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27. 4 is 1 eighth of what number? 28. 6 is 1 sixth of what number? 29. 8 is 1 third of what number? 30. 9 is I fourth of what number? 31. 7 is 1 sixth of what number? 32. 8 is 1 seventh of what number? 33. 9 is 1 eighth of what number? 34. 8 is 1 tenth of what number? 35. 7 is I ninth of what number? 36. 6 is 1 fifth of what number?

37. 10 is 1 seventh of what number?

B. 1. A man bought some linen and some cotton cloth, for the linen he gave 4 shillings a yard, which was twice as much as he gave for the cotton; what did he give for a yard of the cotton?

2. 4 is 2 times what number?

3. If 2 thirds of a yard of cloth cost 6 dollars, what would 1 third cost?

4. 6 is 2 times what number?

5. If 3 fourths of a barrel of flour cost 6 dollars, what will one fourth of a barrel cost?

6. 6 is three times what number?

7. If 2 fifths of a pound of chocolate cost 8 cents, what would 1 fifth of a pound cost?

8. 8 is 2 times what number?

9. If 3 fifths of a pound of candles cost 9 cents what will 1 fifth of a pound cost?

10. 9 is 3 times what number?

11. If 2 sevenths of a pound of spermaceti candles cost 10 cents, what will 1 seventh of a pound cost?

12. 10 is 2 times what number?

13. If 5 eighths of a pound of cotton cost 10 cents, what will 1 eighth cost?

14. 10 is 5 times what number?

15. If 2 thirds of a yard of cloth cost 4 dollars,

what will 1 third cost? If 1 third of a yard cost 2 dollars, what will a yard cost ?*

16. If 4 is 2 thirds of some number, what is 1 third of the same number? 2 is 1 third of what number ?*-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? If 1 third of a barrel cost 3 dollars, what will a barrel cost ?*

18. If 6 is 2 thirds of some number, what is 1 third of the same number?-3 is 1 third of what number ?-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 bushel cost?

.

20. If 6 is 3 fourths of some number, what is 1 fourth of the same number?-2 is 1 fourth of what number ?-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 1 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? 2 is 1 fifth of what number? -Then 4 is 2 fifths of what?

23. If 3 sevenths of a pound of tobacco cost li cents, what will 1 seventh of a pound cost? If 1 seventh of a pound cost 2 cents, what will a pound cost?

24. If 6 is 3 sevenths of some number, what is 1 seventh of the same number ?-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 dollars, what will 1 seventh of a barrel cost? What will a barrel cost?

26. 4 is 2 sevenths of what number?

27. If 3 eighths of a pound of chocolate cost 6

* See this section, article A.

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

28. 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 hun dred weight?

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?

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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 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?

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5. A man bought 4 sevenths of a hundred weight 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 61

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?

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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 pble; 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?

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