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what will 1 third cost " If I third of a yard cost 2 dollars, what will a yard cost 7” 16. If 4 is 2 thirds of some number, what is 1 third of the same number 1 2 is 1 third of what number 1*—Then 4 is 2 thirds of what ? 17. If 2 thirds of a barrel of flour cost 6 dollars, what will 1 third of a barrel cost 7 If I third of a barrel cost 3 dollars, what will a barrel cost 7° 18. If 6 is 2 thirds of some number, what is 1 third of the same number 1–3 is 1 third of what number 7—Then 6 is 2 thirds of what '' 19. If 3 fourths of a bushel of wheat cost 6 shillings, what will 1 fourth of a bushel cost If 1 fourth of a bushel cost 2 shillings, what will a bush

el cost 7

20. If 6 is 3 fourths of some number, what is 1 fourth of the same number 7—2 is 1 fourth of what number 7—Then 6 is 3 fourths of what ? 21. If 2 fifths of a gallon of wine cost 4 shillings, what will 1 fifth of a gallon cost? If I fifth of a gallon cost 2 shillings, what will a gallon cost 22. If 4 is 2 fifths of some number, what is 1 fifth of the same number 1 2 is 1 fifth of what number 7 —Then 4 is 2 fifths of what ? 23. If 3 sevenths of a pound of tobacco cost 6 cents, what will 1 seventh of a pound cost 1 If I

seventh of a pound cost 2 cents, what will a pound

cost 7 - -
24. If 6 is 3 sevenths of some number, what is 1
seventh of the same number 1–2 is 1 seventh of
what number?—Then 6 is 3 sevenths of what ?

25. If 2 sevenths of a barrel of fish cost 4 dol

lars, what will 1 seventh of a barrel cost 7 What

will a barrel cost? . ~.

26. 4 is 2 sevenths of what number 2
27. If 3 eighths of a pound of chocolate cost 6
* See this sectiou, article A.

§

cents,

what will 1 eighth of a pound cost? What

will a pound cost 7

28.
29.

6 is 3 eighths of what number 1
If eight cents will buy 2 fifths of a pound of

aquafortis, how many cents will buy a pound 1

30.
31.

8 is 2 fifths of what number 2
A man bought 3 fourths of a hundred weight

of yellow ochre for 9 dollars; what was that a hundred weight !

32. 33. 34. 35. 36. 37. 3S. 39. 40. 41. 42. 43.

9 is three fourths of what number 2
8 is 4 ninths of what number 2
9 is 3 tenths of what number 7
10 is 5 sevenths of what number 2
12 is 3 fifths of what number 7
12 is 4 ninths of what number 2
10 is 2 sevenths of what number 2
14 is 7 fifths of what number 1
15 is 3 elevenths of what number 2
16 is 2 fifths of what number 1
18 is 6 tenths of what number 2
20 is 5 ninths of what number 1

44, 21 is 3 ninths of what number 1

45.

24 is 8 ninths of what number 1
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C. 1. If 5 eighths of a cask of claret wine cost 15 dollars, what is that a cask? How much cider at 4

the wine !

dollars a * wotild it take to pay for a cask of

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e eighths of how many times 41

3. If 2 thirds of a pound of coffee cost 18 cents, show much would a pound cost 1 How many oranges at 5 cents apiece, might be bought for a pound 1 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 1 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, le 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 81 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 1 and what was the age of his youngest son 1 10. 24 is 3 fifths of how many times 10 ! f 11. 27 is 3 fifths of how many times 7 ? 12. 28 is 7 tenths of how many times 9 7 13. 30 is 5 eighths of how many times 7 ? 14. 32 is 4 sevenths of how many times 61 $15.36 is 9 eighths of how many times 51 16. 40 is 8 ninths of how many times 8 17. 42 is 6 fifths of how many times 4 3 18. 45 is 9 cighths of how many times 61 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 51 25. 64 is 8 ninths of how many times 7 ? 26.70 is 10 sevenths of how many times 81 27, 72 is 9 fifths of how many times 6 28. 80 is 10 thirds of how many times 47 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 1 2. A boy gave 5 apples to one of his companions,

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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 1 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 1 9. There is a pole two fifths under water, and 6 feet out of the water; how long is the pole 1 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 7 and how many of each sort 2 11. There is a school, in which 2 ninths of the boys learn arithmetic, 3 minths learn grammar, 1 ninth learn geography, 1 ninth learn geometry, and 12 learn to write ; how many are there in the school 1 and how many attending to each study ? 12. A man sold a watch for 63 dollars, which was fifths of what it cost him ; how much did he gain y 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 five himself, and divided the rest equally among four companions; how many did he give them apiece 1 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 be 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 1 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 1 7. If 2 yards of cloth cost 6 dollars, what would 4 yards cost what would 12 yards cost 7 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 S shillings a day, how many dollars will he spend in a week 2 11. Bought 10 pieces of cloth, each containing 5 yards, for 100 dollars; what was it apiece and ow much a yard 2

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