66. 1. 16 is of what number?

ANALYSIS. 16 is of 5 times of 16; and 5 times 4 are 20. Therefore, 16 is Or thus: Since 16 ist of some number, which is of, is 1 of 16, or 4; and 4 is or 20. Therefore, &c.

of 16 is 4, af 20. of the number, of 5 times 4,

67. 1. 24 is of how many times 10 ? *

ANALYSIS. 24 is of as many times 10 as 10 is contained times in 5 times of 24; of 24 is 6, and 5 times 6 is 30; 10 is contained in 30, 3 times. Therefore 24 is of 3 times 10.

19. of is of how many times of 15? 20. James gave 56 cents for a pair of skates, which was of what he gave for his sled; what did his sled cost him?

21. A farmer paid $231 for a cow, which was of what he received for a horse; what was the dif ference in the price of the cow and the horse?

22. A man sold 4 cords of wood at $21 a cord, which was of what he received for a ton of hay; how much did he receive for the hay?

*Please turn to 67 in the Appendix, page 170.

23. Paid $7 for a cravat, which was

of what I

paid for a vest; what was the cost of the vest?

24. A gentleman bought a sleigh for $50, which was of 3 times what he paid for a harness; what did the harness cost him?

25. A lady bought a fur cape for $90, which was 10 of what she paid for 12 yards of silk; what was the cost of the silk a yard?

3

26. A merchant sold 5 barrels of flour for $321, which was of what he received for all he had left, at $4 a barrel; how many barrels in all did he sell?

68. 1. † of 20 is how many thirds of 24?

ANALYSIS. of 20 is as many thirds of 24 as of 24 is contained times in 4 times of 20. of 20 is 4, and 4 times 4 is 16; 8 is contained in 16, 2 times. Therefore, of 20 is of 24.

2. of 56 is how many fourths of 28?

of 64 is how many fifths of 60?

3.

4.

of 48 is how many sevenths of 28?

5.

of 108 is how many fourths of 32?

6.

10.

20

25

of 90 is how many twelfths of 84 ?
7. of 160 is how many thirds of 36?
8. 4 of 100 is how many fifteenths of 30?
9. of 103 is how many sixths of 12?
of 37 is how many tenths of 40?
of 422 is how many ninths of 72?
of 788 is how many thirds of 9 ?
of 281 is how many halves of 38?
42 is how many fourths of 44?
96 is how many fifths of 90?
40 is how many ninths of 72?

11.

12.

13.

14. 1 of

15.4 of

16. of

88 is

36 is

15

27 is

69. 1. ğ of 24 is

ANALYSIS.

of 24 is

24; of 24 is 4, 5 times 4 times 10 is 30. Therefore

of what number?

of 3 times of 5 times of is 20; 1 of 20 is 10, and 3 of 24 is 3 of 30.

56 isof what number?

of what number?

of what number?
of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of what number?

of 35 is g of how many times 7?

of as many times 7 as 7 is contained times in 8 times of 3 times of 35; of 35 is 5, and 3 times 5 is 15; } of 15 is 3, and 8 times 3 is 24; 7 is contained in 24 33 times. Therefore, is of 33 times 7.

70. 1.

ANALYSIS.

of g of how many times 11?

៖

of of how many times 8? 10

of 56 are 3 of 3 times what number?*

of 56 are 8 of 3 times 1 of 9 times } of 4 times of 56; 4 of 56 is 8, and 4 times 8 is 32; of 32 is 4, and 9 times 4 is 36; 1⁄2 of 36 is 12. fore, of 56 are § of 3 times 12.

of 63 are

2.

of 45 are

3.

of 64 are

4.

5.

of 36 are

of 110 are

7.

16

of 80 are

6.

8.

16

10

9

9

There

of 6 times what number? of 9 times what number? of 4 times what number? of 5 times what number? of 8 times what number? of 11 times what number? of 5 times what number? of 10 times what number? of 8 times what number? of 3 times what number? of 4 times what number? 13. A man, being asked his age, answered that if he were 3 times as old, of his age would be 24 years; how old was he?

9.

of 72 are
81 are 13

8 of

14. A gentleman divided his farm between his 2 sons, giving the elder 10 acres more than of the whole, and the younger the remainder, which was 22 acres more than of the whole; how many acres in the farm?

* See 70 in the Appendix, page 170.