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29. Multiply 9,913 by 1268. 30. Multiply 141567 by 1000.

XIX. 1.* A merchant bought 4 pieces of cloth, the first contained 18 yards, the second 27+ yards, the third 23% yards, and the fourth 25yards. How many yards in the whole ?

2. A gentleman hired 2 men and a boy for 1 week. One man was to receive 5 dollars, the other 7, and

the boy 3z. How much did he pay the whole ?

3. A gentleman hired three men for 1 month. To the first he paid 26% bushels of corn ; to the second, 28% bush els, and to the third, 33%. bushels. How many bushels did it take to pay them ?

4. A man had 24 bushels of corn in one sack, and 2 in another ; how many bushels had he in both ?

5. If it takes l_ yard of cloth to make a coat; and of a yard to make a pair of pantaloons, how much will it take to make both ?

6. A man bought 2 boxes of butter ; one had 7 lb. in it, and the other 107 lb. How many pounds in both ?

7. A boy having a pine apple, gave of it to one sister, to another, and to his brother, and kept the rest himself. How much did he keep himself !

8. A man bought 3 sheep; for the first he gave 6 dol lars; for the second, 8; and for the third, 9. How many dollars did he give for the whole ?

9. How many cwt of cotton in four bags containing as follows; the first 4 cwt. ; the second, 5 cwt. ; the third 48. cwt; and the fourth y cwt. ?

10. A merchant bought a piece of cloth containing 23 yards, and sold 73 yards of it; how many yards had he left!

11. A gentleman paid a man and a boy for 2 months' lapour with

corn; to the man he gave 26 bushels, and to the boy he gave 18ş bushels. How many bushels did it take to

[graphic]

pay both ?

12. Bought 8} cut. of sugar at one time, and 51 swt. at another; how much in the whole ?

13. Bought of a ton of iron at one time, and 4 of a ton at another; how much in the whole ?

14. There is a pole standing so that of it is in the mud,

* See First Lessons, Seck XIV

of it in the water, and the rest above the water ; how much of it is above the water ?

15. A merchant bought 141 cwt. of sugar, and sold 8.3 cwt. ;

how
many

Ib. had he left ? Note. Reduce all fractions to their lowest terms, after the work is completed, or before if convenient. In the above example might be reduced, but it would not be convenient because it now has a common denominator with 1. The answer may be reduced to lower terms.

16. Out of a barrel of cider there had leaked 7 gallons ; how many gallons were there left ?

17. A man bought 2 loads of hay, one contained 173 ewt. and the other 23,4 cwt. How many cwt. in both ?

18. A man had 43 cwt. of hay, and in 3 weeks his horse ate 51 cwt. of it ; how much had he lést?

19. Two boys talking of their ages, one said he was 9 years old ; the other said he was 411 years older. What

age

of the second ? 20. A lady being asked her age, said that her husband was 37 years old, and she was not so old as her husband by 8 years. What was her

age

? 21. A lady being asked how much older her husband was than herself, answered, that she could not tell exactly; but when she was married her husband was 284 years old, and she was 22. What was the difference of their ages ?

22. Add together and 13.
23. Add together , Ķ, and
24. Add together and 4
25. Add together 134 and 17,6
26. Add together 137}, 26's, and 243.
27. What is the difference between and ?
28. What is the difference between 1 and if ?
29. What is the difference between 13, and 817?
30. What is the difference between 1371 and 984?
31. Subtract 33,1 from 53.
32. Subtract 284 from 31377.

[graphic]

was the

XX. 1. A man bought 15 cows for $345. What was the average price?

Note. Find the price of 3 cows, and then of 1 cow.

2. A merchant bought 16 yards of cloth for $84.64; what was it a yard?

3. A merchant bought 18 barrels of flour for $ 114.66, and sold it so as to gain $1.00 a bbl. How much did he sell it for per

barrel ? 4. 21 men are to share equally a prize of 8,530 dollars, how much will they have apiece ?

5. A merchant sold a hogshead of wine for 113 dollars How much was it a gallon ?

6. A ship's crew of 30 men are to share a prize of 847 dollars; how much will they receive apiece ? í 7. A man has 1.857 lb. of tobacco, which he wishes to put into 42 boxes, an equal quantity in each box. How much must he put into each box ?

8. In 4,847 gallons of wine, how many hogsheads ?

9. At $48.00 a ba.rel, how many barrels of brandy may be bought for $687.43 ?

10. At $90 dollars a ton, how many tons of iron may bought for 2,486 doilars ?

11. If 23.000cwt. of iron cost $92,363.75, how much is it

be

per lb. ?

