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3.

FRACTIONS DIVIDED BY FRACTIONS.

1. If a duck cost of a dollar, how many ducks can I buy for $13?

SOLUTION.-If 1 duck cost of a dollar, for $13, or & dollars, I can buy as many ducks as is contained times in §, or 4 ducks.

2. How many dozen oranges at of a dollar a dozen can I buy for of a dollar?

3. How many melons at of a dollar each can I buy for $21?

4. How many bananas at of a dime each can I get for 6 dimes?

5. When paper is of a dollar a quire, how many quires can I buy for $3?

6. At $1 a yard how many yards of silk can I buy for of a dollar?

7. If 2 oranges cost a dime, how many can I get for 14 dimes?

8. At

of a dollar a yard how many yards of cashmere can I get for $44?

9. If 3 turkeys cost $21, how many can be bought for $71?

10. Harry gave 12 quarts of chestnuts worth 10 cents a quart for muslin at 12 cents a yard; how many yards did he get?

11. How many bushels of potatoes at 3 of a dollar a bushel can be bought for $41?

12. At of a dollar a pound how many pounds of coffee can be bought for of a dollar?

13. How many times is contained in †?

20

SOLUTION 1.- equals 15, and equals 16; 15 is contained in 18 as often as 15 is contained in 16, or 11 times.

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26. At $3 apiece how many sheep can be bought for $19?

27. If 3 baskets of peaches are worth $2, how many baskets are worth $23?

28. A farmer divided his land, 85 acres, among his 3 sons; how much did each get?

of a mile in a minute, how long will of a mile?

29. If a boy can run it take him to run 30. If I buy 2

6 bushels cost?

bushels of potatoes for $1, how much will

31. If a turkey cost $13, how many turkeys at the same rate can be bought for $8%?

32. If a man can do a piece of work in 84 days, how many

men will be required to do the work in 2

days?

of a dollar a quart of a dollar a

33. How many quarts of berries at can be bought for 3 bushels of wheat worth bushel?

34. A woman exchanged 6 dozen of eggs at of a dollar

a dozen for coffee at of a dollar a pound; how much coffee did she get?

35. A farmer sold 22 pounds of butter at of a dollar a pound, and took in exchange cloth at of a dollar a yard; how much cloth did he get?

COMPLEX FRACTIONS.

A Complex Fraction is an indicated division, in which either the numerator or the denominator or both are fractions.

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SOLUTION.-The fraction

31

is equivalent to divided by 3, or 15.

Since equals 3 and 4 equals 18, § divided by 3 is equal to 16 divided by 96, or .

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10. A man's wages are $23 a day; how long does it take him to earn $133 ?

11. If 4 pounds of meat cost 49 cents, how much does it cost per pound?

12. If 1⁄2 of of a ton of coal cost $13, how much will a ton cost?

RELATION OF NUMBERS.

1.

RELATION OF INTEGERS TO INTEGERS.

1. If 2 apples cost 3 cents, how much will 10 apples cost? SOLUTION. If 2 apples cost 3 cents, 10 apples, or 5 times 2 apples, will cost 5 times 3 cents, or 15 cents.

2. If 2 bananas cost 5 cents, how much will 6 bananas cost? 3. If 3 pencils cost 10 cents, how much will 12 pencils cost? 4. If 5 boys earn $3, how much will 20 boys earn in the same time?

5. What is the relation of 30 to 5?

ANS. 30 is 6 times 5.

What is the relation

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11. If $20 buy three sheep, how many may be bought for $60?

12. If 20 cents buy a dozen of eggs, how many eggs will 30 cents buy?

13. If a man can walk 10 miles in 3 hours, how far can he walk in 9 hours?

14. If 10 cents buy 4 oranges, how many oranges will 5 cents buy?

15. If 5 horses cost $750, how much will 10 horses cost? 16. What is the cost of 3 cows if 9 cows cost $360? 17. A merchant sold shoes at the rate of 2 pairs for $7; how many pairs can I get at the same rate for $21 ? 18. If $15 buy 12 turkeys, how many will $5 buy?

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