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. 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. 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 . 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 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? |