
 
 
 449. 42.41... cu. in. 
 
 
 450. 214.86... bbls. 
 
 
 451. •! 
 
 (30*-^ + 352 + 30 X 35) X 3.1416 x 6 x 1000 
 
 
 1 00 401 rt HL 
 
 3 X 100 
 
 — iyy,4yi.D™* 
 
 ( 
 
 40008 X 3.1416 x 4 x 52808 
 
 X 125 X 5.6 
 
 ■117 ^'V, 4. 
 
 452. \ 
 
 3 X 2 X 2000 
 
   — Weignt. 
 
 ( 
 
 Ans. 6,905,727,150,981,120,000,000 tons. 
 
 453. 1 
 
 162 : 4« : = 96 : 6. 
 
 Ans. 6 hours. 
 
 Page 344. 
 
 454.   
 
 958: 508= 245: 35.719... 
 
 468. $74.69. 
 
 Ans. 35.719... tons. 
 
 469. 0.96 in. 
 
 455. • 
 
 1 : 125 = 30^ : the cube of 
 
 470. $27.70. 
 
 the height. Ans. 150 ft. 
 
 471. $2,080. 
 
 ( 
 
 '4.858:303 = 85: weight in 
 
 472. $0.57^. 
 
 456. < 
 
 lbs.. j 10.058... T., or 
 - ^'''•h0T.ll6:7...1b. 
 
 473. 140,625 lbs. or 70 T. 625 lbs. 
 
 ( 
 
 474. $0.10. 
 
 
 
 475. $130.44... 
 
 
 Page 343. 
 
 476. Loss, 130; $3,833.33. 
 
 457. $100. 
 
 
 458. 20,000,000,000 matches. 
 
 Page 345. 
 
 459. $0,114. 
 
 /Cost, $28,800; proceeds, 
 
 460. $915.56. 
 
 477. } $102,105. 
 
 461. $39,060. 
 
 ( Ans. $73,305 left. 
 
 462. 58^1^%. 
 
 478. 57fH-%. 
 
 463. i 
 
 K) pages. 
 
 { COOdOOOO X 36 X 36 X 36 432 
 
 464. ^ 
 
 479. s 1375000 X IGOX 2724x12x12 ^1331 
 
 ( Ans. ^^^in. or 0.324... in. 
 
 1 
 
 110% X 100x100 ,„,,„^ 
 
 97ix9o -125m 
 
 465. < 
 
 480. 1356^^6^ .yr.or 1356.639. . .yr. 
 
 
 Ans. 25^%. 
 
 481 ( 79,129|||f yrs. or 
 ' 179,129.591... yrs. 
 
 466. 66flbs.; 26f lbs. ; 206|lbs. 
 
 467. 8 feet. 
 
 482. $11.18. 
 
 
 Due. 
 
 Days. Discount. Proceeds. 
 
 
 $500 Nov. 17/20, 
 
 159 $12,146 $487,854 
 
 
 750 Aug. 23/26, 
 
 73 8.365 741.635 
 
 483. ^ 
 
 254 Sept. 30/oct. 3, 
 
 111 4.307 249.693 
 
 
 435 Aug. 6/9, 
 
 56 3.722 431.278 
 
 
 1,910.460 
 
 
 ^ 
 
 Ans. $1,910.46. 
 
KEF. 
 
 41 
 
 Ex. 
 484. 
 
 485. 
 486. 
 487. 
 488. 
 
 489. 
 
 490. J 
 
 Page 346. Ex. 
 
 Ans. 
 
 5 oz. 18 pwt. 18 gr. 
 
 13pvvt. ie^gr.; U^\\\ %. 499. 
 
 $ 38,000. 
 
 1,544,400 lb. or 772 T. 4001b. 
 
 $4.69. 
 
 C 0.000375 X 7 X 24 X 60 
 
 C 3.78 mill, or 3 min. 46.8 sec. 
 
 r Due. Item. Days. Int. 
 
 May 28, $100 $0.00 
 
 Julys, 250 36 3.00 
 
 Aug. 31, 150 95 4.75 
 
 Sept. 26, 200 121 8.06§ 
 
 Nov. 30, 400 186 24. 80 
 
 491. 
 
 492. 
 
 493. 
 
 494. 
 
 495. 
 
 496. 
 
 497. 
 498. 
 
 3) 1.100 (0 36S ) 40.61g 
 
 110.7 
 
 May 28 + 111 days - Sept. 16. 
 
 Axis. Sept. 16, 1879. 
 
 ^[Amt. of $1200 for4yrs. 
 
 Hl488.] Ans. The latter, 
 
 ( $12 more. 
 
 5 $800 + $144 + int. of $48 
 i for 3 yrs. = $952.64, Ans. 
 r Amt.of$ 1500 for 5y. = 5850 
 ) 9000 - 5850 = 3150. 
 
 / ¥500 - ^'t^' 
 
 ^ Ans. $3,150; 70%. 
 
 f lOOff XT.T¥ = 2-^^ — 
 
 l Ans. 3.55 — cu. in. 
 
 fHflo"^-VF = 34.56. 
 
 f R^ X 3.1416 = 34.56. 
 • R^=iii!M= 8.250572956. 
 
 R = 2.020... 
 [ Ans. 4.04... in. 
 
 C272: 812 = I . 9 
 I Ans. 9 times. 
 
 1,967 years. 
 
 130.923... feet. 
 
 M.71S. 
 
 Page 347. 
 23 X 23 X 3.1416 X 121 
 
 3.1416 X 2 X 3.1416 x 2 x 3 x 12S 
 
 13.264... cords. 
 
 500. 
 
 The 1st payt. was on int. 13y. 6m 6(1. 
 Theilth" " " 3y.6in.6d. 
 Entire time ."$121.30 was 
 
 on interest, 93 y. 8 m. 6 d. 
 
 Int.of $121 30 for 93y.8m.6d. $681 S3 
 
 $121.30 X 11 = 1334.30 
 
 501. 
 
 502. 
 
 503. 
 504. 
 
 505. 
 
 506. 
 
 507. 
 
 508. 
 
 509. 
 510. 
 
 #2016.13 
 2016.13 - 162.12 = 1854.01. 
 
 Ans. $1,854.01. 
 220 •" = 240.592 yds. 
 Costofclotb $668.75 + 36.09 
 
 = $ 704.84. 
 1082.66 - 704.84 = 377.82. 
 Ans. $377.82. 
 i In wall, 1117.013... sq. yds. 
 ) In roof, 3686.877. . . sq. yds. 
 I Ans. 4,803.89... sq. yds. 
 112cu.ft. 
 33.941... miles. 
 ''25.325 +-4.85 = 5.22lf. 
 5.22if - 5.17 = 0.05^. 
 Ans. Through London, by 
 0.05^ fr. on a dollar. 
 
 (. Gain, J^, or 63t\ %. 
 j $7 ; $8.75 ; would be raised 
 I to $ 9.03i. 
 14 y. 6^"^^ mo. 
 
 180 X 37 
 
 100 
 J (92 - 32) X 100 
 
 + 32 = 98.6. 
 
 180 
 
 33i 
 
 Ans. 98.6° F. ; 33^° C. 
 $1,220.81. 
 
42 
 
 KEY. 
 
 611. 
 
 512. 
 
 Atis. 
 
 'A's j)liirality over C = 1125. 
 B's plurality over C = 512. 
 4214 = 3 times C's number 
 
 + 512 + 1125. 
 LAns. A1984; B 1371; C 859. 
 
 158400 X 1000 X 10 
 
 = 190270.27 
 
 925 X 9 
 
 Ans. $ 190,270.27. 
 
 513. I 
 
 X 150 X 100 X 
 100 X 95 X 2 
 
 = 90. 
 Alls. $0.90. 
 
 514 
 
 ( 7.65 X 88 
 . I 100 X 
 
 Ans. 
 88 X 100 
 
 120 
 
 = 5.61. 
 Ans. $5.61. 
 
 515. 12.961... ft. 
 
 517. 
 
 C v /32.52 - 302 ^ 12.5. 
 516. } ^32.52 - ji6i = 19.5. 
 
 I Ans. 32 it. 
 
 ^IstAns. 55TiefT^; 
 
 or $ 0.5506... on $1. 
 0.706. .. 
 V. 2a Ans. $0.155... more. 
 518. 13 more men. 
 
ANSWERS. 
 
 43 
 
 ANSWERS TO DEILL EXERCISES. 
 
 1 
 
 2 
 
 8,478 
 
 8,687 
 
 3,811 
 
 4,390 
 
 5,674 
 
 6,364 
 
 2,591 
 
 2,678 
 
 8,985 
 
 9,373 
 
 8,463 
 
 9,325 
 
 5,514 
 
 6,157 
 
 7,016 
 
 7,404 
 
 2,930 
 
 3,420 
 
 9,595 
 
 10,333 
 
 2,337 
 
 2,522 
 
 Q>,Q>2(y 
 
 7,252 
 
 5,605 
 
 6,067 
 
 9,556 
 
 10,200 
 
 5,087 
 
 5,709 
 
 3,309 
 
 4,250 
 
 6,221 
 
 6,979 
 
 2,105 
 
 2,404 
 
 10,611 
 
 10,712 
 
 5,650 
 
 6,377 
 
 8,182 
 
 8,609 
 
 2,838 
 
 3,090 
 
 4,6G3 
 
 5,037 
 
 6,926 
 
 7,211 
 
 9,021 
 
 9,918 
 
 VLBERS (page 59). 
 
 
 3 
 
 4 
 
 5 
 
 51,952 
 
 24,794 
 
 113,839 
 
 91,048 
 
 20,466 
 
 153,147 
 
 35,090 
 
 22,485 
 
 96,700 
 
 76,462 
 
 18,766 
 
 138,778 
 
 27,025 
 
 25,513 
 
 89,258 
 
 94,736 
 
 25,423 
 
 156,578 
 
 63,264 
 
 22,231 
 
 125,312 
 
 49,803 
 
 23,494 
 
 111,566 
 
 39,803 
 
 19,549 
 
 101,925 
 
 85,078 
 
 26,451 
 
 147,052 
 
 101,898 
 
 18,618 
 
 163,525 
 
 23,474 
 
 23,389 
 
 85,230 
 
 69,419 
 
 22,171 
 
 131,611 
 
 92,084 
 
 26,313 
 
 153,885 
 
 50,921 
 
 21,774 
 
 113,090 
 
 77,626 
 
 20,329 
 
 139,262 
 
 66,308 
 
 23,114 
 
 128,321 
 
 31,443 
 
 18,474 
 
 93,190 
 
 50,642 
 
 26,816 
 
 113,090 
 
 34,977 
 
 22,476 
 
 96,837 
 
 104,072 
 
 24,740 
 
 166,038 
 
 84,335 
 
 19,177 
 
 145,893 
 
 56,407 
 
 21,171 
 
 118,650 
 
 31,054 
 
 23,317 
 
 93,084 
 
 94,856 
 
 25,985 
 
 157,173 
 
44 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS (page 59). 
 
 6 
 
 7 
 
 8 
 
 9 
 
 10 
 
 75,985 
 
 378 
 
 621 
 
 946 
 
 3,538 
 
 115,262 
 
 3,737 
 
 6,144 
 
 8,814 
 
 14,728 
 
 58,860 
 
 2,887 
 
 5,292 
 
 6,508 
 
 10,528 
 
 100,905 
 
 3,193 
 
 5,695 
 
 8,559 
 
 14,212 
 
 51,437 
 
 4,401 
 
 6,123 
 
 7,563 
 
 11,824 
 
 118,715 
 
 303 
 
 488 
 
 770 
 
 1,282 
 
 87,425 
 
 3,832 
 
 5,151 
 
 7,427 
 
 11,213 
 
 73,695 
 
 355 
 
 646 
 
 918 
 
 1,590 
 
 64,093 
 
 4,228 
 
 6,C08 
 
 9,497 
 
 15,062 
 
 109,209 
 
 1,363 
 
 3,006 
 
 4,585 
 
 9,307 
 
 125,660 
 
 3,977 
 
 6,169 
 
 9,462 
 
 16,076 
 
 47,406 
 
 2,751 
 
 4,431 
 
 5,814 
 
 9,910 
 
 93,774 
 
 2,900 
 
 5,907 
 
 8,677 
 
 13,118 
 
 116,037 
 
 2,924 
 
 4,958 
 
 7,133 
 
 12,343 
 
 75,194 
 
 331 
 
 550 
 
 841 
 
 1,560 
 
 101,380 
 
 3,164 
 
 6,104 
 
 9,209 
 
 15,449 
 
 90,495 
 
 2,503 
 
 4,511 
 
 7,764 
 
 12,882 
 
 55,299 
 
 
 
 
 
 75,079 
 
 
 
 
 
 58,975 
 
 
 
 
 
 128,208 
 
 
 
 
 
 108,019 
 
 
 
 
 
 80,823 
 
 
 
 
 
 55,229 
 
 
 
 
 
 119,279 
 
 
 
 
 

 ANSWERS. 
 
 
 SIMPLE NUMBERS (page 59). 
 
 12 
 
 13 
 
 14 
 
 16 
 
 2,591 
 
 38,047 
 
 5,036 
 
 33,011 
 
 3,129 
 
 79,898 
 
 689 
 
 80,587 
 
 7,835 
 
 11,753 
 
 3,244 
 
 14,997 
 
 6,688 
 
 61,083 
 
 5,217 
 
 66,300 
 
 4,444 
 
 8,650 
 
 3,099 
 
 5,551 
 
 4,521 
 
 75,000 
 
 2,501 
 
 72,499 
 
 6,433 
 
 43,564 
 
 2,299 
 
 45,863 
 
 4,147 
 
 33,621 
 
 1,997 
 
 31,624 
 
 7,480 
 
 ' 21,016 
 
 5,961 
 
 26,977 
 
 6,160 
 
 61,396 
 
 1,946 
 
 59,450 
 
 8,868 
 
 81,414 
 
 7,076 
 
 88,490 
 
 859 
 
 13,443 
 
 4,570 
 
 8,873 
 
 6,818 
 
 49,445 
 
 2,656 
 
 52,101 
 
 1,400 
 
 78,080 
 
 6,944 
 
 71,136 
 
 3,631 
 
 37,454 
 
 6 
 
 37,460 
 
 5,605 
 
 60,471 
 
 3,572 
 
 64,043 
 
 2,090 
 
 54,085 
 
 2,549 
 
 51,536 
 
 8,397 
 
 11,963 
 
 7,019 
 
 18,982 
 
 6,076 
 
 28,371 
 
 3,391 
 
 24,980 
 
 3,253 
 
 21,011 
 
 1,071 
 
 19,940 
 
 4,966 
 
 85,090 
 
 2,020 
 
 83,070 
 
 9,075 
 
 62,684 
 
 6,762 
 
 69,446 
 
 5,582 
 
 40,142 
 
 2,345 
 
 42,487 
 
 3,310 
 
 17,180 
 
 2,548 
 
 14,632 
 
 3,254 
 
 77,528 
 
 3,878 
 
 73,650 
 
 45 
 
46- 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS 
 
 19 
 
 25,785 
 
 33,678 
 77,436 
 61,389 
 44,370 
 48,951 
 63,972 
 41,247 
 72,513 
 62,766 
 81,963 
 14,220 
 66,258 
 19,035 
 38,484 
 59,247 
 26,469 
 78,516 
 56,151 
 36,333 
 49,338 
 
 84,348 
 54,432 
 32,931 
 37,584 
 
 17 
 
 18 
 
 55,307 
 
 2,192 
 
 21,371 
 
 4,904 
 
 37,520 
 
 6,152 
 
 11,228 
 
 1,064 
 
 56,203 
 
 3,888 
 
 55,580 
 
 7,344 
 
 33,663 
 
 5,400 
 
 46,060 
 
 3,488 
 
 14,672 
 
 4,616 
 
 62,440 
 
 6,512 
 
 14,217 
 
 1,912 
 
 43,050 
 
 5,768 
 
 32,942 
 
 4,352 
 
 63,413 
 
 5,720 
 
 29,890 
 
 5,160 
 
 21,077 
 
 7,824 
 
 38,430 
 
 6,808 
 
 11,935 
 
 2,616 
 
 67,410 
 
 1,304 
 
 35,756 
 
 6,272 
 
 52,514 
 
 4,128 
 
 18,270 
 
 2,376 
 
 25,921 
 
 3,728 
 
 43,449 
 
 2,792 
 
 56,378 
 
 7,376 
 
 (page 59). 
 
 20 
 
 33,280 
 
 24,616 
 18,565 
 43,286 
 84,084 
 26,152 
 21,536 
 18,624 
 64,989 
 45,524 
 13,608 
 36,195 
 66,994 
 30,246 
 18,262 
 
 9,657 
 59,334 
 10,416 
 56,978 
 27,645 
 52,599 
 
 8,235 
 79,856 
 41,920 
 23,550 
 
 21 
 4,045,312 
 
 2,210,372 
 
 1,259,600 
 
 1,509,364 
 
 6,888,882 
 
 3,707,980 
 
 3,236,457 
 
 2,553,040 
 
 1,565,712 
 
 5,343,080 
 
 511,812 
 2,343,150 
 3,844,802 
 3,859,134 
 3,390,380 
 
 785,871 
 3,502,620 
 
 634,260 
 8,849,970 
 2,477,380 
 4,433,682 
 
 477,630 
 3,214,204 
 4,065,585 
 7,586,868 
 

 SIMPLE NUMBERS (page 59). 
 
 
 jcaniples. 
 
 22 
 
 23 
 
 24 
 
 25 
 
 1. 
 
 2,164,874 
 
 785,010 
 
 11,209,888 
 
 323,245,712 
 
 2. 
 
 1,871,489 
 
 2,293,846 
 
 51,271,320 
 
 255,352,920 
 
 3. 
 
 4,121,840 
 
 6,616,476 
 
 15,654,533 
 
 109,113,520 
 
 4. 
 
 213,332 
 
 907,193 
 
 9,031,232 
 
 108,918,016 
 
 5. 
 
 3,902,094 
 
 2,395,980 
 
 6,599,880 
 
 109,033,820 
 
 6. 
 
 7,288,920 
 
 4,993,002 
 
 73,843,002 
 
 638,685,660 
 
 7. 
 
 3,246,075 
 
 4,797,900 
 
 34,203,600 
 
 243,681,648 
 
 8. 
 
 2,868,880 
 
 1,998,188 
 
 16,656,944 
 
 251,382,320 
 
 9. 
 
 1,209,392 
 
 4,648,889 
 
 16,775,121 
 
 60,937,008 
 
 10. 
 
 7,260,880 
 
 5,676,836 
 
 55,653,180 
 
 609,860,400 
 
 11. 
 
 485,409 
 
 2,176,573 
 
 21,634,519 
 
 183,848,151 
 
 12. 
 
 4,434,150 
 
 1,139,180 
 
 10,831,583 
 
 92,391,450 
 
 13. 
 
