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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 ?

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 barrel, how many barrels of brandy may be bought for $687.43 ? 10. At $90 dollars a ton, how many tons of iron may

be bought for 2,486 dollars ?

11. If 23.000cwt. of iron cost $92,368.75, how much is it

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 1,243 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 100,780 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 15,008,406 by 480,000.

XXI. 1. Find the divisors of each of the following nurt-bers, 15, 18, 20, 21, 24, 28, 42, 48, 64, 72, 88, 98.

2. Find the divisors of each of the following numbers, 108, 112, i14, 120, 387, 432, 840, 936.

3. Find the divisors of each of the following numbers, S000, 4,053, 1,864, 2,480, 24,876, 103,284, and 7,328,472.

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 264. 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, and 9,684.

13. Reduce 1 to its lowest terms.
14. Reduce 48 to its lowest terms.
15. Reduce 300 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 -8 0 to its lowest terms.

42000

300

480

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XXII. 1. Reduce and to the least common denomi2. Reduce and to the least common denominator. 3. Reduce and to the least common denominator. 4. Reduce and to the least common denominator. 5. Reduce and to the least 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 j' and its to the least common denominator. 17. Reduce 4 and 1 भ

to the least common denominator.

18. Reduce 1, 7, and , to the least common denominator.

19. Reduce , , 11, and at, to the least common denomi nator

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20. Reduce as is, and is to the least common denomi

21. Reduce 1 and 23 to the least common denominator.

22. Reduce co and 23980 to the least common denominator.

23. Reduce 101 and 1846 to the least common denominator.

24. Reduce log and 2880 to the least common denominátor.

XXIII. 1.* At of a dollar a bushel, how many bushels of potatoes may be bought for 5 dollars ? How many at į 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 f 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 to 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 35 of a bushel of grain is sufficient for a family of two persons 1 day, how many days would 16 bushels last ? How 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 fo of a lb. of steel into an axe, how many axes would I cwt. of steel be sufficient for ?

11. If it take 1} bushel of oats to sow an acre, how many acres will 18 bushels sow?

12. If it take 1} bushel of wheat to sow an acre, how many acres will 23 bushels sow?

* See First Lessons, Sect. XV.

13. At 1} dollar a bushel, how much wheat may be bought for 20 dollars ?

14. At 34 dollars a barrel, how many barrels of cider may be bought for 40 dollars ?

15. At the rate of 154 bushels to the acre, how many acres will it take to produce 75 bushels of rye ?

16. At 4 dollars per cwt., how many tons of iron can I buy for $150 ?

17. At 114 cents per lb., how much steel can I buy for $50.00 ?

18. If a man can perform a journey in 580 hours, how many days will it take him to perform it if he travel 916 hours in a day?

19. How many coats may be made of 187 yards of cloth if 3, 4 yards make 1 coat ?

20. In 43 yards how many rods ?
21. In 87 yards how many.rods ?
22. In 853 feet how many rods?
23. In 2,473 feet how many furlongs?
24. In 43,872 feet how many miles ?

25. If 1 bushel of apples cost of a dollar, how many bushels may be bought for of a dollar ?

26. At of a dollar a dozen, how many dozen of lemons may be bought for of a dollar ? How many dozen for 1> dollar ?

27. At of a dollar a dozen, how many dozen of oranges may be bought for of a dollar ? How many for 2 dollars ?

28. At of a dollar a bushel, how many bushels of apples may be bought for of a dollar ? How many for 5% dollars ?

29. At £ of a dollar per lb., how many pounds of figs may be bought for 4 of a dollar? How many pounds for 11 dollar ?

30. At of a dollar a bushel, how many bushels of apples may be bought for 14 dollar ?

31. If 4 of a chaldron of coal will supply a fire 1 week, how many weeks will of a chaldron supply it?

32. If 1 lb. of sugar cost of a dollar, how many pounds may be bought for of a dollar ? How many pounds for 11 dollar ?

33. At of a dollar per bushel, how many bushels of apples may be bought for of a dollar ? How many at of a dollar per bushel ?

34. At } of a dollar per bushel, how many bushels of potatoes may be bought for of a dollar ? How many at of a dollar

per

bushel ? 35. At i of a dollar a bushel, how much corn may be bought for of a dollar ? How much for į of a dollar ?

36. At of a dollar per bushel, how much rye may be bought for ļof a dollar ? How much for ļof a dollar ?

37. At of a shilling apiece, how many eggs may be bought for of a dollar ?

38. If it take its of a pound of flour to make a penny-loaf, how many penny-loaves may be made of į of a pound?

39. If a four-penny loaf weigh is of a pound, how many will weigh of a pound ?

40. If a two-penny loaf weigh of a pound, how many will weigh 1{ lb ? How many will weigh 73 lb. !

41. If a six-penny loaf weigh ih of a pound, how many six-penny loaves will weigh } of a pound ? How many will weigh 4 lb ?

42. If of a pound of fur is sufficient to make a hat, how many hats may be made of 41 lb. of fur ?

43. If 10 oz. of fur is sufficient to make a hat, how many hats may be made of 4 lb. 7 oz. of fur ?

44. If i bushel of apples cost of a dollar, how many bushels may be bought for 3 dollars ?

45. If a bushel of apples cost 2s. 5d. how many bushels may be bought for 3 dollars and 5 shillings?

46. If 1), that is, 7 of a yard of cloth will make a coat, how many coats may be made from a piece containing 437 yards ?

47. If 2 bushels of oats will keep a horse 1 week, how long will 18} bushels keep him ?

48. If 44 yards of cloth will make a suit of clothes, how many suits will 874 yards make ?

49. If a man can build 44 rods of wall in a day, how many days will it take him to build 844 rods ?

50. If is of a ton of hay will keep a cow through the win ter, how many cows will 23. tons keep at the same rate ?

51. At 93 dollars a chaldron, how many chaldrons of coal may be bought for 375 dollars ?

52. At 147 dollars per cwt., how many cwt. of yellow ochre may be bought for 24344 dollars ?

53. At 25, dollars a cask, how many casks of claret wine may be bought for 387 dollars !

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