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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 1 fourth of what number?
31. 7 is 1 sixth of what number !
32. 3 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 1 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 wi!l 1 seventh of a pound cost ?

12. 10 is 2 tiraes, what number?

13. If 5 eighths of a pound of cotton cost 10 cents, what will 1 cighth 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 I 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 I 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 1-3 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 i 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 ? 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 6 cents, what will 1 seventh of a pound cost ? If I 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 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 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 uquafortis, 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?

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 ?
33. 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 (i ?

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 19 ?
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?

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