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east on the 29th, 8 miles towards the east on the 30th, and miles towards the east on the 31st. How far was he from N York at the end of the month? How far was he from N. Yor) when nearest to it? When the farthest from it? In which direction and how far from home was he on the 1st Sunday in the month ? on the 2d ? on the 3d ? on the 4th ? How many miles did he travel in all ?

11. He had 113 dollars with him when he left home. Oi the 1st day of the month he received 9 dollars and paid out 2 on the 2d he received 8 dollars, on the 3d he received 7, on the 4th he paid out 10, on the 5th he received 8 and paid out 3, or the 6th he received 10, on the 8th he received 9 and paid ou 4, on the 9th he received 7, on the 10th he paid out 5, on the 11th he received 9 and paid out 4, on the 12th he received 8 on the 13th he received 7, on the 15th he received 5 and paic out 9, on the 16th he paid out 7, on the 17th he paid out 9 and received 1, on the 18th he received 8, on the 19th he received 10, on the 20th he received 10 and paid out 2, on the 22d he received 9 and paid out 5, on the 23d he received 8, on the 24th he received 10, on the 25th he received 9, on the 26th he received 7, on the 27th he paid out 4, on the 29th he paid out 9 and received 9, on the 30th he received 10, and on the 31st he received 8 and paid out 6. How many dollars did he have at the end of the month ? How many dollars did he receive during the month? How many did he pay out?

SECTION VI.

A. 1. 20 + 70 + 80 ? 22 + 70 + 80 ? Solution. 22 + 70 = 92, +80= 172.

Note. It should be borne in mind that in all abstract examples, the pupil should be taught finally to solve the questions by naming only the results of indicated operations.

2. 50 +90 + 20 ? 54 +90 + 20 ? 154 +90 + 20 ? 3. S0 + 30 + 70 ? 83 +30 + 70 ? 483 +30 + 70 ? 4. 20 + 70 + 80 ? 25+

80 ?

70 + 80 ? 5. 30 + 80 + 70 ? 836

702 80 + 70 ? 6. 35 + 80 + 20 +90

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11. 67 +44+56? 984 73487561+3+24?
12.111497 + 63 ? 125+8+43?323+8+ 69?
13.756 +57 + 59?666 +66 +66? 777+7+77?
14.448+ 74 + 3? 446 +46+46:378+8+78?
15.219 + 87 + 19:218+46+43?

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63

37

D. 1. 224-493 Solation. 224-40=184,-9-175,
Ans. Or 224, 184, 175, Ans.

2.178 96? 85 - 37? 418 173393 28?
3.146 85? 311 47? 964 86?321 85?
4. 417 38? 127 58? 481 37? 512
5. 431 .82 76? 428

49931 82 56?
6.357-59 83 ? 191 83 79? 847 68-72?
7. 438-57 42? 198-43 64? 257 49-83?
8. 672 - 83-54? 711 - 48-17? 93 - 27-388?
9. 839 -18-16?321 -87. - 163 S13 148 .67?
10. 325 -87 - 293761 445 - 99? 832 - 99 99?
11. 620-54-37?373 77 - ? 507 .88 36?
12.196-3-85? 401 86. 37? 922 46. -57?

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E. 1.48 +57 + 23 + 64? 157+ 86 +97 +31?
2.591487 +57 + 383 611-284 87-99?
3.421+64-83 67? 117+17+17-19?
4. 432 + 87 +59 69: 836 - 79 +594473
5.517-93 +21 482 437 98 + 56

.?
6.221 45 97-4 85? 527+38 63 72?
1. 814 97 86 763 541 +64 78 -67?
8. 941 -87 - 96 633297 .39 28 - 19?
9. 407

69 + 43 76? 423 +97 85 -87?
10. 731-49-88 + 23: 854 - 78 +67-69?
11.27+8+95-133551 + 37 - 86-873

83

84

75

222

F. Add the numbers in the following columns. First. Second. Third. Fourth. Fifth. Sixth.

Seventh. Eighth. 29

19 84 94 67 94 66 64 17 67 82 58

88 96 99 46 53 28

39
63

99 51 25 78 41 46 62 85 47 78 37 87 29 64 87 97 89 43 72 94 13 37 54 58 95 27 69

17 73 66 83 16 G. 1. 367 + 454? Solution. 367 + 400 = 767, +50= 817, +4= 821, Ans. Or 367, 767, 817, 821, Ans.

