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that a yard? What would 3 yards cost? What would

8 yards cost?

62. What is 3 fifths of 17 ?
63. What is 8 fifths of 17 ?
64. What is 5 sevenths of 20 ?
65. What is 2 ninths of 22 ?..
66. What is 3 eighths of 27?
67. What is 2 thirds of 28 ?
68. What is 3 fourths of 31 ?

69. If 5 loads of hay cost 47 dollars, what is that a load? What will 2 loads cost? What will 7 loads cost? What will 12 loads cost?

70. What is 2 fifths of 47?
71. What is 7 fifths of 47 ?
72. What is 12 fifths of 47?
73. What is 4 sevenths of 48?
74. What is 4 ninths of 50?
75. What is 2 sevenths of 58 ?
76. What is 3 eighths of 61?
77. What is 4 tenths of 73 ?
78. What is 8 ninths of 65 ?
79. What is 9 tenths of 78 ?
80. What is 7 eighths of 70?

B. 1. If you divide 7 apples equally between 2 boys, how many would you give them apiece? 2. How can you divide 5 oranges equally among 3 persons?

3. Divide 3 bushels of corn equally among 5 men, how much would you give them apiece?

4. A boy had 7 pears, and gave away 3 fifths of them; how many did he give away? and how many had he left?

5. If 2 yards of cloth cost 3 dollars, what is that a yard?

6. If 4 yards of cloth cost 2 dollars, what is that a yard?

[Let the answers be given in dollars and cents or in shillings. 1 dollar is 100 cents.]

7. If 5 bushels of corn cost 7 dollars, what is that a bushel ?

8. If a man receive 8 dollars for 6 days' work, what is that per day?

9. If 3 bushels of wheat cost 8 dollars, what will 2 bushels cost?

10. A man had 30 dollars, and gave away 3 sevenths of it; how much did he give away?

11. If 4 yards of cloth cost 10 dollars, what will 3 yards cost?

12. If 3 barrels of cider cost 8 dollars, what will 10 barrels cost?

13. If 7 pounds of flour cost 40 cents, what will 10 pounds cost?

14. If 4 firkins of butter cost 26 dollars, what will 7 firkins cost?

15. If 3 men can do a piece of work in 7 days, how long will it take 1 man to do it? How long would it take 4 men?

16. If 2 cocks will empty a cistern in 3 hours, in how long a time would I empty it? In how long a time would 7 cocks empty it?

SECTION XI.

A. 1. BOUGHT 1 half of a yard of cloth for 1 dollar and I half; what was that a yard?

2. 1 and 1 half is the half of what number ?* 3. If I third of a yard of cloth cost 1 dollar and 3 fourths of a dollar, how much does a yard cost? * See sect. VI. art. A., and sect. IX. art. B.

4. 2 and 3 fourths is 1 third of what number? 5. If 1 half of a barrel of beer cost 2 dollars and 1 fourth of a dellar, how much will a barrel cost?

6. 2 and 3 fourths is one half of what number? 7. If 1 fourth of a box of lemons cost 3 dollars and 2 thirds of a dollar, what will a box cost? 8. 2 and 2 thirds is 1 fourth of what number? 9. 3 and 1 half is 1 fourth of what number? 10. If 1 third of a barrel of pork cost 4 dollars and 1 third of a dollar, what will 1 barrel cost?

11. 4 and 2 thirds is 1 third of what number? 12. If 1 sixth of a barrel of fish cost 2 dollars and 1 fifth of a dollar, what will a barrel cost?

13. 3 and 2 fifths is 1 sixth of what number? 14. If 1 fifth of a barrel of salmon cost 3 dollars and 2 sevenths of a dollar, what is that a barrel ? 15. 4 and 3 sevenths is 1 fifth of what number? 16. If a man can travel 4 miles and 3 sevenths of a mile in 1 ninth of a day, how far will he travel in a whole day?

