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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

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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?

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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?

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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 fourteen 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?

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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
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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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