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