 2,560,064 
 
 4,004,928 
 
 30,903,008 
 
 267,333,742 
 
 14. 
 
 6,477,185 
 
 1,512,225 
 
 57,339,425 
 
 726,486,505 
 
 15. 
 
 2,754,150 
 
 2,758,020 
 
 26,915,850 
 
 178,187,100 
 
 16. 
 
 2,944,758 
 
 6,438,174 
 
 65,578,812 
 
 201,899,594 
 
 17. 
 
 4,671,990 
 
 2,502,791 
 
 48,529,126 
 
 313,072,740 
 
 18. 
 
 557,535 
 
 2,852,748 
 
 6,764,649 
 
 35,271,335 
 
 10. 
 
 1,569,690 
 
 1,016,957 
 
 5,641,430 
 
 333,294,300 
 
 20. 
 
 4,004,672 
 
 3,165,008 
 
 19,637,632 
 
 127,945,184 
 
 21. 
 
 3,871,032 
 
 2,828,712 
 
 46,735,152 
 
 679,471,144 
 
 22. 
 
 775,170 
 
 2,783,484 
 
 21,400,632 
 
 188,066,160 
 
 23. 
 
 1,725,598 
 
 2,818,368 
 
 21,524,540 
 
 171,041,570 
 
 24. 
 
 2,166,243 
 
 1,276,991 
 
 7,272,811 
 
 129,347,673 
 
 25. 
 
 7,425,788 
 
 3,850,272 
 
 75,331,088 
 
 658,044,016 
 
43 
 
 DRILL EXERCISES. 
 
 
 SIMPLE 
 
 NUMBERS (page 59). 
 
 26 
 
 27 
 
 28 
 
 29 
 
 30 
 
 7,324 
 
 11,004 
 
 3,891 
 
 233,636 
 
 72,244 
 
 2,295 
 
 6,906 
 
 8,527 
 
 530,586 
 
 52,545 
 
 5,046 
 
 14,498 
 
 6,709 
 
 750,181 
 
 106,375 
 
 G17 
 
 9,233 
 
 9,759 
 
 65,362 
 
 65,123 
 
 7,073 
 
 13,331 
 
 3,417 
 
 473,392 
 
 91,016 
 
 7,417 
 
 13,830 
 
 3,897 
 
 839,397 
 
 97,578 
 
 4,104 
 
 11,919 
 
 6,822 
 
 625,678 
 
 90,443 
 
 6,144 
 
 11,211 
 
 5,336 
 
 398,668 
 
 79,196 
 
 1,262 
 
 10,323 
 
 9,461 
 
 549,081 
 
 81,071 
 
 8,245 
 
 16,109 
 
 2,785 
 
 747,258 
 
 115,010 
 
 1,725 
 
 11,151 
 
 10,021 
 
 148,957 
 
 86,715 
 
 5,674 
 
 8,070 
 
 5,773 
 
 707,419 
 
 54,587 
 
 3,807 
 
 12,341 
 
 6,781 
 
 488,281 
 
 90,940 
 
 8,562 
 
 11,463 
 
 2,819 
 
 636,235 
 
 76,279 
 
 3,453 
 
 8,695 
 
 7,240 
 
 604,560 
 
 64,343 
 
 2,713 
 
 10,311 
 
 9,032 
 
 912,902 
 
 77,576 
 
 4,759 
 
 8,644 
 
 6,176 
 
 795,676 
 
 62,425 
 
 1,305 
 
 10,474 
 
 10,227 
 
 306,967 
 
 82,311 
 
 8,649 
 
 16,625 
 
 1,755 
 
 128^716 
 
 108,833 
 
 4,566 
 
 9,444 
 
 6,711 
 
 760,520 
 
 68,432 : 
 
 j 
 
 6,822 
 
 13,059 
 
 4,211 
 
 426,460 
 
 92,480 
 
 2,382 
 
 12,096 
 
 9,511 
 
 225,538 
 
 92,715 
 
 2,743 
 
 10,153 
 
 7,733 
 
 420,742 
 
 73,804 
 
 5,488 
 
 10,172 
 
 5,442 
 
 328,859 
 
 68,957 
 
 7,087 
 
 12,250 
 
 3,308 
 
 842,140 
 
 88,186 , 
 
 31 
 
 18,900 
 
 20,778 
 24,773 
 19,298 
 26,885 
 28,147 
 26,072 
 19,839 
 23,970 
 30,838 
 16,287 
 19,471 
 26,222 
 23,299 
 23,581 
 22,962 
 24,172 
 17,746 
 26,852 
 22,619 
 24,570 
 17,079 
 23,557 
 20,255 
 31,792 
 
ANSWERS. 
 
 49 
 
 SIMPLE NUMBERS (pages 59, 61). 
 
 43 44 
 
 117,2511 93,801f 
 
 185,875 148,700 
 
 155,0211 124,017 
 
 200,1641 160,1311 
 
 97,425 77,940 
 
 239,200 191,360 
 
 71,251 57,000f 
 
 125,094 100,075^ 
 
 168,850 135,080 
 
 183,225 146,580 
 
 121,575 97,260 
 
 210,0031 168,003 
 
 142,517 114,013a 
 
 240,600 192,480 
 
 108,900 87,120 
 
 175,2103 140,1681 
 
 164,925 131,940 
 
 200,2181 160,175 
 
 160,751f 128,601f 
 
 87,523 70,018f 
 
 200,1911 160,153 
 
 117,2511 93,801f 
 
 195,625 156,500 
 
 236,5011 189,201f 
 
 116,325 93,060 
 
 32 
 
 33 
 
 34 
 
 37,773 
 
 8,139 
 
 4,803 
 
 79,285 
 
 3,164 
 
 6,618 
 
 10,984 
 
 4,826 
 
 2,352 
 
 60,950 
 
 2,412 
 
 8,607 
 
 8,164 
 
 8,401 
 
 8,016 
 
 74,082 
 
 7,489 
 
 4,371 
 
 42,889 
 
 4,807 
 
 6,153 
 
 33,185 
 
 6,532 
 
 3,636 
 
 20,439 
 
 2,2m 
 
 6,984 
 
 60,582 
 
 8,705 
 
 5,619 
 
 81,175 
 
 2,044 
 
 2,430 
 
 12,722 
 
 5,810 
 
 3,714 
 
 48,901 
 
 4,979 
 
 7,599 
 
 77,365 
 
 8,770 
 
 4,047 
 
 36,809 
 
 4,419 
 
 7,215 
 
 59,493 
 
 2,294 
 
 2,460 
 
 53,234 
 
 5,277 
 
 6,021 
 
 11,636 
 
 1,750 
 
 3,432 
 
 28,208 
 
 10,386 
 
 8,457 
 
 20,227 
 
 4,809 
 
 4,536 
 
 84,574 
 
 7,577 
 
 5,586 
 
 62,387 
 
 2,496 
 
 1,782 
 
 39,676 
 
 4,105 
 
 8,088 
 
 16,831 
 
 6,513 
 
 6,087 
 
 76,606 
 
 8,074 
 
 8,553 
 
50 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS (page 61). 
 
 45 
 
 l,341,058t 
 
 1,088,463^ 
 775,730 
 
 1,303,4101 
 
 l,511,386f 
 963,771t 
 650,957t 
 474,895 
 
 1,078,476 
 963,8431 
 
 1,260,1411 
 612,013t 
 820,268 
 
 1,571,762 
 697,843^ 
 
 l,068,390f 
 266,451 
 
 1,236,848^ 
 
 1,075,118^ 
 472,511f 
 884,456^ 
 590,114^ 
 
 46 
 
 1,149,478^ 
 
 932,968^ 
 664,911^ 
 
 1,117,209 
 
 1,295,474 
 826,090 
 557,963f 
 407,052f 
 924,408 
 826,151f 
 
 l,080,121f 
 524,583^ 
 703,086f 
 
 l,347,224f 
 598,151? 
 915,763f 
 228,386f 
 
 l,060,155f 
 921,530f 
 405,009^ 
 758,105^ 
 505,812^ 
 
 1,231,744^ l,055,781f 
 
 1,013,957^ 
 
 869,106-^ 
 
 1,234,775^ 1,058,379 
 
 47 
 
 48 
 
 58,625| 
 
 52,111| 
 
 92,937| 
 
 82,611^ 
 
 77,510t 
 
 68,898-3 
 
 100,0821 
 
 88,962^ 
 
 48,712| 
 
 43,300 
 
 119,600 
 
 106,311^ 
 
 35,625| 
 
 31,667^ 
 
 62,547 
 
 55,597f 
 
 84,425 
 
 75,044^ 
 
 91,6121 
 
 81,433| 
 
 60,787t 
 
 54,033^ 
 
 105,001| 
 
 93,335 
 
 71,258t 
 
 63,340| 
 
 120,300 
 
 106,933§ 
 
 54,450 
 
 48,400 
 
 87,605-} 
 
 77,871^ 
 
 82,462f 
 
 73,300 
 
 100,1091 
 
 88,986^ 
 
 80,375 1 
 
 71,4452 
 
 43,761| 
 
 38,899^ 
 
 100,0951 
 
 88,973f 
 
 }J^,(J2^ 
 
 52,lllf 
 
 97,812| 
 
 86,944^ 
 
 118,250^ 
 
 105,1111 
 
 58,162^ 
 
 51,700 
 
ANSWERS. 
 
 51 
 
 SIMPLE NUMBERS (page 61).* 
 
 404; 8 
 360; 6 
 536; 9 
 483; 5 
 205; 12 
 300; 3 
 186 
 
 373 
 610 
 405 
 567 
 275 
 472 
 247 
 543 
 291 
 365 
 72 
 560 
 435 
 480 
 570 
 287 
 264 
 
 13 
 
 10 
 
 10 
 
 2 
 
 5 
 
 2 
 
 1 
 
 9 
 
 5 
 
 5 
 
 14 
 
 6 
 
 5 
 
 9 
 
 10 
 
 3 
 
 453; 10 
 
 5^ .... 
 29,312; 15 
 
 46,468; 12 
 
 38,755; 5 
 
 50,041 ; 3 
 
 24,356 ; 4 
 
 59,800 
 
 17,812 ; 12 
 
 31,273; 8 
 
 42,212 ; 8 
 
 45,806 ; 4 
 
 30,393; 12 
 
 52,500 ; 15 
 
 35,629 ; 4 
 
 60,150 
 
 27,225 
 
 43,802 
 
 41,231 
 
 50,054 
 
 40,187 
 
 21,880 
 
 50,047 
 
 29,312 
 
 48,906 
 
 59,125 
 
 29,081 
 
 11 
 
 4 
 
 11 
 
 15 
 
 12 
 
 13 
 
 15 
 
 4 
 
 7 
 
 4 
 
 52 
 
 26,055 
 
 Rem. 
 
 17 
 
 53 
 
 298,013 ; 
 
 41,305 
 
 , 10- 
 
 241,880 ; 
 
 34,449 
 
 , 3 
 
 172,384 ; 
 
 44,481 
 
 , 1 
 
 289,646 ; 
 
 21,650 
 
 
 335,863 ; 
 
 53,155 
 
 , 10 
 
 214,171 ; 
 
 15,833 
 
 , 10 
 
 144,657 ; 
 
 27,798 
 
 12 
 
 105,532 ; 
 
 37,522 
 
 4 
 
 239,661 ; 
 
 40,716 
 
 12 
 
 214,187 ; 
 
 27,016 
 
 12 
 
 280,031 ; 
 
 46,667 
 
 9 
 
 136,003 ; 
 
 31,670 
 
 8 
 
 182,281 ; 
 
 53,466 
 
 12 
 
 349,280 ; 
 
 24,200 
 
 
 155,076 ; 
 
 38,935 
 
 13 
 
 237,420 ; 
 
 36,650 
 
 
 59,211 ; 
 
 44,493 , 
 
 1 
 
 274,855 ; 
 
 35,722 ; 
 
 11 
 
 238,915 ; 
 
 19,449 ; 
 
 10 
 
 105,002 ; 
 
 44,486 ; 
 
 17 
 
 196,545 ; 
 
 2Q>,0^^ ; 
 
 17 
 
 131,136 ; 
 
 43,472 ; 
 
 4 
 
 273,721 ; 
 
 ^2,565 ; 
 
 17 
 
 225,323 ; 
 
 25,850 
 
 
 274,394 ; 
 
 * For tlie sake of being read more easily, the answers to examples in Exercises 50 to 
 are put in their simj>lest fonn, with remainders merely. 
 
52 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS (page 61). 
 
 54 
 
 134; 
 
 Rem. 
 
 38 
 
 79; 
 
 34 
 
 108; 
 
 57 
 
 129; 
 
 26 
 
 64; 
 
 15 
 
 70; 
 
 23 
 
 35; 
 
 60 
 
 67 
 
 43 
 
 169; 
 
 34 
 
 80 
 
 5 
 
 146; 
 
 39 
 
 87 
 
 41 
 
 108, 
 
 62 
 
 69 
 
 49 
 
 166 
 
 20 
 
 52 
 
 2 
 
 69 
 
 29 
 
 17 
 
 23 
 
 147 
 
 , 27 
 
 94 
 
 ; 44 
 
 96 
 
 , 9 
 
 127 
 
 ; 51 
 
 73 
 
 ; 1 
 
 86 
 
 ; 4 
 
 93 
 
 ; 16 
 
 55 
 
 10,422 ; 
 
 Rem. 
 
 17 
 
 56 
 
 12,417; 
 
 Rem. 
 
 136 
 
 5 
 
 77; 
 
 10,933 ; m 
 
 13,807 ; 
 
 70 
 
 137; 
 
 8,379 ; 39 
 
 5,574 ; 
 
 90 
 
 77; 
 
 14,297 ; 27 
 
 13,210 • 
 
 143 
 
 110; 
 
 8,118 ; 36 
 
 12,490 
 
 578 
 
 126; 
 
 14,950 
 
 6,061 
 
 436 
 
 212; 
 
 3,653 ; 
 
 70 
 
 10,642 
 
 132 
 
 102; 
 
 6,028 , 
 
 52 
 
 9,859 , 
 
 119 
 
 89; 
 
 12,507 , 
 
 22 
 
 10,190 
 
 206 
 
 73; 
 
 9,643 ; 
 
 32 
 
 11,826 
 
 148 
 
 120; 
 
 8,384 ; 
 
 28 
 
 20,162 
 
 99 
 
 57; 
 
 17,872 , 
 
 31 
 
 5,329 
 
 402 
 
 203; 
 
 8,770 , 
 
 18 
 
 6,441 
 
 684 
 
 80; 
 
 18,158 ; 
 
 26 
 
 10,902 
 
 342 
 
 •259; 
 
 8,889 
 
 39 
 
 5,260 
 
 103 
 
 53; 
 
 8,343 
 
 31 
 
 18,473 
 
 211 
 
 160; 
 
 8,350 
 
 50 
 
 2,728 
 
 , 98 
 
 120; 
 
 12,712 
 
 19 
 
 11,835 
 
 544 
 
 732; 
 
 11,280 
 
 47 
 
 16,330 
 
 363 
 
 76; 
 
 5,073 
 
 m 
 
 3,841 
 
 410 
 
 53; 
 
 10,676 
 
 , 65 
 
 9,165 
 
 204 
 
 111; 
 
 7,000 
 
 ; 7 
 
 7,285 
 
 , 177 
 
 51 ; 
 
 13,262 
 
 ; 42 
 
 7,845 
 
 ; 478 
 
 181; 
 
 20,565 
 
 ; 17 
 
 21,883 
 
 ; 271 
 
 238; 
 
 6,373 
 
 ;7i 
 
 12,621 
 
 ; 126 
 
 (S%', 
 
 Ri-m. 
 
 1,771 
 
ANSWERS. 
 
 53 
 
 SIMPLE 
 
 51 
 1,326 ; 
 
 184 
 
 1,208 ; 
 
 333 
 
 578; 
 
 2,058 
 
 1,078 ; 
 
 4,963 
 
 2,937 ; 
 
 1,799 
 
 1,284 ; 
 
 778 
 
 1,399 ; 
 
 2,536 
 
 508; 
 
 2,538 
 
 706; 
 
 3,896 
 
 950, 
 
 2,312 
 
 888 
 
 6,633 
 
 889 
 
 513 
 
 694 
 
 6,700 
 
 2,544 
 
 2,508 
 
 513 
 
 , 4,061 
 
 1,466 
 
 ; 3,922 
 
 291 
 
 ; 4,026 
 
 6,783 
 
 ; 487 
 
 767 
 
 ; 3,311 
 
 434 
 
 ; 1,048 
 
 736 
 
 ; 915 
 
 413 
 
 ; 5,407 
 
 1,715 
 
 ; 2,248 
 
 1,536 
 
 ; 1,185 
 
 1,088 
 
 ; 4,813 
 
 NUMBERS 
 59 
 
 (page 61). 
 
 586; 
 
 Rem. 
 
 207 
 
 929; 
 
 300 
 
 775; 
 
 85 
 
 1,000 ; 
 
 659 
 
 487; 
 
 100 
 
 1,196 
 
 
 356; 
 
 204 
 
 625; 
 
 376 
 
 844; 
 
 200 
 
 916; 
 
 100 
 
 607; 
 
 700 
 
 1,050 ; 
 
 15 
 
 712; 
 
 468 
 
 1,203 
 
 
 544; 
 
 400 
 
 876; 
 
 43 
 
 824; 
 
 500 
 
 1,001 , 
 
 75 
 
 803 
 
 607 
 
 437 
 
 492 
 
 1,000 
 
 765 
 
 586 
 
 207 
 
 978 
 
 100 
 
 1,182 
 
 407 
 
 581 
 
 ; 500 
 
 6i 
 1,915 ; 
 
 3,352 
 
 1,554 ; 
 
 3,981 
 
 1,108 ; 
 
 780 
 
 1,862 ; 
 
 63 
 
 2,158; 
 
 4,718 
 
 1,376 , 
 
 3,430 
 
 929 
 
 3,946 
 
 678 
 
 1,770 
 
 1,540 
 
 2,856 
 
 1,376 
 
 3,862 
 
 1,800 
 
 849 
 
 874 
 
 , 1,283 
 
 1,171 
 
 ; 3,408 
 
 2,245 
 
 ; 1,572 
 
 996 
 
 ; 3,863 
 
 1,526 
 
 ; 1,142 
 
 380 
 
 ; 2,706 
 
 1,766 
 
 ; 3,889 
 
 1,535 
 
 ; 3,713 
 
 675 
 
 ; 68 
 
 1,263 
 
 ; 2,139 
 
 843 
 
 ; 87 
 
 1,759 
 
 ; 6,268 
 
 1,448 
 
 ; 2,145 
 
 1,763 
 
 ; 4,053 
 
 61 
 
 53,633 
 
 52,819 
 55,830 
 54,770 
 50,733 
 52,393 
 50,107 
 52,852 
 56,721 
 53,522 
 55,812 
 51,738 
 54,783 
 51,496 
 55,871 
 51,673 
 53,017 
 48,656 
 55,730 
 54,209 
 54,735 
 55,985 
 52,181 
 51,156 
 54,337 
 
54 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS (page 61). 
 
