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answered, that his youngest son was six years old, and that 2 thirds of the youngest son's age was just 1 fifth of the eldest son's age. Required the age of the eldest son ?

2. 2 thirds of 6 is 1 fifth of what number?

3. A man, being asked how many sheep he had, said that he had them in two pastures; in one pasture he had eight; and that 3 fourths of these was just 1 third of what he had in the other. How many were there in the other?

4. 3 fourths of 8 is 1 third of what number?

5. Two boys talking of their ages, one said he was 9 years

old. Well, said the other, 2 thirds of your age is exactly 3 fourths of my age, now, if

you

will tell me how old I am, I will give you as many apples as I am years old.

What was his age ? 6. 2 thirds of 9 is 3 fourths of what number?

7. Two boys counting their money, one said he had ten cents. The other says, 4 fifths of your money

is exactly 2 sevenths of mine ; now, if you will tell how many I have, I will give you 1 half of them. How

many had he?

8. 4 fifths of 10 is 2 sevenths of what number? 9. 5 sixths of 12 is 2 thirds of what number? 10. 6 sevenths of 14 is 4 ninths of what number? 11. 6 fifths of 15 is 2 thirds of what number? 12. 7 ninths of 18 is 2 fifths of what number? 13. 4 fifths of 20 is 8 sevenths of what number? 14. 8 sevenths of 21 is 6 tenths of what number?

15. 5 sixths of 24 is 10 sevenths of how many times 5 ?

16. 3 sevenths of 28 is 2 eighths of how many times 7 ?

17. 4 fifths of 30 is 6 sevenths of how many times 8?

18. 6 eighths of 32 is 8 ninths of how many times

19. 4 ninths of 36 is 8 tenths of how many times 6 ?

20. 3 fourths of 40 is 5 sevenths of how many times 8?

21. 6 ninths of 45 is 3 fifths of how many times 7. ?

22. 5 sixths of 48 is 10 sevenths of how many times 3 ? 23. 4 sevenths of 63 is 6 fifths of how

many

times 8? 24. 5 ninths of 72 is 4 sevenths of how

many

times 9? X

B. 1. 4 fifths of 15 is 6 tenths of how many thirds of 21 ?

2. 4 thirds of 18 is 8 ninths of how many sevenths of 35 ? 3. 6 sevenths of 21 is 2 thirds of how

many

thirds of 24 ?

4. 5 fourths of 24 is 10 sevenths of how many fifths of 40 ?

5. 5 eighths of 32 is 2 fifths of how many fifths of 35 ?

6. 4 sevenths of 63 is 6 eighths of how many ninths of 45 ?

7. 3 sevenths of 56 is 4 ninths of how many. fourths of 28 ?

8. 3 eighths of 64 is 6 tenths of how many sixths of 30. 9. 2 eighths of 72 is 3 tenths of how many

fifths of 40 ?

C. 1. Two times eleven are how many?

2. Two times twelve are how many ?
3. Two times thirteen are how many?
4. Two times fourteen are how many ?
5. Two times fifteen are how many?

6. Two times sixteen are how many ? 7. Two times seventeen are how many ? 8. Two times eighteen are how many ? 9. Two times nineteen are how many ? 10. Two times twenty are how many

? 11. Three times eleven are how many ? 12. Three times twelve are how many? 13. Three times thirteen are how many? 14. Three times fourteen are how many ? 15. Three times fifteen are how many ? 16. Three times sixteen are how many ? 17. Three times seventeen are how many ? 18. Three times eighteen are how many

? 19. Three times nineteen are how many ? 20. Three times twenty are how many ? 21. Four times eleven are how many? 22. Four times twelve are how many ? 23. Four times thirteen are how many ? 24. Four times fourteen are how many? 25. Four times fifteen are how many ? 26. Four times sixteen are how many? 27. Four times seventeen are how many ? 28. Four times eighteen are how many ? 29. Four times nineteen are how many? 30. Four times twenty are how many ? 31. Five times eleven are how many? 32. Five times twelve are how many ? 33. Five times thirteen are how many? 34. Five times fourteen are how many 35. Five times fifteen are how

many

? 36. Five times sixteen are how many ? 37. Five times seventeen are how many? 38. Five times eighteen are how many ? 39. Five times nineteen are how many? 40. Five times twenty are how many? 41. Six times eleven are how many ? 42. Six times twelve are how many ?

43. Six times thirteen are how many ?
44. Six times fourteen are how many ?
45. Six times fifteen are how many?
46. Six times sixteen are how many ?
47. Six times seventeen are how many ?
48. Six times eighteen are how many ?
49. Six times nineteen are how many ?
50. Six times twenty are how many ?
51. Seven times eleven are how many ?
52. Seven times twelve are how many ?
53. Seven times thirteen are how many ?
54. Seven times fourteen are how many ?
55. Seven times fifteen are how many ?
56. Seven times sixteen are how many ?
57. Seven times seventeen are how many ?
58. Seven times eighteen are how many ?
59. Seven times nineteen are how many ?
60. Seven times twenty are how many ?
61. Eight times eleven are how many ?
62. Eight times twelve are how many

?
63. Eight times thirteen are how many

? 64. Eight times fourteen are how many

? 65. Eight times fifteen are how many

? 66. Eight times sixteen are how many

? 67. Eight times seventeen are how many ? 68. Eight times eighteen are how many ? 69. Eight times nineteen are how many

? 70. Eight times twenty are how many ? 71. Nine times eleven are how many ? 72. Nine times twelve are how many

? 73. Nine times thirteen are how many

? 74. Nine times fourtzen are how many

? 75. Nine times fifteen are how many ? 76. Nine times sixteen are how many

? 77. Nine times seventeen are how many ? 78. Nine times eighteen are how many ? 79. Nine times nineteen are how many ?

?

80. Nine times twenty are how many

? 81. Ten times eleven are how many

? 82. Ten times twelve are how many

? 83. Ten times thirteen are how

many

? 84. Ten times fourteen are how many ? 85. Ten times fifteen are how

many

? 86. Ten times sixteen are how many

? 87. Ten times seventeen are how many

? 88. Ten times eighteen are how many

? 89. Ten times nineteen are how many ? 90. Ten times twenty are how many ?

SECTION VIII.

A. 1. If you cut an apple into two equal parts, what is one of those parts called ? *

2. How many halves of an apple will make the whole apple?

3. If you cut an apple into 3 equal parts, what is 1 of those parts called ? what are 2 of the parts called ?

4. How many thirds of an apple will make the whole apple?

5. If you cut an apple into 4 equal parts, what is 1 of those parts called ? what are 2 of those parts called ? what are 3 of them called ?

6. How many fourths of an apple make the whole apple?

7. If an apple be cut into 5 equal parts, what is 1 of the parts called ? what are 2 of the parts called ? what are 3 of the parts called ? what are 4 of the parts called ?

* See Section III, article B, remark before question 1 and 17.

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