2. 516 + 485 ? 327 + 482 ? 527 + 275 ? 884 + 116 ?

3. 217 +587+ 111? 174 +227 + 500? 325 + 144 + 507?

Add the numbers in the following columns as by above solution. Fourth. Fifth. Sixth.

Eighth. Ninth.
254 244 187

214 509
327 115 256 199 170 333
111

312 199 318 177 277
178 328 335 216 107 188

49

Seventh.

H. 1. 617 — 329 ? Solution. 617 — 300 = 317, - 20 = 297,-9=288, Ans. Or 617, 317, 297, 288, Ans.

2. 925 – 745? 724 - 295 ? 427 - 248? 323 166 ? 3. 777 288 ? 629 333 ? 678 - 599? 572 - 257? 4. 541 - 279 ? 327 198? 369 — 273? 911-675 ? 5. 631 275? 382 193 ? 824-675? 621 — 328 ? 6. 547 - 211 ? 932 — 595 ? 721 — 483? 264 — 327 ? 7. 618- 479? 234 — 198 ? 591 — 287? ,613 — 257 ? 8. 876 - 183? 841 - 757? 922 333? 523 — 275 ? 9. 888 - 299? 532 199? 643 — 274? 518 — 279 ?

I. 1. What number must be added to 50 that the sum shall equal 100 ? What number must be added to 70 ? 2. To 30 ? to 90 ? to 10 ? to 25 ? to 85 ? to 15? to 94?

3. To 84 ? to 74 ? to 14 ? to 24? to 44? to 81 ? to 1 ? 4. To 5? to 8? to 78? to 16 ? to 46 ? to 37? to 36 ? 5. To 64 ? to 41 ? to 73 ? to 19 ? to 57 ? to 43 ?

6. What number must be added to 400 that the sum shall equal 1000 ?

What number must be added to 600 ? 7. To 50 ? to 80 ? to 150 ? to 450 ? to 891 ? to 673 ? 8. To 973 ? to 273 ? to 456 ? to 225 ? to 250 ? to 750 ? 9. To 825 ? to 125 ? to 888? to 666 ? to 384? to 575 ? 10. To 875 ? to 333 ? to 411 ? to 673 ? to 527? to 425 ? 11. To 897? to 138 ? to 279 ? to 842 ? to 147 ? to 853 ?

J. 1. There are 58 towns in Worcester county, Mass.,

50 in Middlesex, 31 in Berkshire, 30 in Essex, 26 in Franklin, 23 in Hampshire, 22 in Plymouth, 22 in Norfolk, 20 in Hampden, 19 in Bristol, 13 in Barnstable, 3 in Suffolk, 3 in Dukes, and 1 in Nantucket. How many towns in all these counties ?

2. The number of Representatives for the valuation year, from Suffolk county is 47, from Essex is 49, from Middlesex is 68, from Worcester is 63, from Berkshire is 33, and from Norfolk is 30. How many Representatives from the six counties?

3. A Vermont farmer had 17 cows, 24 oxen, 59 sheep, and 19 horses. How many animals had he? He sold 2 cows for 67 dollars, 1 yoke of oxen for 85 dollars, 17 sheep for 33 dollars, and 2 horses for 99 dollars. How many dollars did he receive for them? How many animals did he sell? How many

had he left?

4. The Boston Insurance Company owns 190 shares in the Connecticut River Railroad, 150 in the Boston and Providence Railroad, 20 in the Boston and Lowell Railroad, 150 in the Taunton Branch Railroad, and 100 in the Old Colony Railroad. How many

shares are owned by the Company ? 5. The Tremont Insurance Company, at Boston, owns bank stock as follows: In the Granite Bank 198 shares, in the City Bank 47 shares, in the Atlantic 10, in the Atlas 30, in the Market 13, in the North 55, in the Merchants' 27, in the Shoe and Leather Dealers’ 30, in the Union 18, in the State 14, in the Tremont 216, in the New England 123, and in the Grocers' 50. How many shares do they own? They own 50 shares in the Taunton Branch Railroad, 100 in the Boston and Providence, and 76 in the Boston and Worcester. What is the number of shares of railroad stock ?

6. The Washington Insurance Company owns 100 shares in

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