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LESSON XXVII.

8 is 1 fourth of what number? 8 is 1 third of what number? 7 is 1 fifth of what number? 9 is 1 fourth of what number? 5. 12 is 1 third of what number? 6. 15 is I sixth of what number? 7. 18 is 1 tenth of what number? 6 is 3 fourths of what number? 12 is 2 fifths of what number?

8.

9.

10.

11.

8 is 4 fifths of what number?

9 is 3 sixths of what number? 12. 10 is 5 eighths of what number? 13. 16 is 4 ninths of what number? 14. 18 is 9 tenths of what number? 15. 20 is 4 fifths of what number? 16. 24 is 6 eighths of what number? 17. 30 is 3 elevenths of what number? 18. 14 is 7 eighths of how many times 4? 19. 9 is 3 fourths of how many times 6? 20. 10 is 5 sixths of how many times 4? 21. 24 is 3 ninths of how many times 12? 22. 20 is 4 fifths of how many times 5? 23. 24 is 4 fifths of how many times 10? 24. 18 is 3 ninths of how many times 6? 25. 30 is 3 fifths of how many times 10? 26. 28 is 4 sevenths of how many times 7? 27. 24 is 4 twelfths of how many times 9? 28. 15 is 1 fourth of 5 times what number? 29. 18 is 1 third of 6 times what number? 30. 12 is 1 sixth of 8 times what number? 31. 22 is 1 half of 11 times what number? 32. 30 is 1 third of 15 times what number? 33. 16 is 1 seventh of 8 times what number? 34. 9 is 1 ninth of 9 times what number?

35. 36.

36 is 1 tenth of 20 times what number? 5 eighths of 32 are how many times 5? 37. 6 eighths of 48 are how many times 12? 38. 7 ninths of 54 are how many times 6? 39. 4 tenths of 70 are how many times 7? 40. 3 elevenths of 44 are how many times 6? 41. 5 twelfths of 84 are how many times 7? 42. 8 sevenths of 63 are how many times 8? 43. 4 times 3 and 2 thirds of 3 are how many ? 44. 5 times 4 and 3 fourths of 4 are how many 45. 7 times 6 and 4 sixths of 6 are how many ? 46. 8 times 4 and 3 fourths of 4 are how many? 47. 5 times 7 and 4 sevenths of 7 are how many?

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48. 9 times 8 and 7 eighths of 8 are how many ? 49. 6 times 9 and 5 ninths of 9, are how many ? 50. 5 times 9 and 3 ninths of 9 are how many? 51. 8 times 10 and 9 tenths of 10 are how many times 5?

52. 7 times 7 and 5 sevenths of 7 are how many times 6?

53. 9 times 12 less 11 twelfths of 12 are how many times 10?

54. 10 times 11 less 7 elevenths of 11 are how many times 8?

55. 2 thirds of 9 is 1 fourth of what number? 56. 3 fourths of 12 is 1 third of what number? 57. 4 fifths of 15 is 3 fifths of what number? 58. 5 ninths of 36 is 2 fifths of how many times 10?

59. 4 tenths of 30 is 2 thirds of how many times 3?

60. 5 sixths of 18 is 3 fifths of how many times 5?

61. 6 tenths of 20 is 1 seventh of what number? 62. 5 twelfths of 60 is how many times 1 sixth of 30?

LESSON XXVIII.

1. If a melon costs 8 cents, what will 1 fourth of a melon cost?

2. At $5 a yard, what will 1 fifth of a yard cost?

3. At $6 a ton, what will 7 sixths of a ton cost?

4. At $12 a barrel, what will 1 barrel and 1 sixth of a barrel of flour cost?

5. When a man is working for $15 a week, how much does he earn in 2 weeks and 1 fifth of a week?

6. At 16 cents a pound, what cost 3 pounds and 3 fourths of a pound of sugar?

7. At $8 a cord, what cost 4 cords and 3 fourths of a cord of wood?

8. At 6 dimes a bushel, what cost 10 bushels and 2 thirds of a bushel of corn?

9. A teacher, being asked how many scholars he had, replied that the smallest number that ever had been present was 18, which was just 3 ninths of his whole number; how many had he?

10. Sold a horse for $150, which was 5 thirds of what he cost; what did he cost?

11. I have $4, which is 1 fifth of what I divided among 10 men; how much did each receive?

12. William has 63 cents in his pocket, which is 9 fifths of what he has in his money-box; how much has he in his money-box?

13. A boy, being asked how many chickens he had, answered that his largest brood contained 20, which was 4 fifths of the whole number, and the whole number was 5 times as many as he had in the smallest brood; how many had he, and how many were there in the smallest brood?

14. A farmer had 42 sheep, and sold 5 sevenths of them to 5 of his neighbors, each receiving an equal number; how many did each receive?

15. I had 24 cherries, but have divided 5 sixths of them among 10 children; how many does each receive?

16. A gentleman had 36 pears, and gave 1 sixth of them to Frank, and divided the remainder equally among his 5 brothers; how many did Frank receive more than each of his brothers?

17. At 10 cents a pound, what cost 20 pounds and 3 tenths of a pound of raisins?

18. At 18 cents a pound, what cost 8 pounds and 5 ninths of a pound of butter?

19. Henry gave $5 for a vest, which was just 1 half of 4 times as much as he gave for a hat; how much did he give for the hat?

20. What cost 5 barrels of flour, if 1 tenth of a barrel cost 9 dimes?

21. John has 20 cents, which is 4 fifths of 5 times as many as Joseph has; how many has Joseph ?

22. Emma is 12 years old, and 7 sixths of her age is just 7 eighths of her sister's age; what is her sister's age?

23. A pier of a certain bridge stands 10 feet in the water, which is 2 fifths of the height of the pier lacking 5 feet; what is the height of the pier?

24. Bought 4 pounds and 3 fourths of a pound of rice at 8 cents a pound, and paid for it with berries at 5 cents a quart; how many quarts did it take?

25. Bought a watch for $40, and a chain for $5 more than 2 fifths the cost of the watch; what did both cost?

26. Sold a hogshead of molasses for $36, which was 9 eighths of what it cost; what did it cost?

27. A farmer has 6 cows, and 2 thirds the number of cows is equal to 1 fourth the number of his sheep; how many sheep has he?

28. Four boys wished their father to divide 50 cents equally among them. "No," said he; "but I will give you 4 fifths of it, and one half of the remaining fifth to the one that will tell how to divide it; " how much would the one who could tell receive?

29. If 6 pounds of sugar cost 96 cents, what cost 5 eighths of a pound?

30, A man, wishing to draw the water from a well containing 120 gallons, found that while he could draw out 12 gallons in a minute, 2 thirds as many gallons would run in during the same time; how long would it take him to exhaust the well?

31. Bought 9 yards of broadcloth for $36, which was 4 fifths of its real value; what was its real value per yard?

32. James, in reciting, had given in one day 8 imperfect answers, and 3 fourths of the imperfect answers were just 2 thirds of the number of perfect answers; how many perfect answers had he given?

33. In a small basket there are 12 pears, and 2 thirds of these are 2 sixths of the number in a large basket; if the whole be divided among 4 boys, how many will each receive?

34. A pole stands 3 fifths in the water, 1 half of the remainder in the mud, and 4 feet above the water; what is the length of the pole?

35. Frank had 2 bags filled with nuts, and his brother wished to buy 1 of them. "William, said Frank, I have 9 quarts in the smaller bag, and 2 thirds of that number is just 1 half the number of quarts in the larger bag; and if you will