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7. A man sold a cow for 21 dollars, which was only 7 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 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

nad 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 ?

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8. There is a pole 2 thirds under water, and 4 feet out; how long is the pole?

9. There is a pole 2 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. IF 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 5 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, how many bushels would 15 horses eat in the same 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

sold the remainder for 36 dollars; how much per gallon did he sell it for?

25. If a cask of wine cost 48 dollars, what is 5 eighths of it worth?

26. A man bought 7 oranges for 6 cents apiece, and sold them all for 54 cents, how much did he gain by the bargain?

27. A man bought 8 yards of cloth for 56 dollars, and sold it again for 9 dollars a yard; how much did he gain by the bargain?

28. A man bought 8 barrels of flour for 40 dollars ; how much must he sell it at per barrel to gain 16 dollars?

29. A man bought 5 firkins of butter at 7 dollars a firkin; how much must he sell it per firkin to gain 10 dollars ?

30. A man gave 35 cents for his breakfast, which was 5 eighths of what he gave for his dinner; what did he give for his dinner?

31. A ship's crew of 6 men have provision for 3 months; how many months would it last 1 man?

32. A ship's crew have provision sufficient to last 1 man 27 months; how long would it last 9 men? 33. A ship's crew have provision sufficient to last 3 men 10 months; how long would it last 5 men ?

34. A man built 40 rods of wall in a certain time, another man can build 9 rods while the first builds 5; how much would he build in the same time?

SECTION VII.

If the combinations in this section should be found too difficult, they may be omitted until reviewing the book.

A. 1. A MAN being asked the age of his eldest son,

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