 Examples. 
 1. 
 
 62 
 
 541,246 
 
 63 
 7,577,345 
 
 64 
 
 3,356,282 
 
 65 
 
 2,845,934,476 
 
 2. 
 
 814,925 
 
 5,787,281 
 
 904,219 
 
 4,019,361,000 
 
 3. 
 
 694,521 
 
 4,034,295 
 
 1,546,470 
 
 4,991,064,165 
 
 4. 
 
 874,035 
 
 7,019,804 
 
 186,127 
 
 5,804,777,750 
 
 5. 
 
 459,039 
 
 8,678,618 
 
 5,171,318 
 
 1,203,003,900 
 
 6. 
 
 1,027,799 
 
 4,825,830 
 
 3,785,370 
 
 4,308,470,400 
 
 7. 
 
 353,717 
 
 3,620,742 
 
 1,055,706 
 
 795,161,160 
 
 8. 
 
 571,834 
 
 2,348,994 
 
 2,154,390 
 
 2,806,108,608 
 
 9. 
 
 750,727 
 
 5,795,456 
 
 283,144 
 
 6,186,664,000 
 
 10. 
 
 805,028 
 
 5,050,162 
 
 1,545,938 
 
 4,459,696,500 
 
 11. 
 
 560,718 
 
 7,074,549 
 
 2,697,849 
 
 4,136,954,100 
 
 12. 
 
 910,359 
 
 2,832,068 
 
 4,728,067 
 
 3,469,261,950 
 
 13. 
 
 643,457 
 
 4,351,540 
 
 779,072 
 
 4,037,221,576 
 
 14. 
 
 1,032,502 
 
 8,468,172 
 
 193,428 
 
 3,566,654,400 
 
 15. 
 
 510,077 
 
 3,751,463 
 
 168,937 
 
 3,551,882,400 
 
 16. 
 
 771,122 
 
 5,709,499 
 
 598,088 
 
 3,062,683,910 
 
 17. 
 
 731,323 
 
 939,006 
 
 4,998,294 
 
 3,615,156,000 
 
 18. 
 
 868,137 
 
 6,620,214 
 
 587,661 
 
 876,157,250 
 
 19. 
 
 717,313 
 
 5,807,706 
 
 20,643 
 
 5,405,116,842 
 
 20. 
 
 422,907 
 
 2,484,976 
 
 665,852 
 
 2,286,100,760 
 
 21. 
 
 874,106 
 
 4,505,974 
 
 2,700,911 
 
 5,772,714,885 
 
 22. 
 
 543,598 
 
 3,071,680 
 
 1,149,383 
 
 4,014,699,920 
 
 23. 
 
 853,287 
 
 6,607,968 
 
 434,532 
 
 3,371,010,000 
 
 24. 
 
 1,015,769 
 
 5,137,738 
 
 3,376,325 
 
 3,746,187,720 
 
 25. 
 
 538,243 
 
 6,943,353 
 
 2,775,653 
 
 3,166,366,500 
 
ANSWERS. 
 
 55 
 
 SIMPLE NUMBERS 
 66 
 
 3,773,795,412,464 
 4,855,635,673,500 
 2,886,111,222,300 
 6,261,524,085,117 
 3,533,923,524,600 
 5,532,820,384,000 
 1,113,153,232,984 
 1,425,756,363,120 
 4,370,416,142,400 
 4,238,406,139,800 
 3,676,840,868,700 
 3,084,604,801,245 
 2,805,651,229,344 
 9,075,982,492,800 
 1,823,884,642,800 
 4,492,643,318,306 
 1,054,666,348,200 
 5,943,364,652,875 
 4,147,853,613,991 
 992,534,626,256 
 4,249,450,855,335 
 1,660,606,987,809 
 5,783,041,210,000 
 5,755,265,356,215 
 3,447,246,240,900 
 
 (page 61). 
 
 67 
 
 68 
 
 69 
 
 413,836 
 
 401,847 
 
 8,012 
 
 218,323 
 
 684,710 
 
 6,825 
 
 689,176 
 
 531,245 
 
 10,554 
 
 343,214 
 
 722,239 
 
 9,026 
 
 523,989 
 
 351,570 
 
 5,265 
 
 905,613 
 
 902,230 
 
 7;365 
 
 131,899 
 
 253,434 
 
 3,891 
 
 77,913 
 
 441,406 
 
 6,475 
 
 394,065 
 
 577,450 
 
 11,065 
 
 233,036 
 
 667,160 
 
 7,552 
 
 132,118 
 
 397,480 
 
 9,632 
 
 470,591 
 
 791,825 
 
 6,197 
 
 576,614 
 
 491,608 
 
 9,374 
 
 744,519 
 
 916,690 
 
 6,301 
 
 625,462 
 
 346,100 
 
 10,542 
 
 116,039 
 
 653,673 
 
 5,411 
 
 337,916 
 
 599,040 
 
 7,238 
 
 392,035 
 
 783,665 
 
 2,975 
 
 147,619 
 
 554,997 
 
 9,591 
 
 538,114 
 
 277,412 
 
 8,744 
 
 328,032 
 
 722,885 
 
 8,946 
 
 227,636 
 
 378,547 
 
 10,018 
 
 883,056 
 
 730,000 
 
 7,134 
 
 73,324 
 
 903,627 
 
 4,794 
 
 337,764 
 
 391,380 
 
 8,566 
 
56 
 
 BPdLL EXERCISES. 
 
 
 SIMPLE NUMBERS 
 
 [pages 61, 63). 
 
 Examples. 
 1. 
 
 71 
 
 23,092 
 
 72 
 
 1,791§ 
 
 73 
 
 28 cows 5 
 
 $36 
 
 82 
 
 914,041 
 
 2. 
 
 26,758 
 
 1,621| 
 
 13 '^ 
 
 62 
 
 1,040,014 
 
 3. 
 
 53,741 
 
 2,380 
 
 22 " 
 
 42 
 
 976,067 
 
 4. 
 
 25,902 
 
 2,200§ 
 
 21 '' 
 
 8 
 
 1,678 
 
 5. 
 
 31,761 
 
 771 
 
 30 " 
 
 12 
 
 63,306,000 
 
 6. 
 
 56,553 
 
 l,161f 
 
 29 " 
 
 52 
 
 19,900,019 
 
 7. 
 
 25,836 
 
 781§ 
 
 9 " 
 
 32 
 
 170,000,007 
 
 8. 
 
 18,379 
 
 1,745^ 
 
 6 " 
 
 80 
 
 10,001,101 
 
 9. 
 
 25,130 
 
 2,823| 
 
 23 " 
 
 28 
 
 305,050,000 
 
 10. 
 
 41,079 
 
 1,840 
 
 12 " 
 
 66 
 
 12,200,002 
 
 11. 
 
 13,243 
 
 2,691^ 
 
 12 " 
 
 54 
 
 1,018,008 
 
 12. 
 
 28,253 
 
 1,131^ 
 
 29 " 
 
 15 
 
 1,000,600,006 
 
 13. 
 
 42,578 
 
 2,084i 
 
 23 " 
 
 33 
 
 904,000,094 
 
 14. 
 
 42,139 
 
 929i 
 
 32 " 
 
 34 
 
 3,030,000,303 
 
 15. 
 
 30,850 
 
 2,436i 
 
 32 '^ 
 
 24 
 
 2,000,412,014 
 
 16. 
 
 24,778 
 
 1,313 
 
 8 " 
 
 22 
 
 101,001,001 
 
 17. 
 
 40,814 
 
 1,605 
 
 14 " 
 
 66 
 
 6,000,060,600 
 
 18. 
 
 38,407 
 
 1342. 
 
 19 " 
 
 57 
 
 403,000,000,030 
 
 19. 
 
 14,109 
 
 2,651i 
 
 13 " 
 
 49 
 
 1,000,017,000,000 
 
 20. 
 
 44,392 
 
 1,907§ 
 
 21 " 
 
 27 
 
 506,000,065,005 
 
 21. 
 
 36,216 
 
 2,185 
 
 15 " 
 
 33 
 
 4,004,000,004,000 
 
 22. 
 
 24,002 
 
 2,669 
 
 14 " 
 
 34 
 
 689,000,006,089 
 
 23. 
 
 41,270 
 
 l,102i 
 
 31 " 
 
 55 
 
 42,000,000,040,200 
 
 24. 
 
 8,828 
 
 1,212 
 
 12 " 
 
 4 
 
 18,000,108,000,018 
 
 25. 
 
 36,046 
 
 2,048^ 
 
 16 " 
 
 6 
 
 4,047,000,004,700 
 

 
 ANSWERS. 
 
 
 57 
 
 
 
 SIMPLE NUMBERS (page 
 
 63). 
 
 Lines 
 
 1 and 2, 
 
 83 Ans. 
 
 1,954,055 
 
 Lines S4 Ans. 
 
 1 to 6,^ 86,137,819 
 
 2 ' 
 
 ' 3, 
 
 2,016,081 
 
 2 ' 
 
 ' 7, 
 
 255,223,785 
 
 3 ' 
 
 ' 4, 
 
 977,745 
 
 3 ' 
 
 ' 8, 
 
 264,184,872 
 
 4 ' 
 
 ^ 5, 
 
 63,307,678 
 
 4 ' 
 
 ' % 
 
 568,258,805 
 
 5 ' 
 
 ' 6, 
 
 83,206,019 
 
 5 ' 
 
 '10, 
 
 580,457,129 
 
 6 ' 
 
 ^ 7, 
 
 189,900,026 
 
 6 ' 
 
 '11, 
 
 518,169,137 
 
 7 ' 
 
 ' s, 
 
 180,001,108 
 
 7 ' 
 
 '12, 
 
 1,498,869,124 
 
 8 ^ 
 
 ' % 
 
 315,051,101 
 
 8 ' 
 
 '13, 
 
 2,232,869,211 
 
 9 ' 
 
 ao, 
 
 317,250,002 
 
 9 ' 
 
 '14, 
 
 5,252,868,413 
 
 10 ^ 
 
 '11, 
 
 13,218,010 
 
 10' 
 
 '15, 
 
 6,948,230,427 
 
 11 ' 
 
 '12, 
 
 1,001,618,014 
 
 11 ' 
 
 '16, 
 
 7,037,031,426 
 
 12 ' 
 
 '13, 
 
 1,904,600,100 
 
 12 ' 
 
 '17, 
 
 13,036,074,018 
 
 13 ^ 
 
 '14, 
 
 3,934,000,397 
 
 13 ' 
 
 '18, 
 
 415,035,474,042 
 
 14 ^ 
 
 '15, 
 
 5,030,412,317 
 
 14 ' 
 
 '19, 
 
 1,414,148,473,948 
 
 15 ' 
 
 '16, 
 
 2,101,413,015 
 
 15 ' 
 
 '20, 
 
 1,917,118,538,650 
 
 16 ' 
 
 '17, 
 
 6,101,061,601 
 
 16 ' 
 
 '21, 
 
 5,919,118,130,636 
 
 17 ' 
 
 '18, 
 
 409,000,060,630 
 
 17 ' 
 
 '22, 
 
 6,608,017,135,724 
 
 18 ' 
 
 '19, 
 
 1,403,017,000,030 
 
 18 ' 
 
 '23, 
 
 48,602,017,115,324 
 
 19 ' 
 
 '20, 
 
 1,506,017,065,005 
 
 19 ' 
 
 '24, 
 
 66,199,125,115,312 
 
 20 ' 
 
 '21, 
 
 4,510,000,069,005 
 
 20 ' 
 
 '25, 
 
 69,246,108,120,012 
 
 21 ' 
 
 '22, 
 
 4,693,000,010,089 
 
 
 
 * Inclusive. 
 
 22 ' 
 
 '23, 
 
 42,689,000,046,289 
 
 
 
 
 23 ' 
 
 '24, 
 
 60,000,108,040,218 
 
 
 
 
 24 ' 
 
 '25, 
 
 22,047,108,004,718 
 
 
 
 
DRILL EXERCISES. 
 
 Examples. 
 1. 
 
 Linei 
 
 1 an 
 
 2. 
 
 2- " 
 
 3. 
 
 3 " 
 
 4. 
 
 4 " 
 
 5. 
 
 5 " 
 
 6. 
 
 6 " 
 
 7. 
 
 7 " 
 
 8. 
 
 8 " 
 
 9. 
 
 9 " 
 
 10. 
 
 10 " 
 
 11. 
 
 11 '' 
 
 12. 
 
 12 " 
 
 13, 
 
 13 " 
 
 14. 
 
 14 " 
 
 15. 
 
 15 " 
 
 16. 
 
 16 " 
 
 17. 
 
 17 " 
 
 18. 
 
 18 " 
 
 19. 
 
 19 " 
 
 20. 
 
 20 " 
 
 21. 
 
 21 " 
 
 22. 
 
 22 " 
 
 23. 
 
 23 " 
 
 24. 
 
 24 " 
 
 25. 
 
 
 SIMPLE NUMBERS (page 63). 
 85 
 
 Ans. 
 
 125,973 
 
 3, 
 
 6, 
 
 7, 
 
 63,947 
 
 974,389 
 
 63,304,322 
 
 43,405,981 
 
 150,099,988 
 
 159,998,906 
 
 295,048,899 
 
 292,849,998 
 
 11,181,994 
 
 999,581,998 
 
 96,599,912 
 
 2,126,000,209 
 
 1,029,588,289 
 
 1,899,411,013 
 
 5,899,059,599 
 
 396,999,939,430 
 
 597,016,999,970 
 
 494,016,934,995 
 
 21, 3,497,999,938,995 
 
 22, 3,314,999,997,911 
 
 23, 41,311,000,034,111 
 
 24, 23,999,892,040,182 
 2o, 13,953,107,995,318 
 
 % 
 10, 
 
 11, 
 12, 
 13, 
 14, 
 15, 
 16, 
 17, 
 18, 
 19, 
 20, 
 
 86 
 5.484.246 
 
 6,240,084 
 
 5,856,402 
 
 10,068 
 
 379,836,000 
 
 119,400,114 
 
 1,020,000,042 
 
 60,006,606 
 
 1,830,300,000 
 
 73,200,012 
 
 6,108,048 
 
 6,003,600,036 
 
 5,424,000,564 
 
 18,180,001,818 
 
 12,002,472,084 
 
 606,006,006 
 
 36,000,363,600 
 
 2,418,000,000,180 
 
 6,000,102,000,000 
 
 3,036,000,390,030 
 
 24,024,000,024,000 
 
 4,134,000,036,534 
 
 252,000,000,241,200 
 
 108,000,648,000,108 
 
 24,282,000,028,200 
 
ANSWERS. 
 
 59 
 
 SIMPLE NUMBERS 
 
 87 
 
 6,398,287 
 
 7,280,098 
 
 6,832,469 
 
 11,746 
 
 443,142,000 
 
 139,300,133 
 
 1,190,000,049 
 
 70,007,707 
 
 2,135,350,000 
 
 85,400,014 
 
 7,126,056 
 
 7,004,200,042 
 
 6,328,000,658 
 
 21,210,002,121 
 
 14,002,884,098 
 
 707,007,007 
 
 42,000,424,200 
 
 2,821,000,000,210 
 
 7,000,119,000,000 
 
 3,542,000,455,035 
 
 28,028,000,028,000 
 
 4,823,000,042,623 
 
 294,000,000,281,400 
 
 126,000,756,126 
 
 28,329,000,032,900 
 
 (page 63). 
 
 88 
 
 7,312,328 
 
 8,320,112 
 
 7,808,536 
 
 13,424 
 
 506,448,000 
 
 159,200,152 
 
 1,360,000,056 
 
 80,008,808 
 
 2,440,400,000 
 
 97,600,016 
 
 8,144,064 
 
 8,004,800,048 
 
 7,232,000,752 
 
 24,240,002,424 
 
 16,003,296,112 
 
 808,008,008 
 
 48,000,484,800 
 
 3,224,000,000,240 
 
 8,000,136,000,000 
 
 4,048,000,520,040 
 
 32,032,000,032,000 
 
 5,512,000,048,712 
 
 336,000,000,321,600 
 
 144,000,864,000,144 
 
 32,376,000,037,000 
 
CO 
 
 DRILL EXERCISES. 
 
 SIMPLE NUMBERS 
 
 (page 63). 
 
 89 
 
 90 
 
 8,226,369 
 
 152,340^ 
 
 9,360,126 
 
 173,335^ 
 
 8,784,603 
 
 162,677^ 
 
 15,102 
 
 279^ 
 
 569,754,000 
 
 10,551,000 
 
 179,100,171 
 
 3,316,669f 
 
 1,530,000,063 
 
 28,333,334^ 
 
 90,009,909 
 
 1,666,850^ 
 
 2,745,450,000 
 
 50,841,666^ 
 
 109,800,018 
 
 2,033,3331 
 
 9,162,072 
 
 169,668 
 
 9,005,400,054 
 
 166,766,6671 
 
 8,136,000,846 
 
 150,666,682^ 
 
 27,270,002,727 
 
 505,000,050^ 
 
 18,003,708,126 
 
 333,402,002^ 
 
 909,009,009 
 
 16,833,500^ 
 
 54,000,545,400 
 
 1,000,010,100 
 
 3,627,000,000,270 
 
 67,166,666,671^ 
 
 9,000,153,000,000 
 
 166,669,500,000 
 
 4,554,000,585,045 
 
 84,333,344,167^ 
 
 36,036,000,036,000 
 
 667,333,334,000 
 
 6,201,000,054,801 
 
 114,833,334,348^ 
 
 378,000,000,361,800 
 
 7,000,000,006,700 
 
 162,000,972,000,162 
 
 3,000,018,000,003 
 
 36,423,000,042,300 
 
 674,500,000,783^ 
 
ANSWERS. 
 
 61 
 
 SIMPLE 
 
 91 
 
 130,577f 
 
 148,573^ 
 
 139,438} 
 
 239f 
 
 9,043,714f 
 
 2,842,859f 
 
 24,285,715f 
 
 1,428,728 f 
 
 43,578,5719 
 
 1,742,857? 
 
 145,429f 
 
 142,942,858 
 
 129,142,870f 
 
 432,857,186} 
 
 285,773,144^ 
 
 14,428,714^ 
 
 857,151,514f 
 
 57,571,428,575^^ 
 
 142,859,571,428^ 
 
 72,285,723,572} 
 
 572,000,000,571? 
 
 98,428,572,298? 
 
