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cents, what will 1 eighth of a pound cost? What will a pound cost?

23. 6 is 3 eighths of what number?

29. If eight cents will buy 2 fifths of a pound of aquafortis, how many cents will buy a pound? 30. 8 is 2 fifths of what number?

31. A man bought 3 fourths of a hundred weight of yellow ochre for 9 dollars; what was that a hundred weight?

X

32. 9 is three fourths of what number?
33.8 is 4 ninths of what number?

34. 9 is 3 tenths of what number?
35. 10 is 5 sevenths of what number?
36. 12 is 3 fifths of what number?
37. 12 is 4 ninths of what number?
38. 10 is 2 sevenths of what number?
39. 14 is 7 fifths of what number?
40. 15 is 3 elevenths of what number
41. 16 is 2 fifths of what number?
42. 18 is 6 tenths of what number?
43. 20 is 5 ninths of what number?
44. 21 is 3 ninths of what number?
45. 24 is 8 ninths of what number?

C. 1. If 5 eighths of a cask of claret wine cost 15 dollars, what is that a cask? How much cider at 4 dollars a barrel would it take to pay for a cask of the wine?

2. 15 is five eighths of how many times 4?

3. If 2 thirds of a pound of coffee cost 18 cents, how much would a pound cost? How many oranges at 5 cents apiece, might be bought for a pound? 4. 18 is 2 thirds of how many times 5?

5. A man bought 4 sevenths of a hundred weight of sugar for 20 shillings, how many dollars would a hundred weight come to at the same rate?

6. 20 is 4 sevenths of how many times 6?

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7. A man sold a cow for 21 dollars, which was only seven tenths of what she cost him; how much did she cost him? When he bought her, he paid for her with cloth at 8 dollars a yard; how many yards of cloth did he give?

8. 21 is 7 tenths of how many times 8?

9. A man being asked the age of his youngest son, answered, that the age of his eldest son was 24 years, which was 3 fifths of his own age; and that his own age was 10 times as much as that of his youngest son; what was his age? and what was the age of his youngest son ?

10. 24 is 3 fifths of how many times 10?
11. 27 is 3 fifths of how many times 7 ?
12. 28 is 7 tenths of how many times 9 ?
13. 30 is 5 eighths of how many times 7 ?
14. 32 is 4 sevenths of how many times 6?
15. 36 is 9 eighths of how many times 5?
16. 40 is 8 ninths of how many times 8?
17. 42 is 6 fifths of how many times 4?
18. 45 is 9 eighths of how many times 6?
19. 48 is 8 ninths of how many times 7?
20. 50 is 5 sevenths of how many times 8?
21. 54 is 9 sixths of how many times 7?
22. 56 is 7 ninths of how many times 10?
23. 60 is 10 sevenths of how many times 4!
24. 63 is 9 eighths of how many times 5?
25. 64 is 8 ninths of how many times 7?
26. 70 is 10 sevenths of how many times 8?
27. 72 is 9 fifths of how many times 6?
28. 80 is 10 thirds of how many times 4?
29. 80 is 8 fifths of how many times 6?

D. 1. A boy gave away 4 cents, which was 1 third of all he had; how many had he at first? 2. A boy gave 5 apples to one of his companions,

which was 1 fourth of what he had; how many had he?

3. A man paid away 4 dollars, which was 2 thirds of all the money he had; how much had he?

4. A man sold a watch for 18 dollars, which was 3 fourths of what it cost him; how much did it cost? 5. A man sold a cow for 15 dollars, which was 3 fifths of what the cow cost; how much did he lose by his bargain?

6. A man bought 12 yards of cloth, and sold it for 54 dollars, which was 9 eighths of what it cost him; what did it cost him a yard? and how much did he gain by his bargain?

7. There is a pole standing in the water, so that 10 feet of it is above the water, which is 2 thirds of the whole length of the pole; how long is the pole?

8. There is a pole two thirds under water, and 4 feet out; how long is the pole ?

9. There is a pole two fifths under water, and 6 feet out of the water; how long is the pole ?

10. There is an orchard, in which 3 sevenths of the trees bear cherries, and 2 sevenths bear peaches, and 10 trees bear plums; how many trees are there in the orchard? and how many of each sort?

11. There is a school, in which 2 ninths of the boys learn arithmetic, 3 ninths learn grammar, 1 ninth learn geography, 1 ninth learn geometry, and 12 learn to write; how many are there in the school? and how many attending to each study?

12. A man sold a watch for 63 dollars, which was 7 fifths of what it cost him; how much did he gain by the bargain?

Miscellaneous Examples.

1. Ir 1 yard of cloth cost 4 dollars, what will 5 yards cost?

2. A man bought 3 pounds of raisins, at 7 cents a pound, and 16 oranges, at 4 cents apiece, and 1 pound of candles for 16 cents; what did they all

come to ?

3. A boy had 37 apples; he kept five himself, and divided the rest equally among four companions; how many did he give them apiece?

4. Two men are 40 miles apart, and both travelling the same way; the hindermost man gains upon the other 5 miles each day; in how many days will he overtake him?

5. Two men are travelling the same way, one travels at the rate of 38 miles a day, the other, who is behind the former, travels 44 miles; how much does he gain of the first each day? and in how many days would he gain 60 miles?

6. A fox is 80 rods before a greyhound, and is running at the rate of 27 rods in a minute, the greyhound is following at the rate of 31 rods in a minute; in how many minutes will the greyhound overtake the fox?

7. If 2 yards of cloth cost 6 dollars, what would 4 yards cost? what would 12 yards cost?

8. If 8 sheep cost 24 dollars, what would 3 cost? 9. If 4 tons of hay will keep 3 horses through the winter, how many tons will keep 30 horses the same time?

10. If a man spends 8 shillings a day, how many dollars will he spend in a week?

11. Bought 10 pieces of cloth, each containing 5 yards, for 100 dollars; what was it apiece? and how much a yard?

12. If the wages of 12 weeks come to 60 dollars, what is that a month? and how much for 5 weeks?

13. If 7 horses eat 14 bushels of oats in 1 week, bushels would 15 horses eat in the same

how many

time?

14. If 3 horses eat 8 bushels of oats in 2 weeks, how long would it take them to eat 40 bushels ?

15. If 1 horse eat 1 bushel of oats in 3 days, in how many days would 4 horses eat 36 bushels ?

16. If 2 men spend 12 dollars in 1 week, how many dollars would 3 men, at the same rate, spend in 5 weeks?

17. If a staff 3 feet long cast a shadow of 2 feet at 12 o'clock, what is the length of a pole that casts a shadow 18 feet at the same time of day?

18. If 47 gallons of water, in 1 hour, run into a cistern containing 108 gallons, and by a pipe 38 gallons run out in an hour, how much remains in the cistern in an hour? and in how many hours will the cistern be filled?

19. If 4 men can do a piece of work in 8 days, how many men would it take to do the same work in 4 days?

20. If 6 men can do a piece of work in 9 days, in how many days would 2 men do it?

21. If. 8 men can do a piece of work in 5 days, in how many days would they do a piece of work 4 times as large ?

22. If 7 men can do a piece of work in 3 days, how many men would it take to do a piece of work 5 times as large in the same time?

23. If 8 men can do a piece of work in 4 days, in how many days would 2 men do a piece of work one half as large ?

24. A man bought a cask of wine containing 63 gallons, 3 sevenths of which leaked out; and he.

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