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70. 1.

of 45 are

ANALYSIS.

of 56 are 8 of 3 times what number?"

of 56 are of 3 times 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; of 36 is 12. fore, of 56 are & of 3 times 12.

2.

There

of 6 times what number?

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of 8 times what number?
of 3 times what number?
of 4 times what number?
his age, answered that if
of his age would be 24

12. of of 70 are 13. A man, being asked he were 3 times as old, years; how old was he?

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.

15. A coal merchant sold 2 of what coal he had on hand for $90, at the rate of $6 a ton; how many tons had he?

16. Bought a piano for $300, and of the cost of the instrument was of what I received of 9 young ladies for its use one year; how much did each oung lady pay for its use?

17. The tools in a shop are worth $80; of this is of of 2 times the value of the stock; what is the value of the stock?

18. A peddler, after selling $200 worth of his stock in trade, finds that of the remainder is equal to of 3 times the amount sold; what amount of stock had he at first?

19. A merchant, after selling from a cask of wine 15 gallons more than of the whole, found that the number of gallons left was just 3 times the number of gallons sold; how many gallons did the cask contain at first?

20. If a store be worth $1000, and of the value of the store be equal to 8 of 23 times the value of the goods it contains, what is the value of the goods?

66

21. Two boys, comparing their money, one said he had 50 cents; the other said, " of your money is just of 6 times my money; how many cents had the latter boy?

22. The distance from Boston to Albany is 200 miles, and of this distance is times the distance from Albany to Niagara Falls, lacking 5 miles; what is the distance from Boston to Niagara Falls?

23. The distance from Chicago to Alton is 268 miles, and of this distance plus 15 miles, is 4 times gof the distance from Alton to St. Louis; what is the distance from Chicago to St. Louis?

24. 40 is of of of 8 times what number?

71. 1. of 35 is 5 of how many thirds of 18?*

ANALYSIS. Of as many thirds of 18 as of 18 is contained times in 9 times of 4 times 4 of 35; 4 of 35 is 5, and 4 times 5 is 20; of 20 is 4, and 9 times 4 is 36; of 18 is 6, and 6 is contained in 36, 6 times. Therefore, of 35 is 5 of 6 thirds of 18.

2. of 42 is
of 96 is g

3.

4.

of 180 is

5.

of 84 is

6. 2

of 100 is

7.

of 45 is

8.11 of

77 is

9. 1 of

30 is

10.

of

28 is

11.

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12

9

of how many fifths of 35?

of how many eighths of 24? of how many tenths of 50? of how many sixths of 48? of how many ninths of 45? of how many halves of 48? of how many twelfths of 72? of how many thirds of 21? of how many fourths of 24? of how many twelfths of 60? of how many fourths of 40? of how many eighths of 72? of how many ninths of 180? of of 18 is 4 times what part of 35?

of

20

11

11

25

ANALYSIS. Such a part of 35, as 35 is contained times in of 5 times of 6 times of 18; of 183 6, and 6 times 6, is 36; 1 of 36 is 4, and 5 times 4 3 20; of 20 is 5, and 35 is contained in 5, 355 or 4 times. Therefore of § of 18 is 4 times 4, or 4, of 35 of 40 is 3 times what part of 24? of 49 is 2 times what part of 28? of 100 is 9 times what part of 25? of 48 is 7 times what part of 35? 60 is 7 times what part of 64? 80 is 3 times what part of 96?

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* Observe the "changes" in the Appendix, 71, page 171.

of

72. 1. of 36 is 4 of how many times 2 of 42 ?* ANALYSIS. Of as many times of 42 as 2 times of 42 is contained times in 9 times of 4 times 36; 1 of 36 is 12, and 4 times 12 is 48; of 48 is 12, and 9 times 12 is 108; of 42 is 6, and 2 times 6 is 12, and 12 is contained in 108, 9 times.

of 36 is of 9 times 2 of 42.

Therefore

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15.

of of 36 is off of how many times of of 120?

16. A man pays $400 rent, and of this is just of of twice his annual income; what is his annual income?

17. A boy being asked his age said that 18 years was 2 years less than times of his age; how old was he?

18. The distance from Baltimore to Washington is 39 miles; if 5 miles be subtracted from of this

For "changes" see Appendix, 72, page 173

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