 6,000,000,005,742f 
 
 2,571,444,000,002^ 
 
 578,142,857,814f 
 
 NUMBERS (page 
 
 92 
 
 114,255^ 
 
 130,0011 
 122,008| 
 209| 
 7,913,250 
 2,487,502t 
 21,250,000f 
 l,250,137f 
 38,131,250 
 1,525,0001 
 127,251 
 125,075,000^ 
 113,000,0111 
 378,750,0371 
 250,051,501 § 
 12,625,125^ 
 750,007,575 
 50,375,CC0,0C3§ 
 125,002,125,000 
 63,250,008,1251 
 500,500,000,500 
 86,125,000,761J 
 5,250,000,005,025 
 2,250,013,500,0021 
 505,875,000,5871 
 
 63). 
 
 93 
 
 101,560^ 
 
 115,557^ 
 108,4511 
 186t 
 7,034,000 
 2,211,1131 
 18,888,889-«- 
 1,111,233^ 
 33,894,444^ 
 1,355,555^ 
 113,112 
 111,177,778^ 
 100,444,4541 
 336,666,7C0§ 
 222,268,001^ 
 11,222,333* 
 666,673,400 
 44,777,777,781^ 
 111,113,000,000 
 56,222,229,445 
 444,888,889,3331 
 76,555,556,232 J- 
 4,666,666,671,133^ 
 2,000,012,000,002 
 449,666,667,188§ 
 
62 
 
 DRILL EXERCTSES. 
 
 
 SIMPLE NUMBERS (page 63 
 
 . 
 
 Examples. 
 
 94 
 
 95 
 
 96 
 
 97 
 
 1. 
 
 2,016 
 
 234 
 
 413 
 
 ^Oj%% 
 
 2. 
 
 3,796 
 
 819 
 
 160 
 
 56 
 
 3. 
 
 8,019 
 
 594 
 
 558 
 
 205,«^ 
 
 4. 
 
 2,160 
 
 648 
 
 84 
 
 27 
 
 5. 
 
 6,400 
 
 432 
 
 408 
 
 117 
 
 6. 
 
 5,775 
 
 833 
 
 120 
 
 5^^% 
 
 7. 
 
 3,584 
 
 1,820 
 
 44 
 
 mn 
 
 8. 
 
 6,392 
 
 1,190 
 
 240 
 
 341 Of 
 
 9. 
 
 4,131 
 
 1,224 
 
 129 
 
 2^,%\ 
 
 10. 
 
 6,048 
 
 648 
 
 366 
 
 7m 
 
 11. 
 
 7,392 
 
 748 
 
 512 
 
 256 
 
 12. 
 
 7,448 
 
 840 
 
 245 
 
 17111 
 
 13. 
 
 1,728 
 
 912 
 
 90 
 
 - ^in 
 
 14. 
 
 2,115 
 
 117 
 
 200 
 
 27t§^ 
 
 15. 
 
 5,562 
 
 
 
 414 
 
 76§8 
 
 16. 
 
 3,168 
 
 198 
 
 354 
 
 4711 
 
 17. 
 
 7,980 
 
 2,508 
 
 129 
 
 4CA^a 
 
 18. 
 
 9,065 
 
 924 
 
 224 
 
 1295? 
 
 19. 
 
 5,395 
 
 715 
 
 280 
 
 49/3^^^ 
 
 20. 
 
 3,840 
 
 
 
 712 
 
 64 
 
 21. 
 
 5,236 
 
 2,652 
 
 54 
 
 i4r^^ 
 
 22. 
 
 7,728 
 
 1,680 
 
 284 
 
 69,V, 
 
 23. 
 
 6,039 
 
 385 
 
 756 
 
 16832 
 
 24. 
 
 8,372 
 
 1,092 
 
 399 
 
 357 
 
 25. 
 
 2,652 
 
 104 
 
 432 
 
 41i? 
 
ANSWERS. 
 
 63 
 
 UNITED STATES MONEY 
 107 
 
 1^250 
 
 71,900 
 
 25,620 
 
 18,090 
 
 130,060 
 
 5,075 
 
 1,908 
 
 100,200 
 
 49,720 
 
 6,073 
 
 275 
 
 12,190 
 
 255 
 
 16,006 
 
 49,240 
 
 5,675 
 
 99,560 
 
 178 
 
 38,005 
 
 89,503 
 
 925 
 
 755 
 
 54,090 
 
 4,444 
 
 9,099 
 
 105 
 
 $ 12.25 
 
 106 
 
 1,840 
 
 71.90 
 
 8,322 
 
 25.62 
 
 3,641 
 
 18.09 
 
 3,005 
 
 130.06 
 
 20,475 
 
 5.075 
 
 920 
 
 1.908 
 
 563 
 
 100.20 
 
 87,600 
 
 49.72 
 
 10,035 
 
 6.073 
 
 1,520 
 
 0.275 
 
 136 
 
 12.19 
 
 2,095 
 
 0.255 
 
 40 
 
 16.006 
 
 1,900 
 
 49.24 
 
 6,307 
 
 5.675 
 
 764 
 
 99.56 
 
 41,928 
 
 0.178 
 
 62 
 
 38.005 
 
 50,057 
 
 89.503 
 
 26,806 
 
 0.925 
 
 2,970 
 
 0.755 
 
 1,100 
 
 54.09 
 
 10,002 
 
 4.444 
 
 44,444 
 
 9.099 
 
 10,010 
 
 (page 73). 
 
 108 
 1,275.92 
 1,335.57 
 1,289.29 
 1,281.76 
 1,393.73 
 1,268.745 
 1,265.578 
 1,363.87 
 1,313.39 
 1,269.743 
 1,263.945 
 1,275.86 
 1,263.925 
 1,279.676 
 1,312.91 
 1,269.345 
 1,363.23 
 1,263.848 
 1,301.675 
 1,353.173 
 1,264.595 
 1,264.425 
 1,317.76 
 1,268.114 
 1,272.769 
 
 109 
 
 % 295.94 
 600.10 
 459.263 
 404.773 
 1,332.833 
 1,148.093 
 1,155.09 
 1,149.185 
 206.125 
 56.712 
 70.443 
 181.12 
 161.30 
 679.483 
 645.275 
 1,071.538 
 1,415.781 
 927.566 
 938.523 
 554.058 
 645.379 
 723.953 
 
61 
 
 DRILL EXERCISES. 
 
 UNITED STATES MONEY 
 
 112 
 $ 110.40 
 
 499.32 
 218.46 
 180.30 
 1,228.50 
 55.248 
 33.792 
 5,256.00 
 602.10 
 91.242 
 8.16 
 125.70 
 2.412 
 114.03 
 378.432 
 45.87 
 2,515.68 
 3.75 
 3,003.42 
 1,608.36 
 178.20 
 66.03 
 600.12 
 2,666.64 
 600.60 
 
 ampfes. 
 
 no 
 
 111 
 
 1. 
 
 % 881.60 
 
 $6.15 
 
 2. 
 
 816.78 
 
 11.32 
 
 3. 
 
 863.59 
 
 10.79 
 
 4. 
 
 869.95 
 
 11.96 
 
 5* 
 
 695.25 
 
 74.69 
 
 6. 
 
 890.792 
 
 4.133 
 
 7. 
 
 894.368 
 
 3.724 
 
 8. 
 
 24.00 
 
 775.80 
 
 9. 
 
 799.65 
 
 50.63 
 
 10. 
 
 884.793 
 
 9.134 
 
 11. 
 
 898.64 
 
 1.085 
 
 12. 
 
 879.05 
 
 8.76 
 
 13. 
 
 899.598 
 
 0.147 
 
 14. 
 
 880.995 
 
 2.999 
 
 15. 
 
 836.928 
 
 13.832 
 
 16. 
 
 892.355 
 
 1.97 
 
 17. 
 
 480.72 
 
 319.72 
 
 18. 
 
 899.375 
 
 0.447 
 
 19. 
 
 399.43 
 
 462.565 
 
 20. 
 
 631.94 
 
 178.557 
 
 21. 
 
 870.30 
 
 28.775 
 
 22. 
 
 888.995 
 
 10.25 
 
 23. 
 
 799.98 
 
 45.93 
 
 24. 
 
 455.56 
 
 439.996 
 
 25. 
 
 799.90 
 
 91.001 
 
 page 73). 
 
 
 113 
 
 114 
 
 % 85.75 
 
 $165.60 
 
 503.30 
 
 748.98 
 
 179.34 
 
 327.69 
 
 126.63 
 
 270.45 
 
 910.42 
 
 1,842.75 
 
 35.525 
 
 82.872 
 
 13.356 
 
 50.688 
 
 701.40 
 
 7,884.00 
 
 348.04 
 
 903.15 
 
 42.511 
 
 136.863 
 
 ,1.925 
 
 12.24 
 
 85.33 
 
 188.55 
 
 1.785 
 
 3.618 
 
 112.042 
 
 171.045 
 
 344.68 
 
 567.648 
 
 39.725 
 
 68.805 
 
 696.92 
 
 3,773.52 
 
 1.246 
 
 5.625 
 
 266.035 
 
 4,505.13 
 
 626.521 
 
 2,412.54 
 
 6.475 
 
 267.30 
 
 5.285 
 
 99.045 
 
 378.63 
 
 900.18 
 
 31.108 
 
 3,999.96 
 
 63.693 
 
 900.90 
 

 ANSWERS. 
 
 
 t)f 
 
 UNITED STATES MONEY 
 
 (page 73). 
 
 
 115 
 
 116 
 
 117 
 
 118 
 
 119 
 
 11.84 
 
 $1.11 
 
 11.02 
 
 12.63 
 
 73M 
 
 8.32 
 
 6.54 
 
 6.00 
 
 11.89 
 
 332 If 
 
 3.64 
 
 2.33 
 
 2.13 
 
 5.20 
 
 145^ 
 
 3.01 
 
 1.64 
 
 1.51 
 
 4.29 
 
 120^5 
 
 20.48 
 
 11.82 
 
 10.84 
 
 29.25 
 
 819 
 
 0.92 
 
 0.46 
 
 0.42 
 
 1.32 
 
 36e 
 
 0.56 
 
 0.17 
 
 0.16 
 
 0.80 
 
 22^ 
 
 87.60 
 
 9.11 
 
 8.35 
 
 125.14 
 
 3,504 
 
 10.04 
 
 4.52 
 
 4.14 
 
 14.33 
 
 401M 
 
 1.52 
 
 0.55 
 
 0.51 
 
 2.17 
 
 60M 
 
 0.14 
 
 0.03 
 
 0.02 
 
 0.19 
 
 5H 
 
 2.10 
 
 1.11 
 
 1.02 
 
 2.99 
 
 m% 
 
 0.04 
 
 0.02 
 
 0.02 
 
 0.06 
 
 m 
 
 1.90 
 
 1.46 
 
 1.33 
 
 2.72 
 
 76 
 
 6.31 
 
 4.48 
 
 4.10 
 
 9.01 
 
 252/j 
 
 0.76 
 
 0.52 
 
 0.47 
 
 1.09 
 
 30i| 
 
 41.93 
 
 9.05 
 
 8.30 
 
 59.89 
 
 Ifilli-s 
 
 0.06 
 
 0.16 
 
 0.01 
 
 0.09 
 
 2H 
 
 50.06 
 
 3.46 
 
 3.17 
 
 71.51 
 
 2,002/^ 
 
 26.81 
 
 8.14 
 
 7.46 
 
 38.29 
 
 1,072^ 
 
 2.97 
 
 0.08 
 
 0.08 
 
 4.24 
 
 118|^ 
 
 1.10 
 
 0.07 
 
 0.06 
 
 1.57 
 
 44 
 
 10.00 
 
 4.92 
 
 4.51 
 
 14.29 
 
 400^ 
 
 44.44 
 
 0.40 
 
 0.37 
 
 63.49 
 
 1,777H 
 
 10.01 
 
 0.83 
 
 0.76 
 
 14.30 
 
 400^^ 
 
G6 
 
 DRILL EXERCISES. 
 
 
 UNITED 
 
 STATES MONEY (page 73 
 
 ). 
 
 Examples. 
 1. 
 
 120 
 
 115 
 
 121 
 
 2,450 
 
 122 
 
 % 239.20 
 
 123 
 
 230 lb 
 
 2. 
 
 520^ 
 
 14,380 
 
 1,081.86 
 
 1,040| 
 
 3. 
 
 227^9^ 
 
 5,124 
 
 473.33 
 
 455^ 
 
 4. 
 
 187i^ 
 
 3,618 
 
 390.65 
 
 3751 
 
 5. 
 
 1,279H 
 
 26,012 
 
 2,661.75 
 
 2,559^ 
 
 6. 
 
 57/, 
 
 1,015 
 
 119.704 
 
 115 
 
 7. 
 
 35tV 
 
 381^ 
 
 73.216 
 
 70t 
 
 8. 
 
 5,475 
 
 20,040 
 
 11,388. 
 
 10,950 
 
 9. 
 
 627^ 
 
 9,944 
 
 1,304.55 
 
 1,254| 
 
 10. 
 
 95 
 
 1,214| 
 
 197.691 
 
 190 
 
 11. 
 
 8A 
 
 b^ 
 
 17.68 
 
 17 
 
 12. 
 
 1301^ 
 
 2,438 
 
 272.35 
 
 261^ 
 
 13. 
 
 2^ 
 
 51 
 
 5.226 
 
 5 
 
 14. 
 
 llSlf 
 
 3,201^ 
 
 247.065 
 
 2371 
 
 15. 
 
 394,3, 
 
 9,848 
 
 819.936 
 
 788t 
 
 16. 
 
 47H 
 
 1,135 
 
 99.385 
 
 95| 
 
 17. 
 
 2,620^ 
 
 19,912 
 
 5,450.64 
 
 5,241 
 
 18. 
 
 311 
 
 35^ 
 
 8.125 
 
 7f 
 
 19. 
 
 3,128,^ 
 
 7,601 
 
 6,507.41 
 
 6,257i 
 
 20. 
 
 1,675A 
 
 17,900^ 
 
 3,484.78 
 
 3,350§ 
 
 21. 
 
 1851^ 
 
 185 
 
 386.10 
 
 371| 
 
 22. 
 
 68H 
 
 151 
 
 143.065 
 
 137| 
 
 23. 
 
 625i^ 
 
 10,818 
 
 1,300.26 
 
 l,250f 
 
 24. 
 
 2,777U 
 
 888f 
 
 5,777.72 
 
 5,555| 
 
 25. 
 
 625H 
 
 l,819f 
 
 1,301.30 
 
 l,251i 
 
ANSWERS. 
 
 67 
 
 COMMON FRACTIONS (page 123). 
 
 124 
 5, 37. 
 
 2^ 3^ 
 
 2, S, 5, 13. 
 
 7,83. 
 
 2^, 35. 
 
 2, 7, 43. 
 2^ 23. 
 5\ 17. 
 127. 
 
 2% S, 13. 
 2^ 7, 11. 
 769. 
 2^ 11^. 
 
 3, 947. 
 2% 5, 17. 
 647. 
 
 2, S, 23. 
 2», 3, 7. 
 
 3, 7, 23. . 
 3^ 
 
 5,89. 
 5,97. 
 
 2% 3, 67. 
 2% 5, 31. 
 2% 103. 
 
 125 
 2^ 37. 
 
 22, 3^ 
 
 22, 32, 11, 13. 
 
 2^ 
 
 83. 
 
 2^ 
 
 3^5. 
 
 2, 
 
 3, 5, 43. 
 
 2', 
 
 32, 23. 
 
 5, 
 
 7,17. 
 
 2, 
 
 3, 127. 
 
 2» 
 
 7,13. 
 
 2^ 
 
 5, 7, 11. 
 
 2, 
 
 769. 
 
 2», 
 
 3, 112. 
 
 5, 
 
 947. 
 
 04 
 
 3,17. 
 
 647. 
 
 2S 
 
 23. 
 
 2, 
 
 3, 7, 13. 
 
 3, 
 
 11, 23. 
 
 22 
 
 3^ 
 
 
 
 ■^7 
 
 3,89. 
 
 32, 
 
 97. 
 
 2^ 
 
 5,67. 
 
 2% 
 
 32, 31. 
 
 2, 
 
 7, 103. 
 
 126 
 
 127 
 
 37 
 
 72 
 
 108 
 
 1,080 
 
 78 
 
 576 
 
 83 
 
 1,596 
 
 108 
 
 84 
 
 86 
 
 96 
 
 92 
 
 240 
 
 85 
 
 63 
 
 127 
 
 31,050 
 
 104 
 
 1,680 
 
 308 
 
 1,365 
 
 769 
 
 360 
 
 968 
 
 855 
 
 947 
 
 1,232 
 
 68 
 
 270 
 
 647 
 
 770 
 
 46 
 
 255 
 
 42 
 
 31,720 
 
 69 
 
 190 
 
 81 
 
 132 
 
 89 
 
 936 
 
 97 
 
 684 
 
 268 
 
 252 
 
 124 
 
 5,115 
 
 206 
 
 390 
 
 128 
 
 f 
 
 
 I 
 
 i 
 
68 
 
 
 DRILL 
 
 EXERCISES. 
 
 
 
 
 
 COMMON PKACTIONS (page 123). 
 
 Examples. 
 
 130 
 
 131 
 
 132 
 
 133 
 
 134 
 
 i36 
 
 ise 
 
 137 
 
 1. 
 
 m 
 
 n 
 
 85 
 
 lOliV 
 
 u 
 
 59| 
 
 6A 
 
 60>i 
 
 2. 
 
 m 
 
 m 
 
 9-^,% 
 
 74JI 
 
 m 
 
 2? 
 
 151 J 
 
 3?8 
 
 3. 
 
 m 
 
 2sV 
 
 5iJ 
 
 93i 
 
 ii 
 
 45f 
 
 13J 
 
 46,'5 
 
 4. 
 
 u\ 
 
 U^\ 
 
 im 
 
 126/j 
 
 A 
 
 47i 
 
 19iV 
 
 47/, 
 
 5. 
 
 1A\ 
 
 mi 
 
 m 
 
 147J§ 
 
 A 
 
 41i 
 
 36JJ 
 
 41fJ 
 
 6. 
 
 ^n 
 
 2tW 
 
 HU 
 
 142iJ 
 
 ii 
 
 63i 
 
 27A 
 
 64/j 
 
 7. 
 
 n 
 
 2-^ 
 
 5H 
 
 110^, 
 
 ^ 
 
 64J 
 
 lis"* 
 
 65 
 
 8. 
 
 m 
 
 vft 
 
 S^c 
 
 92Ji 
 
 3% 
 
 41? 
 
 1918 
 
 42A', 
 
 9. 
 
 lii 
 
 ifi 
 
 3i 
 
 154^^ 
 
 ?j 
 
 20} 
 
 51iJ 
 
 21J 
 
 10. 
 
 m 
 
 2M 
 
 6Hi 
 
 129tJ 
 
 TV? 
 
 ^ 
 
 43sV 
 
 8i 
 
 11. 
 
 m 
 
 2il?- 
 
 lliVs 
 
 157A 
 
 A 
 
 &H 
 
 25Ji 
 
 66iJ 
 
 12. 
 
 i^h 
 
 Uh 
 
 4,»A 
 
 124H 
 
 ISJ 
 
 23i 
 
 32tJ 
 
 24JJ 
 
 13. 
 
