1. If 5 boys earn $12, how much will 3 boys earn?

ANALYSIS. Since 5 boys earn $12, one boy earns } of $12, or 12 dollars; and 3 boys earn 3 times 12 dollars, or 36 dollars, equal to 7} dollars.

2. If 5 barrels of flour cost $30, how much will 4 barrels cost?

3. If a horse travel 36 miles in 6 hours, how far does he travel in 2 hours, at the same rate?

4. If 5 yards of ribbon cost 55 cents, how much will 12 yards cost?

5. If 3 dozen eggs cost 60 cents, how much will 5 dozen cost?

6. When 6 yards of muslin cost 48 cents, how much do 10 yards cost?

7. If 10 quarts of milk are worth 60 cents, how much are 3 quarts worth?

8. George can earn 80 dollars in 5 weeks; how much can he earn in 3 weeks?

9. If 5 weeks' board cost $20, how much do 8 weeks' board cost?

10. If 5 tons of coal are worth $26, how much are 3 tons worth?

11. If 4 quarts of oil cost 60 cents, how many quarts can I buy for 75 cents?

12. What is the cost of 8 dozen of eggs, if 5 dozen cost 70 cents?

13. If a coach travels 40 miles in 8 hours, how far does it travel in 10 hours?

14. How much will 15 cows cost if 5 cost $75?

15. If 20 brooms cost $5, how many brooms can be bought for $12?

16. If I exchange 10 yards of silk at 90 cents a yard for butter, how much butter do I get if 4 pounds of butter are worth $1.20?

17. At the rate of 10 cents a dozen how many apples can I get for 25 cents?

18. A farmer sells 15 hens worth 40 cents each, and takes in exchange coffee worth 30 cents a pound; how many pounds of coffee does he get?

19. If 4 men can do a piece of work in 6 days, how long will it take 12 men to do the same work?

ANALYSIS.-If 4 men can do a piece of work in 6 days, it will take 1 man 4 times 6 days, or 24 days, to do the work, and 12 men will do it in1⁄2 of 24 days, or 2 days.

20. How long will it take 1 man to do a piece of work if 6 men do the same work in 3 days?

21. If 6 men do a piece of work in 4 days, how many men will be required to do the same work in 1 day?

22. If 8 men can dig a cellar in 5 days, how long will it take 4 men to dig it? 5 men? 10 men?

23. If 5 men can build a wall in 12 days, how many men will it take to build it in 1 day? In 6 days? In 10 days? 24. A laborer agrees to work 4 months for 60 dollars; if he work 6 months, how much does he receive?

25. If 3 men do the carpenter work on a house in 20 days, how long would it have taken 5 men to do it?

26. If 4 men can build a stone wall in 15 days, how many men could have built it in 12 days? In 5 days? In 6 days?

2.

COMPARISON OF FRACTIONS WITH INTEGERS.

1. If of a dozen eggs cost 14 cents, how much will 4 dozen cost?

ANALYSIS.-If of a dozen of eggs cost 14 cents, 12 of a dozen will cost of 14 cents, or 2 cents; 12, or 1 dozen, will cost 12 times 2 cents, or 24 cents; and 4 dozen will cost 4 times 24 cents, or 96 cents.

2. If of the price of a book is 30 cents, what is the full price?

3. How old am I if of my age is 24 years?

4. If $30 is of what a man paid for a cow, how much did she cost?

5. When 2 pounds of butter cost 90 cents, what is the cost of 6 pounds?

6. Mr. A paid $150 for a horse, and a cow cost as much; how much did the cow cost?

7. What is the cost of 10 sheep if 3 of 8 dollars is the cost of 1 sheep?

8. I bought some grain for $120, which is of what I sold it for; how much did I gain?

9. George earned $15, which is of what he already had; how much had he at first?

10. Henry lost 12 marbles, which is of his number at first; how many has he remaining?

11. George ate 8 plums, which is of the number he has remaining; how many had he at first?

12. 9 is of what number?

19. If 16 is

20. If 18 is

of a number, what is 3 times the number? of a number, what is 5 times the number? of what number?

of what number?

31. A hat cost $6, which is the cost of a coat; how much did the coat cost?

32. George is 12 years old, which is of of his father's how old is the father?

age;

33. The cost of a sleigh is $60, which is of the cost of a carriage; what is the cost of the carriage?

34. A boy has 20 hens, and this is of of his brother's number; how many has the brother?

35. A watch is worth $75, which is of 5 times what a chain cost; what is the cost of the chain?

36. If a wagon is sold for $100, which is g of 2 times its cost, how much is gained?

37. A man sold his house for $2400, which was of 6 times what it cost him; how much did he gain on the sale?

3. .

COMPARISON OF INTEGERS WITH FRACTIONS.

1. If 6 yards of muslin cost 48 cents, how much will 14 yards cost?

ANALYSIS.-If 6 yards of muslin cost 48 cents, 1 yard will cost of 48 cents, or 8 cents; and 14, or 4, yards will cost of 8 cents, or 10 cents. 2. If 3 tons of coal cost $15, how much will of a ton cost?

3. A cow cost $36 and some sheep & as much; how much did the sheep cost?

4. If a dozen eggs cost 24 cents, how much will of a dozen cost?

5. When eggs are worth 30 cents a dozen, how much will 23 dozen cost?

6. If 8 acres of land produce 240 bushels of wheat, how many bushels will 34 acres produce?

7. A farmer had 60 sheep; if he sell of them, how many will he have remaining?

8. If 3 yards of cloth cost $9, how much will of a yard cost?

9. When 4 pounds of tea cost $3, how much will 51⁄2 pounds cost?

10. If 6 bushels of oats cost $2, how much will 23 bushels cost?

11. Henry earned $60 in 10 weeks; how much could he earn in 4 weeks?

12. When 7 bushels of corn cost $54, how much will 103 bushels cost?

13. When 2 pounds of cheese cost 44 cents, how much will 3 pounds cost?

14. If of 4 dozen of eggs cost of a dollar, how much will 24 dozen cost?