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52. A merchant sold of a chest of tea, then of it, and took the rest home. If he took home 12 pounds,

how many pounds were there in the chest at first?

53. A cistern has two pipes. By one pipe, 3 gallons of water run into the cistern in a minute, and by the other, 5 gallons run out in a minute. If the cistern contains 42 gallons, and both pipes are open, in how many minutes will it be emptied?

54. A man can perform a certain piece of work in 4 hours, and a boy can do the same work in 6 hours. What part of the work can the man do in 1 hour? What part can the boy do? What part can both together do? How many hours will it take both together to do the work?

55. C can plant an acre of corn in 6 hours, C and D together in 4 hours. What part of an acre can C and D together plant in 1 hour? What part can C plant in 1 hour? What part then can D plant in 1 hour? How many hours will it take D to plant the acre of corn?

56. A fox is 90 rods in advance of a greyhound. The fox runs 60 rods a minute, the greyhound 65. In how many minutes will the fox be overtaken?

57. By selling cigars at $7 a hundred of their cost is gained. Find the price per hundred at which they must be sold, in order to gain of their cost.

58. By selling a farm for $2400, the owner lost of what it cost him. How much did he pay for the farm?

59. How many flowers can be planted along the borders of a flower-bed 12 feet long and 10 feet wide, if the flowers are of a foot apart?

Ex. 97.

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1. Reduce to simple fractions, 8 of of,

of 7' of

2. Find the values of

16914; 1 of 4; 761 of 19.

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3. Six pieces of cloth measure respectively 23 yards, 19 yards, 21 yards, 247 yards, 35 yards. After 39

yards, 18

yards have been sold from their

sum, how much remains?

4. The remainder being 4, the quotient 51, and the divisor 25, it is required to find the dividend.

5. Find the value of of a chest of tea weighing 57 pounds, at $1 per pound.

6. If a man work 81⁄2 hours in a day he can finish a piece of work in 12 days. How many hours per day must he work to complete it in 10 days?

7. A confectioner sells of of a bushel of walnuts. What part of the bushel remains, and what will it bring at 15 cents per quart?

8. What is the value of a basket of 588 eggs, worth 25 cents per dozen?

9. A man starts on a journey 5 hours before the mail coach. How many miles will the coach be ahead of the man after it has run for 12 hours, supposing that he travels at the rate of 3 miles an hour, and the coach 10 miles an hour?

10. If of of a piece of land cost $420, what is the value of the whole?

11. A farmer sold at market 15 sheep at $25 each, and bought 7 yards of cloth at $1 per yard. How much money did he take home?

12. A man walked a distance of 60 miles; for the first 5 hours, at the rate of 3 miles an hour, and during the remainder of the journey he walked at the rate of 4 miles an hour. In how many hours did he

complete the journey?

13. The circumference of a fore wheel of a wagon is 63

feet; that of the hind wheel 8 feet. In a distance of 20 miles, of 5280 feet each, how many more turns will be made by the former than by the latter?

14. A young man received $1200 from his father. He spent of the money for clothes, of it in travelling, and invested the remainder in a mortgage. What fraction of the whole was the sum invested?

15. A baker paid $32 for

What was the value of

of a hogshead of molasses.

of the remainder?

16. A gentleman paid $125 for keeping 2 horses 12 weeks. What would it cost, at the same rate, to keep one horse of a week?

17. If of a yard of ribbon cost $7, what will be the value of 5 yards?

18. Reduce, to decimal fractions, and add the

results.

19. The contents of a chest of tea weighing 87.5 pounds are made up into 1 pound, pound, pound packages, an equal number of each. How many packages of each kind?

20. In five successive days a farmer puts into his bin 37 bushels of potatoes, and on each of these days he

sells 19 bushels.

put into the bin?

How many bushels have been

How many more are in the bin

at the end than at the beginning of the five days?

21. A man's weekly income is $181, and his weekly

expenses are $233. If he have $75 in reserve,

how many weeks can he live without incurring debt?

22. By a leak 875 barrels of water enter the hold of a boat in 1 hour; the pumps will discharge 583 barrels in an hour. If she can carry only 875 barrels, in how many hours will she sink?

23. A can mow a field in 10 days, B in 8 days, and C in 5 days. When working together, how many days will they need?

24. A carpenter alone can build a shop in 15 days, and with the help of his son he can build it in 10 days.

In how many days will the son alone build the shop?

25. Wales Edwards and George Peters hire a pasture for $14. Edwards puts in 8 horses; Peters puts in 50 sheep. If 21 sheep will eat as much as 2 horses, what must each pay?

26. A flour dealer bought 125 barrels of flour at $63. He sold 97 barrels at $73, and the remainder, being injured, brought only $54. What did he gain?

27. A lady bought of of a yard of ribbon for $14. What was the cost per yard?

28. From two fields 482 bushels of corn are gathered. The first field yields as much as the second. How many bushels does each field yield?

29. A farmer brought to market 3 jars of butter, weighing 26 pounds, 37 pounds, 19 pounds. The empty jars weighed 3 pounds, 4 pounds, 5 pounds. The butter brought $30. What was the price per pound? 30. From 120 acres of land 324 acres are sold to one man, and of the remainder to another. How many acres are unsold?

31. If the rent of 3 acres of land for of a year be $9, what will be the rent of 45 acres for 1 year?

32. If of a ton of coal cost $4, how many tons can be bought for $145?

33. If 12 horses eat 653 bushels of oats in 3 months, how many bushels will 7 horses eat in 2 years?

34. The agent for a line of steamers sells of a steamship to one company, of the remainder to a second,

and of what is left to a third. What part of the whole ship has the third company?

35. A farmer exchanged 13 loads of oats, of 18 bags each, every bag containing 2 bushels, for 150 sheep, at $2.925. What was the price of the oats per bushel? 36. Two men 95.784 miles apart approached each other until they met. One travelled 7.476 miles more than the other. How many miles did each travel? 37. A teacher spent of his salary in board for himself and family, and

of it in clothing for himself.

The clothing of his wife and child cost as much as his own. At the end of the year $187 remained. What was the salary?

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