 111 
 
 2|S 
 
 ^,h 
 
 110/^ 
 
 « 
 
 llj 
 
 42?J 
 
 12H 
 
 14. 
 
 in 
 
 l§ff 
 
 TA\ 
 
 167A 
 
 §s 
 
 31i 
 
 50#, 
 
 32,V 
 
 15. 
 
 Us 
 
 111 
 
 6i% 
 
 167} 1 
 
 J 
 
 35J 
 
 48jt 
 
 36a 
 
 16. 
 
 n 
 
 1* 
 
 4 
 
 156/, 
 
 f 
 
 21i 
 
 53ft 
 
 22iV 
 
 17. 
 
 m 
 
 2m 
 
 4fi 
 
 156J 
 
 i? 
 
 33? 
 
 48J 
 
 344} 
 
 18. 
 
 i/A 
 
 Uii 
 
 8i 
 
 121/j 
 
 n 
 
 20} 
 
 32H 
 
 21^. 
 
 19. 
 
 in 
 
 nu 
 
 lOsV 
 
 16053 
 
 e 
 
 66J 
 
 29M 
 
 57 J i 
 
 20. 
 
 Us 
 
 m 
 
 5J!i 
 
 1253i 
 
 i^r 
 
 21 1 
 
 40iJ 
 
 21i!t 
 
 21. 
 
 h'h 
 
 nu 
 
 10/j 
 
 147i| 
 
 A'l 
 
 41? 
 
 27A 
 
 421? 
 
 22. 
 
 U} 
 
 nn 
 
 m 
 
 91/s 
 
 483 
 
 m 
 
 14§t 
 
 39 J J 
 
 23. 
 
 VA 
 
 mu 
 
 nu 
 
 184ge 
 
 m 
 
 20? 
 
 54tJ 
 
 21 f\ 
 
 24. 
 
 'SI 
 
 u\ 
 
 8A 
 
 147JJ 
 
 i\\ 
 
 59J 
 
 26i8 
 
 60,% 
 
 25. 
 
 u. 
 
 im 
 
 8Tlff 
 
 137J 
 
 ii! 
 
 25i 
 
 32J 
 
 2Gfy 
 
ANSWERS. 
 
 69 
 
 COMMON FRACTIONS (page 123). 
 
 Exami 
 
 1 
 
 .1=5. 138 
 
 139 
 
 i40 
 
 5^ 
 
 141 
 
 i42 
 
 2H 
 
 143 
 
 it 
 
 144 
 
 6i 
 
 2 
 
 . fIJ 
 
 A 
 
 3?J 
 
 /s 
 
 %i 
 
 A 
 
 6? 
 
 3 
 
 . m 
 
 §1 
 
 2A 
 
 ^A 
 
 lAr 
 
 A 
 
 4A 
 
 4 
 
 a 
 
 fi 
 
 Sj'A 
 
 A 
 
 1ft 
 
 •A 
 
 H 
 
 5 
 
 . n 
 
 ^ 
 
 5ilJ 
 
 1 
 
 3|J 
 
 A 
 
 13A 
 
 6 
 
 m 
 
 M 
 
 ^/A'o 
 
 tJ 
 
 lyj 
 
 A 
 
 7i 
 
 7 
 
 i 
 
 4 
 
 3/A 
 
 J 
 
 lii 
 
 f 
 
 74 
 
 8 
 
 iVo-f 
 
 /j 
 
 V* 
 
 A 
 
 m 
 
 i 
 
 5f 
 
 9 
 
 T?A 
 
 § 
 
 m 
 
 1^ 
 
 m 
 
 A 
 
 194 
 
 10 
 
 ^T>S 
 
 h\ 
 
 m 
 
 m 
 
 sm 
 
 iJ 
 
 19^ 
 
 11 
 
 £^ 
 
 i'D 
 
 8:}h 
 
 i 
 
 4H 
 
 t 
 
 181 
 
 12 
 
 iHi 
 
 iV 
 
 m 
 
 t\ 
 
 m 
 
 J 
 
 6A 
 
 13 
 
 i 
 
 M 
 
 mn 
 
 A 
 
 m 
 
 A's 
 
 4A 
 
 14 
 
 ' m 
 
 tV 
 
 3«V 
 
 A 
 
 H 
 
 J 
 
 8A 
 
 15 
 
 ' ^A 
 
 A 
 
 m 
 
 ^5S 
 
 ?ti • 
 
 A 
 
 104 
 
 16 
 
 . hi 
 
 i 
 
 m 
 
 T% 
 
 m 
 
 A 
 
 17? 
 
 17 
 
 ' m 
 
 H 
 
 2A\ 
 
 1 
 
 m 
 
 J 
 
 154 
 
 18 
 
 • m 
 
 A 
 
 4fJ 
 
 /y 
 
 1^ 
 
 J 
 
 9 
 
 19 
 
 ' m 
 
 A 
 
 mi% 
 
 t'A 
 
 m 
 
 A 
 
 15ft 
 
 20 
 
 . m 
 
 U 
 
 u 
 
 tV^ 
 
 m 
 
 A 
 
 H 
 
 21 
 
 • m 
 
 i 
 
 5fy\ 
 
 A 
 
 lii 
 
 ft 
 
 14 
 
 22 
 
 . AV 
 
 i 
 
 2im 
 
 A 
 
 AV 
 
 iJ 
 
 8 
 
 23 
 
 . an 
 
 tVb 
 
 6M§J 
 
 ifr 
 
 Iff 
 
 41 
 
 20ft 
 
 24 
 
 • S\fj 
 
 i 
 
 m 
 
 TfT 
 
 3?^ 
 
 A 
 
 10 
 
 25 
 
 . U 
 
 A 
 
 mi 
 
 tMt 
 
 tV^j 
 
 Or 
 
 n 
 
 145 
 5t 
 
 3J 
 
 3ft 
 
 5ft 
 
 6^ 
 
 5A 
 
 3fi 
 
 1ft 
 
 IH 
 
 5ft 
 
 8H 
 
 1ft 
 
 2|4 
 
 3? 
 
 3ft 
 
 lii 
 
 m 
 
 5ft 
 
 7ft 
 lif 
 5tJ 
 2i"r 
 
 4ft 
 2|f 
 
70 
 
 DRILL EXERCISES. 
 
 
 COIIMON 
 
 PBACTIONS (page 123). 
 
 
 Examples. 
 
 146 
 
 147 
 
 148 
 
 149 
 
 150 
 
 151 
 
 152 
 
 1. 
 
 ll^ 
 
 94i 
 
 IH 
 
 ■h 
 
 tV 
 
 81 
 
 s 
 
 2. 
 
 Z(i2\ 
 
 202| 
 
 m 
 
 A 
 
 ^ 
 
 30 
 
 it 
 
 3. 
 
 110| 
 
 86,\ 
 
 m 
 
 ^(s's 
 
 A 
 
 76| 
 
 1 
 
 4. 
 
 346 
 
 2814 
 
 u\ 
 
 i^r 
 
 T«5 
 
 1424 
 
 i? 
 
 &. 
 
 600J 
 
 282J§ 
 
 n 
 
 if 
 
 T^ 
 
 98 
 
 ?? 
 
 6. 
 
 262* 
 
 18211 
 
 2A 
 
 T»3V 
 
 ^iT 
 
 108t 
 
 u 
 
 7. 
 
 156S 
 
 72ii 
 
 1^ 
 
 3% 
 
 /ir 
 
 120 
 
 u 
 
 8, 
 
 149 
 
 33J 
 
 1t¥5 
 
 if 
 
 A 
 
 144 
 
 § 
 
 9. 
 
 1,2m 
 
 126fj 
 
 2H 
 
 A 
 
 T?5 
 
 120 
 
 A 
 
 10. 
 
 968f 
 
 260JJ 
 
 IJI 
 
 US 
 
 1!^ 
 
 60A 
 
 A\ 
 
 11. 
 
 742| 
 
 347IJ 
 
 1#5 
 
 /^v 
 
 A 
 
 113i 
 
 m 
 
 12. 
 
 877J 
 
 141 
 
 6B 
 
 /s 
 
 SV 
 
 65A 
 
 A 
 
 13. 
 
 226i 
 
 130^ 
 
 lA 
 
 5% 
 
 A 
 
 68f 
 
 15 
 
 14. 
 
 908 
 
 36451 
 
 ll? 
 
 tf% 
 
 A 
 
 1134 
 
 AV 
 
 15. 
 
 979i 
 
 296?j 
 
 24 
 
 /s^ 
 
 3^ 
 
 154? 
 
 A\ 
 
 16. 
 
 1,221 
 
 122^ 
 
 3 
 
 i*r 
 
 A 
 
 1284 
 
 tV 
 
 17. 
 
 872J 
 
 165H 
 
 IH 
 
 A 
 
 tIj 
 
 974 
 
 1% 
 
 18. 
 
 523i 
 
 295J 
 
 2#ir 
 
 SViT 
 
 xliT 
 
 874 
 
 §? 
 
 19. 
 
 725J 
 
 328,', 
 
 4? 
 
 AV 
 
 I?T 
 
 133 
 
 e 
 
 20. 
 
 490i 
 
 191| 
 
 1* 
 
 T% 
 
 sV 
 
 1154 
 
 *? 
 
 21. 
 
 870f 
 
 332Jf 
 
 3^^ 
 
 Ti^ 
 
 lis 
 
 85t 
 
 A-V 
 
 22. 
 
 220t 
 
 68i§ 
 
 m 
 
 ^'s 
 
 T^r 
 
 lOStV 
 
 ii 
 
 23. 
 
 1,780 
 
 565^^j 
 
 54\ 
 
 T*ir 
 
 W 
 
 1064? 
 
 «S 
 
 24. 
 
 496J 
 
 225i 
 
 3^ 
 
 A 
 
 A 
 
 3024 
 
 ?* 
 
 25. 
 
 1,031J 
 
 282iV 
 
 ^^ 
 
 ^ 
 
 sfii 
 
 85A 
 
 tW 
 
ANSWERS. 
 
 71 
 
 154 
 
 m 
 
 HI 
 
 m 
 m 
 
 ^232 
 
 COMMON FRACTION'S (page 123). 
 
 155 
 JlJL 
 
 
 m 
 
 tY2 
 
 1/^5 
 
 \m 
 
 IJJt 
 
 i§« 
 
 lA 
 
 A 
 
 2t*2\ 
 
 3% 
 
 IM? 
 
 iie 
 
 2J§ 
 
 MJ 
 
 i4^ 
 
 !» 
 
 2ii 
 
 «J 
 
 ise 
 
 157 
 
 158 
 
 159 
 
 3i§ 
 
 H 
 
 1^ 
 
 80^ 
 
 11t¥5 
 
 IsViT 
 
 li¥ff 
 
 150} 
 
 3i?J 
 
 2¥i 
 
 SS 
 
 46| 
 
 3tt 
 
 ift'lT 
 
 «l 
 
 1451 
 
 2§l 
 
 •ft 
 
 li^'o 
 
 135H 
 
 3m 
 
 lA'-o 
 
 liJ 
 
 77it 
 
 m 
 
 5J3 
 
 m 
 
 61ii 
 
 m 
 
 //h 
 
 m 
 
 32H 
 
 m 
 
 let 
 
 m 
 
 107H 
 
 m 
 
 A".-^ 
 
 1t¥j 
 
 165}| 
 
 2fyv 
 
 ^h 
 
 m 
 
 241J 
 
 28JI 
 
 m 
 
 1t5s 
 
 129^5 
 
 2| 
 
 ■e^ 
 
 1^ 
 
 59^1 
 
 5A 
 
 m 
 
 HI 
 
 159ii 
 
 5if 
 
 J 
 
 It 
 
 162| 
 
 5 
 
 ii 
 
 li 
 
 103A 
 
 2§Jf 
 
 H 
 
 Is-o'? 
 
 106J 
 
 4M 
 
 l^^-o 
 
 1^/5 
 
 135/j 
 
 6g| 
 
 2?^ 
 
 lifl 
 
 201iJ 
 
 6#s 
 
 ?S 
 
 it 
 
 91|f 
 
 6H 
 
 l3'*\ 
 
 nn 
 
 256? 
 
 6§l 
 
 ItVt 
 
 ■i-^h 
 
 62tf 
 
 Sj-'A 
 
 2H 
 
 I5W5 
 
 31211 
 
 7A 
 
 Ifi 
 
 HI 
 
 1351 
 
 14* 
 
 1;^ 
 
 III 
 
 224f 
 
 160 
 
 HUH 
 
 Mm 
 
 99000 
 
 :^554 2j 
 
 3M-eH 
 
 2nm 
 3iMtfe 
 
72 
 
 DRILL EXERCISES. 
 
 COMMON FRACTIONS (page 123). 
 
 Examples. 
 1. 
 
 4. 
 
 5. 
 
 6. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 U. 
 12. 
 13. 
 14. 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 21. 
 22. 
 23. 
 24. 
 25. 
 
 161 
 
 162 
 
 iS3 
 
 iS-i 
 
 165 
 
 iffe 
 
 16J 
 
 m 
 
 lOftV 
 
 m 
 
 5i5 
 
 i§ 
 
 43Jf 
 
 n 
 
 16§ 
 
 Ij^iT 
 
 17? 
 
 ii% 
 
 23-,^ 
 
 20A 
 
 7 
 
 i«f 
 
 14e* 
 
 3iV 
 
 35i|J 
 
 14^ 
 
 22H 
 
 *a 
 
 22J 
 
 m 
 
 53JI 
 
 13/t 
 
 9iii 
 
 lij 
 
 29t'/5 
 
 3^ 
 
 73t 
 
 19iYt 
 
 14A^^ 
 
 111 
 
 25J 
 
 4tV 
 
 18115 
 
 22ift% 
 
 8ii\ 
 
 m 
 
 7S 
 
 IJJ 
 
 46A 
 
 48| 
 
 n 
 
 iU 
 
 1511 
 
 3A 
 
 203/j 
 
 38f 
 
 14 
 
 H 
 
 35^ 
 
 m 
 
 59ie 
 
 lOie 
 
 7^r 
 
 li% 
 
 2%\ 
 
 2t\% 
 
 43i?5 
 
 1011 
 
 ISA-j 
 
 IJI 
 
 17 
 
 mi 
 
 73i 
 
 57=jV 
 
 m 
 
 ItJs 
 
 3O5V 
 
 liiS 
 
 60A 
 
 24iS 
 
 4M\ 
 
 IJ 
 
 41H 
 
 9A 
 
 mi 
 
 25J 
 
 10? 
 
 lie 
 
 48J8 
 
 3U 
 
 1221 
 
 20iS 
 
 21 
 
 s 
 
 44ii 
 
 3,V 
 
 222 
 
 43i 
 
 14} 
 
 f 
 
 37i»s 
 
 2|3 
 
 T9iJ 
 
 29yj 
 
 m 
 
 i§j 
 
 36§ 
 
 35>r 
 
 97t% 
 
 12,V 
 
 25A 
 
 n 
 
 31i 
 
 3iV 
 
 187A 
 
 13Jlt 
 
 59=/A 
 
 li 
 
 22|i 
 
 2tH 
 
 59A 
 
 mi 
 
 10 
 
 H 
 
 sm 
 
 4iV 
 
 705 
 
 mu 
 
 19i?i 
 
 i^''^ 
 
 22* 
 
 IJJ 
 
 G51J 
 
 23A 
 
 25m 
 
 m 
 
 10| 
 
 1ft 
 
 300^J 
 
 12t«| 
 
 53tWiT 
 
 m 
 
 43}? 
 
 2,% 
 
 265 
 
 2034 
 
 176| 
 
 ^ 
 
 231 
 
 2A 
 
 77H 
 
 25JJ 
 
 18i 
 
 ?J! 
 
 30/r 
 
 in 
 
ANSWERS. 
 
 73 
 
 
 COMMON 
 
 FRACTIONS (page 123). 
 
 
 168 
 
 169 
 
 170 
 
 171 
 
 172 
 
 173 
 
 174 
 
 175 
 
 n 
 
 38A 
 
 211 
 
 34i 
 
 $ 67.50 
 
 li 
 
 $9.26 
 
 4ft 
 
 3A 
 
 14,^ 
 
 191J 
 
 191 
 
 126.00 
 
 IH 
 
 9.53 
 
 5ft 
 
 13f 
 
 34H 
 
 13i 
 
 29i 
 
 28.00 
 
 1? 
 
 5.48 
 
 n 
 
 m 
 
 49iJ 
 
 21ft 
 
 37J 
 
 117.00 
 
 1ft 
 
 16.47 
 
 5hh 
 
 12A 
 
 45ft 
 
 56 
 
 42 
 
 92.40 
 
 2ft 
 
 7.39 
 
 ^i'A 
 
 17A 
 
 51 
 
 13J 
 
 43i 
 
 44.57 
 
 m 
 
 13.37 
 
 m 
 
 17H 
 
 48 
 
 28 
 
 38 
 
 46.25 
 
 2ft 
 
 5.76 
 
 SiVt 
 
 40J 
 
 4315 
 
 lift 
 
 29f 
 
 10.89 
 
 44 
 
 2.57 
 
 ift 
 
 32} 
 
 46ft 
 
 2.^ 
 
 43* 
 
 53.67 
 
 9f 
 
 7.87 
 
 2ft 
 
 lOH 
 
 29,V 
 
 90 
 
 34f 
 
 107.50 
 
 m 
 
 3.87 
 
 4ft% 
 
 9ii 
 
 505 
 
 73i 
 
 49 
 
 206.50 
 
 2ft 
 
 12.53 
 
 6}i« 
 
 15S 
 
 31ft 
 
 27H 
 
 38f 
 
 92.59 
 
 6| 
 
 16.97 
 
 3e 
 
 19iS 
 
 31ft 
 
 12J 
 
 251 
 
 14.38 
 
 m 
 
 2.68 
 
 m 
 
 13|i 
 
 49i 
 
 28 
 
 44| 
 
 102.86 
 
 m 
 
 13.20 
 
 4/ft 
 
 16|S 
 
 56}S 
 
 24 
 
 46f 
 
 98.00 
 
 Hi 
 
 19.60 
 
 4ft«r 
 
 35 
 
 48J 
 
 27i 
 
 44 
 
 48.40 
 
 10 
 
 8.47 
 
 2 
 
 26Ji 
 
 45J 
 
 39f 
 
 44J 
 
 54.78 
 
 5ft 
 
 4.79 
 
 2111 
 
 g^'j 
 
 35i^ 
 
 18i 
 
 32i 
 
 95.33 
 
 m 
 
 15.66 
 
 m 
 
 llA 
 
 55ft 
 
 22| 
 
 49f 
 
 163.40 
 
 2ft 
 
 49.02 
 
 5}fi 
 
 15§ 
 
 42 
 
 16i 
 
 33 
 
 47.14 
 
 m 
 
 8.49 
 
 3tB7 
 
 8sl 
 
 40f 
 
 34f 
 
 45J 
 
 220.00 
 
 2«i 
 
 23.83 
 
 6iM 
 
 ISs's 
 
 37ig 
 
 14ig 
 
 30 
 
 44.59 
 
 3ft 
 
 11.29 
 
 2*1 
 
 Vo 
 
 4Tft 
 
 33ft 
 
 50f 
 
 248.89 
 
 3ft 
 
 48.53 
 
 6fS 
 
 13iJ 
 
 71ft 
 
 16ft 
 
 46i 
 
 102.00 
 
 2ft 
 
 75.89 
 
 4ft% 
 
 9i?, 
 
 36M 
 
 315 
 
 41| 
 
 184.89 
 
 3§i 
 
 25.42 
 
 5ft'. 
 