17. 5 and 3 sevenths is 1 ninth of what number? 18. 2 and 4 fifths is 1 seventh of what number? 19. 6 and 3 eighths is 1 eighth of what number? 20. 7 and 5 sixths is 1 third of what number? 21.8 and 3 sevenths is 1 fourth of what number? 22. 5 and 3 tenths is 1 seventh of what number? 23. 8 and 5 ninths is 1 fifth of what number? 24. 9 and 4 fifths is 1 eighth of what number? 25. 6 and 4 tenths is 1 tenth of what number? 26. 7 and 4 ninths is 1 fifth of what number? 27. 8 and 7 tenths is 1 seventh of what number ?

B. 1. If 2 thirds of a barrel of beef cost 3 dollars, what does 1 third of a barrel cost?

2. 3 is 2 times what number ?*

See section VI, article B.

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Ans. 3 is 2 times the half of 3; but 1 half of 3 is 3 halves, or 1 and 1 half,* therefore 3 is 2 times 1 and 1 half.

3. If 3 fifths of a yard of cloth cost 4 dollars, what will 1 fifth of a yard cost?

4. 5 is 3 times what number?

5. If 3 sevenths of a barrel of pork cost 2 dollars, what will I seventh of a barrel cost?

6. 2 is 3 times what number?

7. If 4 thirds of a bunch of shingles cost 5 dollars, what does 1 third of a bunch cost?

8. 7 is 4 times what number?

9. 2 is 4 times what number?

10. A man bought 4 ninths of a barrel of flour for three dollars; what would be the price of 1 ninth of a barrel at the same rate?

11. 5 is 4 times what number?

12. A man bought 5 eighths of a hundred weight of sugar for 6 dollars; what would 1 eighth of a hundred weight cost at the same rate?

13. 7 is 5 times what number? 14. 3 is 5 times what number? 15. 8 is 5 times what number? 16. 9 is 4 times what number? 17. 11 is 6 times what number? 18. 13 is 7 times what number? 19. 14 is 8 times what number? 20. 17 is 5 times what number? 21. 18 is 8 times what number? 22. 17 is 9 times what number? 23. 15 is 10 times what number? 24. 20 is 9 times what number? 25. 22 is 10 times what number?

26. 24 is 7 times what number?

27. If 2 thirds of a barrel of beef cost 3 dollars,

* See section X, article A.

what will 1 third of a barrel cost? What will the whole barrel cost?

28. *If 5 is 2 thirds of some number, what is 1 third of the same number? 2 and 1 half is 1 third of what number? Then 5 is two thirds of what number? 29. If 3 fourths of a barrel of flour cost 5 dollars, what will 1 fourth of a barrel cost? What will the whole barrel cost?

30. If 8 is 3 fourths of some number, what is 1 fourth of the same number? 2 and 2 thirds is 1 fourth of what number? Then 8is 3 fourths of what number?

31. A man bought 2 sevenths of a barrel of oil for 5 dollars, how much will 1 seventh cost at the same rate? How much would a barrel cost?

32. If9 is 2 sevenths of some number, what is 1 seventh of the same number? 4 and 1 half is 1 seventh of what number? Then 9 is 2 sevenths of what number?

33. Bought 5 eighths of a chaldron of coal for 7 dollars, what is the price of 1 eighth at the same rate? What is the price of the whole chaldron ?

34. If 12 is 5 eighths of some number, what is 1 eighth of the same number? 2 and 2 fifths is 1 eighth of what number? Then 12 is 5 eighths of what number?

35. If a man can do 7 ninths of a piece of work in 4 days, how long would it take him to do 1 ninth of it? How long would it take him to do the whole ?

36. If 3 is 7 ninths of some number, what is 1 ninth of the same number? 3 sevenths is 1 ninth of what number? Then 3 is 7 ninths of what number? 37. If 3 fifths of a chaldron of coal cost 8 dollars, what is the whole chaldron worth?

38. 7 is 3 fifths of what number?

39. A man bought 6 sevenths of a cask of raisins for 5 dollars; what was the whole cask worth? 40. 8 is 6 sevenths of what number?

* See section VI, article B, examples 3 and following.

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