12. Divide 784 by 28. 13. Divide 1,008 by 36. 14. Divide 1,728 by 72. 15. Divide 2,352 by 56. 16. Divide 183 by 15. 17. Divide 487 by 18. 18. Divide 1,213 by 25. 19. Divide 37,864 by 63. 20. Divide 19,743 by 112. 21. Divide 4,383 by 30. 22. Divide 6,487 by 50. 23. Divide 1,673 by 400. 24. Divide 13,748 by 7,000. 25. Divide 100,789 by 250. 26. Divide 406,013 by 4,700. 27. Divide 3,000,406 by 306,000. 28. Divide 450,387 by 36,000. 29. Divide 78,407,300 by 42,000. 30. Divide 15,003,406 by 480,000.

XXI. 1. Find the divisors of each of the following nu1.2bers, 25, 18, 20, 21, 24, 28, 42, 48, 64, 72, 88, 98.

Find the divisors of each of the following numbers, 108, 112, IN, 120, 387,432, 846,936.

3. Find the divisors of each of the following numbers, 8000, 4,053, 1,364, 2,480, 24,876, 103,284, and 7,328,4722

4. Find the common divisors of 8 and 24.5. Find the common divisors of 16 and 36 6. Find the common divisors of 18 and 42 7. Find the common divisors of 21 and 56. 8. Find the common divisors of 56 and 204. 9. Find the common divisors of 123 and 642. 10. Find the common divisors of 32, 96, and 1,432, 11. Find the common divisors of 7,362, and 2,484.

12. Find the common divisors of 73,647, 34,177, atid 2,684.

13. Reduce to its lowest terms..
14. Reduce to its lowest terms.
15. Reduce 30. to its lowest terms.
16. Reduce 96 to its lowest terms.
17. Reduce 486 to its lowest terms.
18. Reduce 4746, to its lowest terms.
19. Reduce 800

to its lowest terms.

427

42000

5. Reduce iz

XXII. 1. Reduce and to the least common denomiAator.

2. Reduce and it to the least common denominator. 3. Reduce and to the least common denominator. 4. Reduce and to the least common denominator.

and is to the lcast common denominator. 6. Find the least common multiple of 8 and 12. 7. Find the least common multiple of 8 and 14. 8. Find the least common multiple of 9 and 15. 9. Find the least common multiple of 15 and 18. 10. Find the least common multiple of 10, 14, and 15. 11. Find the least common multiple of 15, 24, and 35. 12. Find the least common multiple of 30, 48, and 56. 13. Find the least common multiple of 32, 72, and 120. 14. Find the least common multiple of 42, 60, and 125. 15. Find the least common multiple of 250, 180, and 540. 16. Reduce it and is to the least common denomiuator. 17. Reduce 7 and Ga to the least common deuomina

Reduce to y, and it to the least common denomiliator.

19. Reduce , it, and 27: to the least common dénomi. nator.

or

20. Reduce as, 6-3

6s, and is to the least common denominator.

21. Reduce all and me to the least coinmon denominator.

22. Reduce to and for to the least common denominator. 23. Reduce 11.5 and

11400 to the least common derominator.

24. Reduce zilbo and mo to the least common denominator.

XXIII. 1.* At } of a dollar a bushel, how many bushels of potatoes may be bought for 5 dollars ? How many at of a dollar a bushel ?

2. At of a shilling apiece, how many peaches may be bought for a dollar ? How many at of a shilling apiece ?

3. A gentleman distributed 6 bushels of corn among some labourers, giving them of a bushel apiece; how many did he give it to ? How many would he have given it to, if he had given of a bushel apiece? 4. If it takes of a bushel of rye to sow

1 acre, how many acres will 15 bushels sow?

5. A merchant had 47 cwt. of tobacco which he wished to put into boxes, containing jo cwt. each. How many boxes must he get ?

6. A gentleman has a hogshead of wine which he wishes to put into bottles, containing is of a gallon each. How many bottles will it take ?

7. If of a barrel of cider will last a family 1 week, how many weeks will 7 barrels last ?

8. If of a bushel of grain is sufficient for a family of two persons 1 day, how many days would 16 bushels last ? Ilow many persons would 16 bushels last 1 day ?

9. If a labourer drink of a gallon of cider in a day, one day with another, how long will it take him to drink a hogshead ?

10. If an axe-maker put to of a lb. of steel into an axe, how many axes would 1 cwt. of steel be sufficient for ?

11. If it take 1.1 bushel of oats to sow an acre, how many acres will 18 bushels sow?

12. If it take 14 bushel of wheat to sow an acre, how many acres will 23 bushels sow!

* See First Lessons, Sect. XV.

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