 176 
 
 45 
 
 19ft 
 21 
 
 52 
 
 im 
 
 18ft 
 
 m 
 2 
 
 2f5 
 7ft^r 
 181? 
 4|f 
 
 61? 
 
 lot? 
 
 7,»ft 
 
 2t 
 
 3iii 
 161t 
 15?i 
 
 7ft 
 14|| 
 
 544 
 13ft 
 12if 
 
 m 
 
74 
 
 DRILL EXERCISES. 
 
 
 DECTMAI 
 
 1 FRACTIONS (page 135). 
 
 Examples. 
 
 179 
 
 180 
 
 iSi 
 
 182 
 
 183 
 
 1. 
 
 25.002 
 
 ^ 
 
 ^QOO 
 
 0.056 
 
 25.027 
 
 2. 
 
 0.0206 
 
 iga 
 
 m 
 
 0.5937... 
 
 25.7706 
 
 3. 
 
 700.8 
 
 m 
 
 AVlT 
 
 0.0556 
 
 701.1504 
 
 4. 
 
 0.00404 
 
 m 
 
 ?i^ 
 
 0.0015 
 
 1.01404 
 
 5. 
 
 50.5050 
 
 ^50 
 
 1^5^^ 
 
 0.575 
 
 300.505 
 
 6. 
 
 8.96 
 
 T^Viy 
 
 i^a 
 
 0.0025 
 
 8.9608 
 
 7. 
 
 5,002.05 
 
 -¥oV 
 
 f 
 
 0.1481... 
 
 5,018.055 
 
 8. 
 
 0.00016 
 
 &i)-jOJ) 
 
 Tk 
 
 0.8125 
 
 8,000.00016 
 
 9. 
 
 0.000112 
 
 ¥ 
 
 II 
 
 0.2312... 
 
 5.600112 
 
 10. 
 
 2.25 
 
 \U 
 
 £^1 
 
 0.0703... 
 
 2.953 
 
 11. 
 
 701.6 
 
 VsV 
 
 ¥/ 
 
 0.064 
 
 720.964 
 
 12. 
 
 2.206 
 
 ^frs 
 
 w 
 
 1.0625 
 
 2.2576 
 
 13. 
 
 0.0936 
 
 m 
 
 «00i 
 
 0.3809... 
 
 1.8256 
 
 14. 
 
 54.054 
 
 aiijifl 
 
 3fMu 
 
 0.9166... 
 
 8,070.054 
 
 15. 
 
 806.001047 
 
 M 
 
 !me 
 
 0.5555... 
 
 810.951047 
 
 16. 
 
 500.26 
 
 iJff 
 
 v#- 
 
 0.4666... 
 
 500.272 
 
 17. 
 
 0.001000 
 
 >AW 
 
 T^Siiy 
 
 0.0378... 
 
 12.008 
 
 18. . 
 
 0.000029 
 
 ¥/ 
 
 m% 
 
 8.2272... 
 
 45.900029 
 
 19. 
 
 8.46291 
 
 fSSJ 
 
 m^ 
 
 0.6785... 
 
 17.08391 
 
 20. 
 
 0.511 
 
 50000 
 
 V- 
 
 0.0769... 
 
 0.51662 
 
 21. 
 
 4,271.0004271 
 
 liyi.a 
 
 yei 
 
 0.1904... 
 
 5,273.0004271 
 
 n. 
 
 68,000.4^ 
 
 V 
 
 nih 
 
 0.2941... 
 
 68,002.325 
 
 23. 
 
 0.122 
 
 jWiT 
 
 ip 
 
 0.2857... 
 
 0.244 
 
 24. 
 
 8.04^ 
 
 ?8J 
 
 yij^yiy 
 
 2.9473... 
 
 9.057^ 
 
 25. 
 
 500.0^ 
 
 VoV 
 
 ten 
 
 0.0875 
 
 508.40^ 
 

 ANSWERS. 
 
 ,7^ 
 
 DECIMAL FRACTIONS (page 135) 
 
 184 
 
 185 
 
 186 
 
 5,025.002 
 
 5,025.027 
 
 24.977 
 
 1.6686 
 
 27.4186 
 
 25.7294 
 
 701.457 
 
 701.8074 
 
 700.4496 
 
 0.00654 
 
 1.01654 
 
 1.00596 
 
 50.51 
 
 300.51 
 
 199.495 
 
 456.96 
 
 456.9608 
 
 8.9592 
 
 5,004.55 
 
 5,020.555 
 
 4986.045 
 
 0.00816 
 
 8,000.00816 
 
 7999.99984 
 
 1.680112 
 
 7.280112 
 
 5.599888 
 
 609.25 
 
 609.958 
 
 1.542 
 
 719.68 
 
 739.044 
 
 682.236 
 
 11.366 
 
 11.4176 
 
 2.1544 
 
 800.1936 
 
 801.9256 
 
 1.6384 
 
 54.0592 
 
 8,070.0592 
 
 7,961.946 
 
 808.077347 
 
 813.027347... 
 
 801.051047 
 
 518.525 
 
 518.537 
 
 500.248 
 
 0.0111 
 
 12.0181 
 
 12.006 
 
 3.071229 
 
 48.971229 
 
 45.899971 
 
 88.52291 
 
 97.14391 
 
 0.15809 
 
 5.911 
 
 5.91662 
 
 0.50538 
 
 4,271.6809271 
 
 5,273.6809271 
 
 3,269.0004271 
 
 68,004.521 
 
 68,006.396 
 
 67,998.575 
 
 24.522 
 
 24.644 
 
 0. 
 
 8.0430^ 
 
 9.0580t 
 
 7.027^ 
 
 501.1371 
 
 509.472^ 
 
 491.731 
 
76 
 
 DRILL EXERCISES. 
 
 
 DECIMAI 
 
 J FRACTIONS (page 135). 
 
 Examples. 
 1. 
 
 187 
 
 4,999.975 
 
 188 
 
 4,974.998 
 
 189 
 
 0.62505 
 
 2. 
 
 24.102 
 
 1.6274 
 
 0.53045 
 
 3. 
 
 0.3066 
 
 700.143 
 
 . 245.56032 
 
 1. 
 
 1.0075 
 
 0.00154 
 
 0.0040804 
 
 5. 
 
 249.995 
 
 50.5 
 
 12,626.25 
 
 6. 
 
 447.9992 
 
 439.04 
 
 0.007168 
 
 7. 
 
 13.505 
 
 4,999.55 
 
 80,057.81025 
 
 8. 
 
 7,999.992 
 
 0.00784 
 
 1.28 
 
 9. 
 
 3.92 
 
 1.679888 
 
 0.0006272 
 
 10. 
 
 606.292 
 
 604.75 
 
 1.593 
 
 11. 
 
 1.284 
 
 683.52 
 
 13,585.7824 
 
 12. 
 
 9.1084 
 
 6.954 
 
 0.1138296 
 
 13. 
 
 798.368 
 
 800.0064 
 
 0.1621152 
 
 14. 
 
 8,015.9948 
 
 54.0488 
 
 433,296.864 
 
 15. 
 
 2.8737 
 
 803.924747 
 
 3,989.70518265 
 
 16. 
 
 18.253 
 
 481.995 
 
 6.00312 
 
 17. 
 
 11.9969 
 
 0.0091 
 
 0.012007 
 
 18. 
 
 42.8288 
 
 3.071171 
 
 0.0013311 
 
 19. 
 
 71.439 
 
 71.59709 
 
 72.95874711 
 
 20. 
 
 5.39438 
 
 4.889 
 
 0.00287182 
 
 21. 
 
 1,001.3195 
 
 4,270.3199271 
 
 4,279,542.4279542 
 
 22. 
 
 2.196 
 
 67,996.379 
 
 127,500.84375 
 
 23. 
 
 24.278 
 
 24.278 
 
 0.014884 
 
 24. 
 
 1.0148 
 
 8.0426t 
 
 8.1635 
 
 25. 
 
 7.263$ 
 
 498.995J 
 
 4,167.777f^ 
 

 ANSWERS. 
 
 
 DECIMAL FKACTIONS (page 135). 
 
 190 
 
 191 
 
 192 
 
 125 
 
 125,010 
 
 0.000999... 
 
 42.436 
 
 0.0339488 
 
 1,250 
 
 0.2302128 
 
 460.4256 
 
 0.0005 
 
 0.002525 
 
 0.0000101 
 
 250 
 
 1.25 
 
 0.252525 
 
 4.950004... 
 
 0.3584 
 
 4,014.08 
 
 0.000089... 
 
 40.0125 
 
 12,505.125 
 
 0.003199... 
 
 64 
 
 0.00000128 
 
 50,000,000 
 
 9.408 
 
 0.00018816 
 
 50,000 
 
 429.756 
 
 1,365.75 
 
 0.314666...' 
 
 350.10112 
 
 12,684.928 
 
 0.027599... 
 
 0.472656 
 
 20.20696 
 
 0.023390... 
 
 1,385.7732 
 
 74.88936 
 
 18.504273... 
 
 41.6832 
 
 0.2810808 
 
 148.296148... 
 
 10.277685 
 
 1,673.4999738861 
 
 0.006141... 
 
 0.219180 
 
 9,137.2489 
 
 0.000023... 
 
 0.1212707 
 
 0.0000101 
 
 12,007 
 
 140.96808 
 
 0.0000890648 
 
 1,582,758.620689 
 
 690.19726 
 
 677.5405746 
 
 1.018680... 
 
 0.030348 
 
 2.7594 
 
 0.010998... 
 
 681.861 
 
 2,906.41579064155 
 
 0.234605... 
 
 7.633125 
 
 276,829.83195 
 
 0.000027... 
 
 2.9768 
 
 2.9768 
 
 1 
 
 0.000203 
 
 0.001608f 
 
 0.126198... 
 
 8.92619 
 
 535.5714 
 
 0.016666... 
 
 77 
 
78 
 
 DRILL EXERCISES. 
 
 
 DECIMAL FRACTIONS (page 135). 
 
 Examples. 
 1. 
 
 193 
 
 200,000 
 
 194 
 
 199.984... 
 
 195 
 
 5,000.50002 
 
 2. 
 
 0.064 
 
 80 
 
 259.148206 
 
 3. 
 
 1.875 
 
 0.000937... 
 
 11.169 
 
 4. 
 
 0.002475... 
 
 0.618811... 
 
 10.1025404 
 
 5. 
 
 0.00002 
 
 0.000099... 
 
 2,500.51005 
 
 6. 
 
 560,000 
 
 50 
 
 448.0976 
 
 7. 
 
 0.156201... 
 
 0.000499... 
 
 212.5705 
 
 8. 
 
 0.000001 
 
 50 
 
 80,000.0080016 
 
 9. 
 
 0.3 
 
 15,000 
 
 57.68000112 
 
 10. 
 
 857.344632... 
 
 269.777777... 
 
 614.1025 
 
 11. 
 
 0.933691... 
 
 0.025769... 
 
 218.736 
 
 12. 
 
 177.519379... 
 
 4.152311... 
 
 9.69806 
 
 13. 
 
 461.951501... 
 
 8,548.076923... 
 
 817.420936 
 
 14. 
 
 0.0000006... 
 
 0.000096... 
 
 80,160.54574 
 
 15. 
 
 0.419454... 
 
 0.002576... 
 
 59.63631047 
 
 16. 
 
 1,522.083333... 
 
 0.036511... 
 
 23.3876 
 
 17. 
 
 0.000841... 
 
 10.1 
 
 120.08011 
 
 18. 
 
 0.066910... 
 
 105,903.448275... 
 
 462.07120029 
 
 19. 
 
 9.286625... 
 
 9.460102... 
 
 166.3546291 
 
 20. 
 
 960.854092... 
 
 10.567514... 
 
 5.46131 
 
 21. 
 
 0.000679... 
 
 0.000159... 
 
 10,063.390504271 
 
 n. 
 
 2.1712 
 
 0.000059... 
 
 702.8255 
 
 23. 
 
 200 
 
 200 
 
 25.62122 
 
 24. 
 
 0.000197... 
 
 0.000002... 
 
 10.2304^ 
 
 25. 
 
 0.128502... 
 
 0.002141... 
 
 89.4165... 
 

 ANSWERS. 
 
 79 
 
 COMPOUNE 
 
 NUMBERS (page 
 
 171). 
 
 196 
 
 197 
 
 198 
 
 10,000 lb. 
 
 120 oz. 
 
 86,854 oz. 
 
 11,200 lb. 
 
 543 lb. 
 
 2,079 lb. \ 
 
 1,200 pwt. 
 
 234 pwt. 
 
 870 pwt. 
 
 26,400 ft. 
 
 16 ft. 
 
 572 ft. 
 
 512,000 sq. rd. 
 
 641 sq. yd. 
 
 7,689 sq. rd. 
 
 233,280 cu. in. 
 
 24,521 cu. in. 
 
 307,362 cu. in. 
 
 640 cu. ft. 
 
 302 cu. ft. 
 
 11,884 cu. ft. 
 
 160 gi. 
 
 7pt. 
 
 37 pt. 
 
 320 pt. 
 
 79 pt. 
 
 170 qt. 
 
 108,000^ 
 
 5,894'' 
 
 1,008,148" 
 
 43,800 hours. 
 
 8,355 hours. 
 
 17,706 hours. 
 
 2,635,200 min. 
 
 1,270 min. 
 
 11,285 min. 
 
 990 in. 
 
 33 in. 
 
 3,110 in. 
 
 24,200 sq. yd. 
 
 11,774 sq. in. 
 
 735,345 sq. in. 
 
 - 80 pt. 
 
 7gi. 
 
 54 gi. 
 
 18,000'^ 
 
 4,138'' 
 
 67,014" 
 
 2,400 gr. 
 
 551 gi. 
 
 5,732 gi. 
 
 180 in. 
 
 27 in. 
 
 196 in. 
 
 1,3611 sq. ft. 
 
 89 sq. ft. 
 
 53,001 sq. in. 
 
 40 gi. 
 
 7gi. 
 
 22 gi. 
 
 50,400 min. 
 
 1,421 min. 
 
 642 hours. 
 
 6,480 sq. in. 
 
 3,916 sq. in. 
 
 5,652 sq. in. 
 
 432,000 sec. 
 
 2,898 sec. 
 
 244,542 min. 
 
 720 sq. in. 
 
 25,740 sq. in. 
 
 146,998 sq. in. 
 
 720 units. 
 
 250 
 
 1,197 
 
80 
 
 DRILL EXERCISES. 
 
 
 COMPOUND ] 
 
 erUMBERS (page 171). 
 
 Examples^ 
 1. 
 
 199 
 
 200 
 66 T. 687 lb. 
 
 2. 
 
 nu T. 
 
 59T. 4cwt. 2qr. 231b. 
 
 3. 
 
 1341 lb. 
 
 552 lb. 10 oz. 7 pwt. 
 
 4. 
 
 ^^^ m. 
 
 25m. 41 rd. 3yd. lift. 
 
 5. 
 
 3?f§ksq.ni. 
 
 1 sq. m. 189 A. 47 sq. rd. 
 
 6. 
 
 Tfn?cu.yd. 
 
 2 cu. yd. 22 cu. ft. 1,359 cii. in. 
 
 7. 
 
 25§i cd. 
 
 l,036cd. 4cd. ft. 15cu. ft. 
 
 8. 
 
 102f gal. 
 
 4,146gal. Iqt. Ipt. 3gi. 
 
 9. 
 
 51 tV bu. 
 
 2,073 bu. 7 qt. 1 pt. 
 
 10. 
 
 /A^(j circ. 
 
 6 circ. 51° 27'. 
 
 11. 
 
 !^rW c. y. 
 
 15y. 53 d. 15h. 
 
 12. 
 
 T^WffTT 1- y. 
 
 92d. 3h. 27min. 
 
 13. 
 
 16^ e rd. 
 
 2 m. 30 rd. 2 ft. 3 in. 
 
 14. 
 
 i^i^iV A. 
 
 27 A. 66 sq. rd. 10^ sq. yd. 
 
 15. 
 
 2051 pk. 
 
 2,073 bu. 7 qt. 1 pt. 
 
 16. 
 
 fU° 
 
 36° 51' 27". 
 
 17. 
 
 6Hi oz. 
 
 23 lb. oz. 8 pwt. 15 gr. 
 
 18. 
 
 m yd. 
 
 2 m. 30rd. 2 ft. 3 in. 
 
 19. 
 
 12^fi|^sq.rd. 
 
 3A. 7sq.rd. 11 sq. yd. 2i sq. ft 
 
 20. 
 
 410^ qt. 
 
 4,146 gal. 1 qt. 1 pt. 3 gi. 
 
 21. 
 
 ^^ week. 
 
 13 w. Id. 3h. 27min. 
 
 22. 
 
 2HI sq. yd. 
 
 3sq. rd. 11 sq. yd. 5 sq. ft. 99 sq. in 
 
 23. 
 
 i^Uh d. 
 
 1 d. 12 h. 51 m. 27 8. 
 
 24. 
 
 22iil sq. ft. 
 
 3sq.rd. llsq.yd. 5 sq.ft. 99 sq. in 
 
 25. 
 
 222J gross. 
 
 76 gr. gr. 9 gr. 5 doz. 3. 
 
ANSWERS. 
 
 81 
 
 33,931y7^ cu. in. 
 
 93^V cu. ft. 
 
 23x\gi. 
 
 46A pt. 
 
 15,709^^' 
 
 6,3701^ hours. 
 
 383,301^T min. 
 
 144 in. 
 
 3,520 sq. rd. 
 
 11/t pt. 
 2,618t2j-/' 
 
 349Tir gr. 
 
 26Tft: in. 
 
 198 sq. ft. 
 
 7,330|^ min. 
 942y\ sq. in. 
 62,836y\ sec. 
 104j\ sq. in. 
 104^. 
 
 202 
 925.4 lb. 
 
 COMPOUND NUMBERS (page 171). 
 
 201 
 l,454y\ lb. 
 
 l,629xV lb. 
 
 174y\ pwt. 
 
 3;840 ft. 
 
 74,472y\ sq. rd. 
 
 1,036.448 lb. 
 
 111.048 pwt. 
 
 2,443.056 ft. 
 
 47,380.48 sq. rd. 
 
 21,587.7312 cu. in. 
 
 59.2256 cu. ft. 
 
 14.8064 gi. 
 
 29.6128 pt. 
 
 9,994.32' 
 
 4,053.252 hours. 
 
 243,861.408 min. 
 
 91.6146 in. 
 
 2,239.468 sq. yd. 
 
 7.4032 pt. 
 
 1,665.72" 
 
 222.096 gr. 
 
 16.6572 in. 
 
 125.97001 sq. ft. 
 
 3.7016 gi. 
 
 4,664.016 min. 
 
 599.6592 sq. in. 
 
 39,977.28 sec. 
 
 66.6288 sq. in. 
 
 203 
 
 m^i T. 
 
 ■^^ cwt. 
 
 fib. 
 
 |rd. 
 
 mi cu. yd. 
 §1 cd. 
 I gal. 
 tV ^". 
 
 37 o 
 
 xlk c. y. 
 %m sq- rd. 
 
 |qt. 
 
 yr 
 
 I yd. 
 
 ill sq. yd. 
 
 fqt. 
 
 f|w. 
 
 M sq. yd. 
 
 hU d. 
 
 mU sq. rd. 
 
 A gross. 
 
82 
 
 DRILL EXERCISES. 
 
 204 
 0.3128... T 
 
 COMPOUND NUMBERS (page 171). 
 205 
 
 0.6375 1.T. 
 
 0.6875 lb. 
 0.6272... m. 
 0.8750... sq.m. 
 0.1674... cu.yd. 
 0.3593... cd. 
 0.75 gal. 
 0.7812... bu. 
 0.2518... circ. 
 
 0.0123., 
 
 0.1796. 
 
 0.9698., 
 
 0.1827. 
 
 0.3125 pk. 
 
 0.8625^ 
 
 0.8416., 
 
 0.1292., 
 
 0.9733 
 
 0.25 qt. 
 
 0.5 wk. 
 
 0.0092... sq. yd. 
 
 0.5479... d. 
 
 0.0169... sq. rd. 
 
 0.5972... gro. 
 
 c.y. 
 
 i.y. 
 
 m. 
 A. 
 
 lb. 
 m. 
 sq. rd. 
 
 II 
 
 mu 
 
 m 
 
 i 
 
 m 
 
 f947 
 
 Mi 
 
 an ^7 
 7T5(JJ?5 
 
 
 1782 
 
 206 
 7T. 611b. lOoz. 
 
 i-n 
 
 61. T. 16cwt. 181b. 
 
 14 lb. 3 oz. 9 pwt. 
 
 10 m. 236 rd. 2 yd. ^ ^ 
 
 1 sq. m. 608 A. 15 sq. rd. 4 sq. 
 
 15 cu. yd. 7 cu. ft. 1007 cu. in. 
 
 195 cd. 4 cd. ft. 8 cu. ft. 
 
 31 gal. 1 qt. 
 
 16 bu. 1 pk. 2 qt. 1 pt. 
 
 2 circ. 12^20' 42'^ 
 
 5y. 360d. 9h. 
 
 ll.y. 74d. Ilh.l5m. 
 
 7 m. 6 rd. 1 yd. 11 in. 
 
 6 A. 48 sq. rd. 9 sq. yd. 83 sq. in. 
 
 8 pk. 2 qt. 1 gi. 
 
 74° Sr 37". 
 
 61b. 11 oz. 3 pwt. 19 gr. 
 
 3 m. 42 rd. 2 yd. 2 ft. 1 in. 
 
 7 sq. rd. 19 sq. yd. 6 sq. ft. 81 sq. 
 
 1 gal. 2 qt. 1 pt. 3 gi. ^"^* 
 
 32w. 3d. 5h. 41m. 
 
 28 sq. yd. 3 sq. ft. 76 sq. in. 
 
 ly. 89d. 9h. 39m. 18s. 
 
 15 sq. rd. 115 sq. ft. 28 sq. in. 
 
 1 gr. gr. 10 gr. 7 doz. 9. 
 
ANSWERS. 
 
 83 
 
 Examples. 
 1. 
 
 COMPOUND NUMBERS (page 171). 
 
 207 208 
 
 3 T. 285 lb. 8^ oz. 1164 lb. U oz. 
 
 1 1. T. 7 cwt. 15 lb. 
 
 4 lb. 12f pwt. 
 
 171 rd. 4 yd. 1^^ ft. 
 
 322 A. 54f rd. 
 
 7 cu. yd. 765f cu. in. 
 
 93 cd. 2 cd. ft. 2f cu. ft. 
 
 5 gal. If gi. 
 
 5 bu. 2 pk. 7f qt. 
 
 1 circ. 74^ 19' 36t''. 
 
 2 c. y. 164 d. ^ h. 
 164 d. 16 h. 39f m. 
 
 16 rd. 2 ft. 2f in. 
 
 [sq. in. 
 
 87 sq. rd. 89 sq. ft. 55f 
 1 pk. 2 qt. n gi. 
 
 19^ 2' 36«-". 
 
 1 lb. 7 pwt. 9^ gr. 
 
 5 yd. 2 ft. 7f in. 
 
 [in 
 I sq. rd. 23 sq. yd. 5 sq. ft. 70A sq 
 
 3 qt. n gi. 
 4 w. 1 d. 18 li. 
 
 [in 
 
 4 sq. yd. 7 sq. ft. 15^ sq. 
 170 d. 5 h. m\ m. 
 
 Tsq. ir> 
 
 3 sq. rd. 204 sq. ft. 71^ 
 8 gr. 8 doz. lOf 
 
 16 cwt. 1 qr. 18.616 lb. 
 
 1 lb. 6 oz. 12.816 pwt. 
 
 186 rd. 0.952 ft. 
 
 370 A. 30 sq. rd. 8.84 sq. yd. 
 
 1 cu.yd. 2 cu. ft. 1,394.8304 cu. in. 
 
 2 cd. 7 cd. ft. 8.0352 cu. ft. 
 
 1 gal. 1 qt. 1 pt. 2.5088 gi. 
 
 1 bu. 3 pk. 2 qt. 0.0176 pt. 
 
 209° 51' 40.4''. 
 
 ly, 194 d. 5.78411. 
 
 212 d. 13 h. 49.936 m. 
 
 4 yd. 3.5232 in. 
 
 [sq. in. 
 
 92 sq. rd. 25 sq. yd.4 sq. ft. 124.976 
 
 5 qt. 1 pt. 0.0176 gi. 
 
 1° 43' 40.24". 
 
 1 oz 14 pwt. 12.632 gr. 
 
 1 yd. 11.8224 in. 
 
 27 sq. yd. 3.4694 sq. ft. 
 
 1 qt. 3 6272 gi. 
 
 5 d. 51.272 m. 
 
 3 sq. yd. 5 sq. ft. 57.6064 sq. in. 
 
 14 h. 41 m. 11.76 s. 
 
 179 sq. ft. 47.2896 sq. in. 
 
 2 gr. 3 doz. 9.2896. 
 
84 
 
 DRILL EXERCISES. 
 
 Ex. 
 1. 
 
 2. 
 
 4. 
 
 5. 
 
 6. 
 
 7. 
 
 8. 
 
 9. 
 10. 
 11. 
 12. 
 13. 
 II. 
 15. 
 16. 
 17. 
 18. 
 19. 
 20. 
 21. 
 22. 
 23. 
 2i. 
 25. 
 
 COMPOUND NUMBERS (page 171). 
 
 210 
 
 1 T. 1,197 lb. 6 oz. 
 41.T. 14cwt. 211b. 
 
 209 
 
 2 T. 1420 lb. 14 oz. 
 
 13 cwt. 2 qr. 24 lb. 
 
 2 lb. 7 oz. 16 pwt. 
 
 33 rd. 3 yd. 2 ft. 6 in. 
 
 48 A. 6 sq. rd. 26 sq. yd. 2 sq. ft. 36 sq. in. 
 
 6 cu. yd. 1 cu. ft. 1,177 cu. in. 
 
 90 cd. 3 cd. ft. 14 cu. ft. 
 
 3 gal. 3 qt. 
 
 4 bu. 2 qt. 1 pt. 
 278^ 24' 14". 
 
 1 y. 24 d. 15 h. 
 6 d. 22 h. 55 m. 
 15 rd. 8 ft. 11 in. 
 
 18 sq. rd. 13 sq. yd. 7 sq. ft. 43 sq. in. 
 
 5 qt. 1 pt. 3 gi. 
 17' 27' 56". 
 
 10 oz. 15 pwt. 21 gr. 
 
 4 yd. 2 ft. 1 in. 
 
 31 sq. yd. 9 sq. in. 
 
 1 qt. 1 pt. 3 gi. 
 
 3 w. 4 d. 18 h. 19 m. 
 
 1 sq. yd. 3 sq. ft. 8 sq. in. 
 
 169 d. 18 h. 53 m. 42 s. 
 
 3 sq. rd. 25 sq. ft. 46 sq. in. 
 
 6 gr. 6 doz. 11. 
 
 6 lb. 15 pwt. 
 
 10 m. 166 rd. 1 ft. 
 
 1 sq. m. 511 A. 155 sq. rd. 
 
 1 cu. yd. 15 cu. ft. 1,122 cu. in. 
 
 7 cd. 4 cd. ft. 2 cu. ft. 
 
 21 gal. 1 pt. 
 
 4 bu. 1 pk. 7 qt. 
 
 170" 37' 32". 
 
 361 d. 18 h. 
 
 ll.y. 57d.21h. 55 m. 
 
 6 m. 294 rd. 3 yd. 1 ft. 10 in. 
 
 [in. 
 
 5 A. 10 sq. rd. 132 sq. ft. 27 sq. 
 
 6 pk. 3 qt. 1 pt. 2 gi. 
 
 36=" 14' 51". 
 
 4 lb. 10 oz. 3 pwt. 4 gr. 
 
 3m.40rd. 2 yd. 2iii. 
 
 - I ill. 
 
 4 sq. rd. 18 sq. yd. 7 sq. li. -7 
 
 Ipt. 
 
 24 w. 4 d. 18 h. 
 
 16 sq. yd. 5 sq. ft. 120 sq. in. 
 
 114d. 17h. 27 m. 
 
 7 sq. rd. 72 sq. ft. 116 s<i. in. 
 
 4 gr. 3 doz. 5. 
 

 ANSWERS. 
 
 COMPOUND NUMBERS (page 171). 
 
 Examples. 
 
 211 
 
 1. 
 
 25 T. 1,754 lb. 8 oz. 
 
 2. 
 
 33 1. T. 16 cwt. 2 qr. 
 
 3. 
 
 5S lb. 1 oz. 10 pwt. 
 
 4. 
 
 63 m. 244 rd. 2 yd. 
 
 5. 
 
 11 sq. m. 160 A. 24 sq. rd. 
 
 6. 
 
 49 cii. yd. 216 cu. in. 
 
 7. 
 
 602 cd. led. ft. 4cu.ft. 
 
 8, 
 
 154 gal. 2 qt. 
 
 9. 
 
 58 bu. 2 pk. 6 qt. 
 
 10. 
 
 7 circ. 184°. 
 
 11. 
 
 18 c. y. 27 d. 
 
 12. 
 
 71.y.28d. 12h. 
 
 13. 
 
 41 m. 262 rd. 1 yd. 
 
 14. 
 
 31 A. 15 sq. rd. 123 sq. ft. 108 sq. in. 
 
 15. 
 
 43 pk. 7 qt. 
 
 16. 
 
 329° 10^ 30^'. 
 
 17. 
 
 35 lb. 12 pwt. 
 
 18. 
 
 18 m. 248 rd. 1 yd. 
 
 19. 
 
 35 sq. rd. 25 sq. yd. 3 sq. ft. 108 sq. in. 
 
 20. 
 
 4 gal. 3 qt. 1 pt. 
 
 21. 
 
 171 w. 
 
 22. 
 
 4 sq. rd. 5 sq. yd. 72 sq. in. 
 
 23. 
 
 4y. 247d. 6h. 54 m. 
 
 24. 
 
 66 sq. rd. 3 sq. yd. 108 sq. in. 
 
 25. 
 
 6 gr. gr. 3 gr. 7 doz. 
 
 85 
 
86 
 
 DRILL EXERCISES. 
 
 
 COMPOUND NUMBERS (page 171). 
 
 Examples. 
 
 212 
 
 213 
 
 1. 
 
 112 lb. 8 oz. 
 
 8621b. 9^ oz. 
 
 2. 
 
 31.T. 12cwt. 2qr.251b. 
 
 11 cwt. 1 qr. 2 lb. 12| oz. 
 
 3. 
 
 14 lb. 7 oz. 10 pwt. 
 
 11 oz. 12 pwt. 12 gr. 
 
 4. 
 
 14 rd. 3 yd. 
 
 1 m. 20 rd. 1 ft. 2f in. 
 
 5. 
 
 3*1 sq. rd. 29 sq. yd. 6 sq. ft. 108 sq. in 
 
 120 A. 12 sq. yd. 129| sq. in. 
 
 6. 
 
 7 cu. yd. 23 cii. ft. 1,479 cu. in. 
 
 22 cu. ft. 90 cu. in. 
 
 7. 
 
 35 cd. 3 cd. ft. 2 cu. ft. 
 
 10 cd. 4f cu. ft. 
 
 8. 
 
 13 gal. 1 pt. 
 
 2 gal. 2 qt. 2f gi. 
 
 9. 
 
 18 bu. 2 pk. 1 pt. 
 
 3 pk. 7 qt. 2f gi. 
 
 10. 
 
 24° 33' 30''. 
 
 45° 4'. 
 
 11. 
 
 14y. Hid. 21h. 
 
 109 d. 22 h. 48 m. 
 
 12. 
 
 13 d. 5 h. 30 m. 
 
 43 d. 4 h. 12 m. 
 
 13. 
 
 2 rd. 2 yd. 2 ft. 3 in. 
 
 223 rd. 7i in. 
 
 14. 
 
 4 sq. rd. 15 sq. yd. 2 sq. ft. C6 sq. in. 
 
 82 sq. rd. 251 sq. ft. 90 sq. in 
 
 15. 
 
 J pk. 5 qt. 1 gi. 
 
 5 qt. 1 pt. 2f gi. 
 
 16. 
 
 17° 14' 30". 
 
 5' 29' lOi". 
 
 17. 
 
 1 lb. 5 oz. 4 pwt. 9 gr. 
 
 7 oz. 4| gr. 
 
 18. 
 
 2 rd. 9 in. 
 
 100 rd. 2 ft. 3 in. 
 
 19. 
 
 4 sq. rd. 27 sq. yd. 3 sq. ft. 
 
 18 sq. yd. 90 sq. in. 
 
 20. 
 
 3 gal. 1 qt. 1 gi. 
 
 2^gi. 
 
 21. 
 
 14 d. 19 h. 15 ra. 
 
 2 w. 5 d. 22 h. 48 m. 
 
 22. 
 
 1 sq. rd. 15 sq. yd. 96 sq. in 
 
 2 sq. yd. 130| sq. in. 
 
 23. 
 
 12 h. 4 m. 30 s. 
 
 28 d. 10 h. 54 m. 54 s. 
 
 24. 
 
 9 sq. rd. 25 sq. yd. 6 sq. ft 
 
 1 sq. rd. 3 sq. yd. 99 sq. in. 
 
 25. 
 
 2 gr. gr. 2 gr. 6. 
 
 Igr. 3doz. 1^. 
 
ANSWERS. 
 
 87 
 
 COMPOUND NUMBERS (page 171). 
 
 214 
 
 775 lb. 7f oz. 
 
 2 cwt. 2 qr. 17 lb. 
 6 oz. 4 pwt. 6f gr. 
 
 4 rd. 5 yd. 8f in. 
 
 [sq. in. 
 
 6 A. 138 sq. rd. 12 sq. yd. 8 sq. ft. 97f 
 
 25 cu. ft. 708f cu. in. 
 
 13 cd. 2 cd. ft. If cu. ft. 
 
 2 qt. 1 pt. 11 gi. 
 
 3pk.2fgi. 
 
 40^ 211'^ 
 
 105 d. 9 h. 25 m. 42f s. 
 
 1 d. 2 h. 52 m. ^ s. 
 
 2 rd. 4 ft. f in. 
 
 2 sq. rd. 185 sq. ft. If sq. in. 
 
 1 pt. 3f gi. 
 
 2^ 39' 33f '. 
 
 1 oz. 14 pwt. 2f gr. 
 
 2 ft. 4 in. 
 
 5 sq. yd. 7 sq. ft. 83f sq. in. 
 
 3fgi. 
 
 3 d. 19 h. 42 m. 51f s. 
 
 5 sq. ft. 87^ sq. in. 
 24 d. 6 h. 14 m. 34f s. 
 145 sq. ft. 119f sq. in. 
 
 1 gr. 2 doz. 3. 
 
 215 
 21,713i 
 
 519| 
 
 217\ 
 
 143 
 
 1,9221 
 76,840^ 
 
 2,971 
 
 421 
 252,037 
 4,4261 
 2,8211 
 7771 
 183,8361 
 13^ 
 16,753^ 
 1,433 
 49 
 13,2501 
 51 
 160^ 
 1,413 
 61,135^ 
 36,749^ 
 299i 
 
88 
 
 DRILL EXERCISES. 
 
 PERCENTAGE (page 253). 
 
 The follow 
 hat pupils at 
 Examples. 
 
 1. 
 
 Ing answers in percer 
 lould be required to i 
 
 216 
 $ 32.004 
 
 itage are cither exact 
 jive answers only to tl 
 
 217 
 $ 2.1336 
 
 or carried out to mi 
 le nearest cent 
 
 218 
 
 % 0.8696 
 
 la, but it is suggeited 
 
 219 
 $ 12,801.60 
 
 2. 
 
 24.432 
 
 2.2905 
 
 2.4622^ 
 
 3,817.50 
 
 3. 
 
 2.71524 
 
 0.36203^ 
 
 0.58082^ 
 
 3,016.933^ 
 
 4. 
 
 14.1076 
 
 4.7025^ 
 
 2.104 
 
 35,269.00 
 
 5. 
 
 280.00 
 
 10.00 
 
 7.25 
 
 57,142.8571 
 
 6. 
 
 9.6032 
 
 1.2004 
 
 2.268 
 
 6,002.00 
 
 7. 
 
 0.99374 
 
 0.05420f 
 
 1.7492^ 
 
 82.127tV 
 
 8. 
 
 0.805 
 
 0.7043^ 
 
 0.131341 
 
 8,050.00 
 
 9. 
 
 305.00 
 
 25.41^ 
 
 46.605 
 
 30,500.00 
 
 10. 
 
 50.4072 
 
 1.1201^ 
 
 0.56074 
 
 6,223.1111 
 
 11. 
 
 18.024 
 
 0.1877^ 
 
 3.72841 
 
 1,251.6665 
 
 12. 
 
 162.00 
 
 43.20 
 
 6.6728 
 
 180,000.00 
 
 13. 
 
 13.808 
 
 4.6026^ 
 
 7.7370^ 
 
 34.520.00 
 
 14. 
 
 5.4675 
 
 0.3037i 
 
 0.55784 
 
 675.00 
 
 15. 
 
 42.503 
 
 6.3754 L 
 
 1.47441^ 
 
 17,001.20 
 
 16. 
 
 0.71588 
 
 0.01301^ 
 
 1.316 
 
 59.163/x 
 
 17. 
 
 70.001 
 
 2.3333f 
 
 1.1263i 
 
 7,000.10 
 
 18. 
 
 0.382 
 
 0.1528 
 
 0.05538^ 
 
 3,820.00 
 
 19. 
 
 23.6016 
 
 2.36016 
 
 4.6288 
 
 14,751.00 
 
 20. 
 
 0.944 
 
 0.0118 
 
 0.467289 
 
 147.50 
 
 21. 
 
 56.6342 
 
 4.0453 
 
 25.5375 
 
 11,558.00 
 
 22. 
 
 78.4908 
 
 0.327045 
 
 9.1339 
 
 5,450.75 
 
 23. 
 
 5,000.00 
 
 6.00 
 
 250.30 
 
 20,000.00 
 
 24. 
 
 3,600.00 
 
 2.88 
 
 1,641.312 
 
 3,600.00 
 
 25. 
 
 63.609 
 
 2.726 
 
 4.699 
 
 12,981.42f 
 

 ANSWERS. 
 
 
 8£ 
 
 PERCENTAGE (page 253). 
 
 
 220 
 
 221 
 
 222 
 
 223 
 
 224 
 
 % 192,024.00 
 
 2.5% + 
 
 % 29.8704 
 
 $ 30.48 
 
 $ 609.60 
 
 40,720.00 
 
 9.2 + 
 
 22.1415 
 
 22.623 
 
 282.777 
 
 22,627.00 
 
 18.8 + 
 
 2.35320f 
 
 2.637 
 
 87.871 
 
 105,807.00 
 
 11.1 + 
 
 9.4050§ 
 
 13.831 
 
 691.549 
 
 1,600,000.00 
 
 2.5 
 
 270.00 
 
 261.683 
 
 3,738.317 
 
 48,016.00 
 
 20.9 + 
 
 8.4028 
 
 9.234 
 
 230.846 
 
 1,505.661 
 
 166.9 + 
 
 0.93953g 
 
 0.896 
 
 8.138 
 
 9,200.00 
 
 8.7 + 
 
 0.10061 
 
 0.798 
 
 79.702 
 
 366,000.00 
 
 14.1 + 
 
 279.58^ 
 
 277.273 
 
 2,772.727 
 
 280,040.00 
 
 1.0 + 
 
 49.2870f 
 
 46.246 
 
 513.834 
 
 120,160.00 
 
 20.4 + 
 
 17.83621 
 
 16.093 
 
 134.107 
 
 675,000.00 
 
 3.2 + 
 
 118.80 
 
 157.282 
 
 5,242.718 
 
 103,560.00 
 
 42.0 + 
 
 9.2053^ 
 
 13.538 
 
 676.862 
 
 12,150.00 
 
 9.6 + 
 
 5.1637^ 
 
 5.017 
 
 55.733 
 
 113,341.33i 
 
 3.0 + 
 
 36.12751 
 
 40.48 
 
 809.58 
 
 3,254.00 
 
 180.5 + 
 
 0.0702861 
 
 0.645 
 
 5.863 
 
 210,003.00 
 
 1.5 + 
 
 67.6676^ 
 
 63.638 
 
 636.372 
 
 9,550.00 
 
 10.3 + 
 
 0.2292 
 
 0.379 
 
 37.821 
 
 147,510.00 
 
 17.8 + 
 
 21.24144 
 
 22.694 
 
 567.346 
 
 11,800.00 
 
 48.8 + 
 
 0.9322 
 
 0.875 
 
 10.925 
 
 161,812.00 
 
 42.8 + 
 
 52.5889 
 
 52.93 
 
 756.13 
 
 1,308,180.00 
 
 11.5 + 
 
 78.163755 
 
 70.082 
 
 584.008 
 
 16,666,6661 
 
 5. 
 
 4,994.00 
 
 3,333.334 
 
 Q,mQ.Q>m 
 
 4,500,000.00 
 
 45.5 + 
 
 3,597.12 
 
 1,800.00 
 
 1,800.00 
 
 302,900.00 
 
 7.0 + 
 
 60.882 
 
 59.448 
 
 849.252 
 
90 
 
 DRILL EXERCISES. 
 
 
 PERCENTAGE (page 
 
 253). 
 
 xamples. 
 
 225 
 
 223 
 
 227 
 
 1. 
 
 June 20, 1873. 
 
 $ 0.094 
 
 $ 0.015^ 
 
 2. 
 
 Feb. 2, 1873. 
 
 0.071 
 
 0.011^ 
 
 3. 
 
 Oct. 27, 1876. 
 
 0.295 
 
 0.049J 
 
 4. 
 
 July 24, 1875. 
 
 0.219^ 
 
 0.036i7^ 
 
 5. 
 
 March 19, 1874. 
 
 0.138L 
 
 0.023^15 
 
 6. 
 
 Sept. 1, 1876. 
 
 0.285^ 
 
 0.047§^ 
 
 7. 
 
 May 15, 1879. 
 
 0.448 
 
 0.0741 
 
 8. 
 
 Nov. 22, 1874. 
 
 0.179^ 
 
 0.0291 
 
 9. 
 
 Sept. 30, 1875. 
 
 0.2301 
 
 0.038tV 
 
 10. 
 
 Dec. 14, 1871. 
 
 0.002^ 
 
 O.OOOi^ 
 
 11. 
 
 Feb. 27, 1873. 
 
 0.075 
 
 0.012^ 
 
 12. 
 
 April 21, 1873. 
 
 0.084^ 
 
 0.0143V 
 
 13. 
 
 Dec. 18, 1876. 
 
 0.303i 
 
 0.050/5^ 
 
 14. 
 
 Dec. 6, 1872. 
 
 0.061^ 
 
 O.OlOi 
 
 15. 
 
 Oct. 10, 1872. 
 
 0.052J 
 
 0.008y 
 
 16. 
 
 ,Jmie29, 1872. 
 
 0.335]^ 
 
 0.055^ 
 
 17. 
 
 Feb. 24, 1872. 
 
 0.014^ 
 
 0.002^ 
 
 18. 
 
 August 15, 1874. 
 
 0.163^ 
 
 0.027/, 
 
 19. 
 
 March 14, 1872. 
 
 0.0175 
 
 0.002^ 
 
 20. 
 
 July 29, 1876. 
 
 0.280^ 
 
 0.046H 
 
 21. 
 
 Dec. 12, 1873. 
 
 0.122.^ 
 
 0.020^V 
 
 22. 
 
 Dec. 1, 1875. 
 
 0.240i| 
 
 0.040^ 
 
 23. 
 
 April 10, 1872. 
 
 0.022^ 
 
 0.003H 
 
 24. 
 
 Nov. 28, 1871. 
 
 0.000^ 
 
 O.OOOgV 
 
 25. 
 
 July 12, 1873. 
 
 0.097^ 
 
 0.0161 
 
ANSWERS. 
 
 91 
 
 229 
 
 0.005§ 
 
 0.0081 
 
 PEKCENTAGE (page 253). 
 230 
 
 I 0.083f 
 
 0.019§ 
 
 0.024/^ 
 
 0.005ff 
 
 0.023f| 
 
 0.0441 
 
 0.026H 
 
 0.032 ^V 
 
 O.OOOtVo 
 
 O.OOl^^g. 
 
 O.Ollf 
 
 0.0331:1 
 
 0.005^ 
 
 0.006 2 f 
 
 0.011,8^ 
 
 0.0002 f 
 
 O.OlO^a 
 
 0.001^8. 
 
 0.004} 21 
 
 0.010j\ 
 
 0.002Tk 
 0.0003«,^^ 
 0.000^^-,- 
 0.004J 
 
 0.103^1 
 
 0.167^ 
 
 0.097f 
 
 0.167H 
 0.2141 
 
 0.866tV 
 0.056 gL 
 
 0.416i| 
 
 0.004|i 
 
 0.151^9^ 
 
 O.O533H 
 
 0.1341 
 
 0.0971 
 
 0.0491|3 
 
 0.62511 
 
 0.025/7 
 
 0.038^^-^0 
 0.012|a 
 
 0.3782^0 
 0.153^ 
 
 0.483t^Jo 
 O.lSOffti 
 0.002e 
 
 O.llSf 
 
 231 
 
 232 
 
 $ 50.139 
 
 $ 53.482 
 
 28.911 
 
 31.621 
 
 13.349 
 
 15.129 
 
 51.61 
 
 68.813 
 
 Q^n.ho^ 
 
 668.611 
 
 45.748 
 
 51.467 
 
 7.419 
 
 7.824 
 
 2.406 
 
 4.511 
 
 1,171.708 
 
 1,269.35 
 
 2.38 
 
 2.433 
 
 22.53 
 
 22.764 
 
 227.25 
 
 287.85 
 
 69.845 
 
 93.127 
 
 5.604 
 
 5.915 
 
 36.953 
 
 42.497 
 
 4.001 
 
 4.073 
 
 17.111 
 
 17.681 
 
 1.038 
 
 1.454 
 
 6.949 
 
 7.644 
 
 4.41 
 
 4.465 
 
 115.628 
 
 123.887 
 
 314.835 
 
 316.147 
 
 1,861.111 
 
 1,863.344 
 
 10.00 
 
 10.008 
 
 103.364 
 
 ■107.794 
 
 233 
 
 I 700.247 
 
 327.083 
 
 117.207 
 
 860.21 
 
 4,553.333 
 
 308.702 
 
 13.081 
 
 94.936 
 
 3,753.025 
 
 561.666 
 
 161.465 
 
 5,854.50 
 
 899.936 
 
 64.486 
 
 894.404 
 
 8.69 
 
 710.276 
 
 44.432 
 
 600.464 
 
 15.107 
 
 908.169 
 
 811.507 
 
 10,223.333 
 
 3,600.60 
 
 997.298 
 
92 
 
 DRILL EXERCISES. 
 
 
 PERCENTAGE (page 253). 
 
 pies. 
 
 234 
 
 235 
 
 236 
 
 
 S 93.835 
 
 $ 51.513 
 
 8 742.566 
 
 
 73.615 
 
 29.764 
 
 354.299 
 
 
 7.815 
 
 5.315 
 
 104.999 
 
 
 40.238 
 
 23.673 
 
 818.322 
 
 
 836.057 
 
 376.549 
 
 4,640.468 
 
 
 27.899 
 
 17.382 
 
 278.519 
 
 
 3.074 
 
 1.536 
 
 10.479 
 
 
 2.274 
 
 1.611 
 
 93.388 
 
 
 935.74 
 
 601.39 
 
 3,538.356 
 
 
 153.26 
 
 54.139 
 
 649.757 
 
 
 56.297 
 
 23.626 
 
 174.248 
 
 
 466.352 
 
 230.437 
 
 6,264.631 
 
 
 39.384 
 
 14.698 
 
 800.944 
 
 
 16.622 
 
 5.738 
 
 70.476 
 
 
 124.618 
 
 82.269 
 
 986.167 
 
 
 2.216 
 
 1.208 
 
 7.550 
 
 
 214.762 
 
 90.615 
 
 812.092 
 
 
 1.078 
 
 0.659 
 
 44.315 
 
 
 68.567 
 
 31.066 
 
 684.514 
 
 
 2.843 
 
 1.654 
 
 13.688 
 
 
 169.104 
 
 60.152 
 
 938.603 
 
 
 245.165 
 
 81.824 
 
 758.82 
 
 
 21,500.00 
 
 8,532.986 
 
 11,601.17 
 
 
 22,320.00 
 
 4,522.50 
 
 4,176.421 
 
 
 189.93 
 
 107.504 
 
 1,054.197 
 
ANSWERS. 
 
 93 
 
 PERCENTAGE (page 253). 
 
 238 
 
 5 m. 21 d. 
 
 1 y. 19 d. 
 5 y. 6 m. 18 d. 
 4 y. 2 m. 10 d. 
 
 4 m. 4 d. 
 4 y. 7 m. 29 d. 
 14 y. 4 m. 20 d. 
 
 4 y. 7 m. 20 d. 
 1 y. 3 m. 18 d. 
 
 I m. 12 d. 
 
 1 y. 8 m. 7 d. 
 
 10 m. 8 d. 
 
 15 y. 9 m. 3 d. 
 ly.6d. 
 
 6 m. 8 d. 
 
 16 y. 1 m. 13 d. 
 1 m. 24 d. 
 
 7 y. 4 m. 22 d. 
 
 4 y. 18 d. 
 6 y. 12 d. 
 
 5 y. 7 m. 10 d. 
 
 II m. 16 d. 
 1 m. 5 d. 
 
 5 m. 13 d. 
 
 11 m. 19 d. 
 
 239 
 
 % 208.148 
 
 297.253 
 
 115.816 
 
 1,078.359 
 
 619.621 
 
 264.489 
 
 18.360 
 
 234.368 
 
 1,119.826 
 
 1,434.117 
 
 205.00 
 
 4,172.673 
 
 2,867.94 
 
 63.653 
 
 589.847 
 
 19.112 
 
 445.909 
 
 145.47 
 
 8,932.075 
 
 15.434 
 
 2,382.507 
 
 157.479 
 
 2,686.567 
 
 590,400.00 
 
 240 
 
 % 585.082 
 
 285.154 
 
 69.89 
 578.417 
 3,513.909 
 186.711 
 6.238 
 68.258 
 2,478.667 
 558.497 
 139.72 
 4,980.784 
 529.65 
 57.23 
 807.913 
 4.873 
 689.891 
 32.841 
 579.796 
 9.216 
 720.766 
 527.208 
 9,781.545 
 3,599.40 
 827.972 
 
 241 
 $ 593.582 
 
 278.989 
 
 78.874 
 
 657.288 
 
 3,444.152 
 
 201.653 
 
 4.96 
 
 78.163 
 
 2,203.491 
 
 557.709 
 
 130.608 
 
 5,181.927 
 
 626.971 
 
 55.619 
 
 814.645 
 
 4.03 
 
 683.306 
 
 37.188 
 
 583.171 
 
 8.589 
 
 707.89 
 
 441.554 
 
 8,430.913 
 
 3,590.027 
 
 815.892 
 
94 
 
 DRILL EXERCISES. 
 
 PERCENTAGE 
 
 (page 253). 
 
 
 242 
 
 243 
 
 244 
 
 245 
 
 $ 46.498 
 
 % 54.998 
 
 $ 18.402 
 
 $ 621.678 
 
 26.411 
 
 20.246 
 
 4.682 
 
 300.718 
 
 11.634 
 
 20.618 
 
 2.511 
 
 87.997 
 
 48.092 
 
 126.963 
 
 9.405 
 
 695.975 
 
 555.848 
 
 486.091 
 
 87.888 
 
 3,912.112 
 
 38.427 
 
 53.369 
 
 7.415 
 
 232.665 
 
 4.074 
 
 2.796 
 
 0.472 
 
 8.562 
 
 2.337 
 
 12.242 
 
 0.802 
 
 79.698 
 
 846.509 
 
 571.333 
 
 259.25 
 
 2,790.75 
 
 2.371 
 
 1.583 
 
 2.80 
 
 557.28 
 
 19.502 
 
 10.48 
 
 4.656 
 
 145.544 
 
 218.073 
 
 419.216 
 
 66.60 
 
 5,333.40 
 
 63.429 
 
 160.75 
 
 0.92 
 
 689.48 
 
 5.131 
 
 3.52 
 
 0.182 
 
 60 568 
 
 35.415 
 
 42.147 
 
 37.308 ^ 
 
 812.752 
 
 2.478 
 
 1.635 
 
 0.427 
 
 6.081 
 
 16.704 
 
 10.119 
 
 17.694 
 
 682.316 
 
 1.012 
 
 5.359 
 
 0.278 
 
 37.922 
 
 6.839 
 
 10.244 
 
 7.146 
 
 682 894 
 
 3.211 
 
 2.584 
 
 0.642 
 
 11.158 
 
 101.17 
 
 88.294 
 
 2.831 
 
 806 229 
 
 212.536 
 
 126.882 
 
 1.526 
 
 652.564 
 
 ,569.087 
 
 218.455 
 
 1,902.777 
 
 8,097.223 
 
 9.973 
 
 0.60 
 
 40.00 
 
 3,560.00 
 
 92.808 
 
 80.728 
 
 40.285 
 
 868415 
 

 ANSWERS. 
 
 b 
 
 PEECENTAGE (page 253). ROOTS ( 
 
 page 276). 
 
 5. 
 
 246 
 
 247 
 
 248 
 
 
 $ 662.951 
 
 25.4558... 
 
 200.3... 
 
 
 308.952 
 
 217485... 
 
 186.9... 
 
 
 95826 
 
 28.8963... 
 
 166.9... 
 
 
 734.77 
 
 24 3310... 
 
 198 4... 
 
 
 4,076.779 
 
 26.9443... 
 
 208.5... 
 
 
 251.744 
 
 30.8868... 
 
 179.4... 
 
 
 9299 
 
 19.1572... 
 
 157.4... 
 
 
 85.623 
 
 17.0000 
 
 141.7... 
 
 
 3,213 909 
 
 25.1992... 
 
 186.3... 
 
 
 561.953 
 
 22.1133... 
 
 179.4... 
 
 
 152.564 
 
 19 3649... 
 
 196 2... 
 
 
 5,536.568 
 
 26 2488... 
 
 154.2... 
 
 
 693.172 
 
 27.6405... 
 
 170.0... 
 
 
 60.871 
 
 29.4108... 
 
 211.2... 
 
 
 897.318 
 
 28.2134... 
 
 161.1... 
 
 
 6.749 
 
 18.6279... 
 
 185.7... 
 
 
 710.79 
 
 24.2074... 
 
 116.9... 
 
 
 39.944 
 
 25.0399... 
 
 195.0... 
 
 
 600.957 
 
 19.8746... 
 
 186.1... 
 
 
 12.302 
 
 27.1661... 
 
 141.5... 
 
 
 811.494 
 
 24.0624... 
 
 1744... 
 
 
 654.853 
 
 22 0454... 
 
 152.4... 
 
 
 10,233 668 
 
 30.6920... 
 
 194.7... 
 
 
 3,602.401 
 
 16.6733... 
 
 182.5... 
 
 
 944.594 
 
 24.2280... 
 
 194.9... 
 
 95 
 
YB 3584 
 
 541713 
 
 UNIVERSITY OF CAUFORNIA LIBRARY