21. If it take a man 4 months to earn 38 dollars, how much does he earn in 1 month?

22. What is 1-fourth of 38?

23. If 6 barrels of superfine flour cost 35 dollars, what is the price of 1 barrel of it?

24. What is 1-sixth of 35?

25. Suppose 39 bushels of corn to grow upon 1 acre;-how much corn will 1-fifth of an acre produce? 26. What is 1-fifth of 39?

27. If 2 dollars will pay for 13 pounds of butter, how many pounds can be bought for 1 dollar?

28. What is 1-half of 13?

29. If 8 dollars will pay for 78 pounds of cheese, how many pounds will 1 dollar pay for?

30. What is 1-eighth of 78?

31. Suppose 10 men drink 55 gallons of beer in month;-how much will 1 man drink in a month? 32. What is 1-tenth of 55?

33. Suppose 7 acres of land to produce 60 dollars' worth of hay;-what is the value of the hay which 1 acre of the land produces?

34. What is 1-seventh of 60?

35. If 1 man can clear a piece of wood-land in 29 days, in what number of days would 5 men clear it?

Instruction. Consider that 5 men can do 5 times as much work in a day, as 1 man can do: consequently, it will take 5 men only 1-fifth of the time that it will take 1 man to clear the land.

36. How many days will it take 7 men to do a piece of work, that 1 man can do in 46 days?

37. If 1 man will drink a firkin of beer in 50 days, how many days will it last 6 men?

38. Suppose 24 men can hoe a piece of corn in 1 day; what number of men must be employed to hoe it in 8 days? Suggestion. Each man, that shall be employed, can do 8 times as much work in 8 days, as he can in 1 day. 39. If 40 men can build a wall in 1 day, what number of men must be employed to build it in 4 days?

40. If a cistern can be discharged by 1 faucet in 19 hours, in what time can it be discharged by 3 faucets?

SECTION 22.

1. If a smith can make 5 cups from 12 ounces of silver, how much silver is required to make 3 cups?

Direction. First find how much silver would make 1 cup; then, 3 times that quantity would make 3 cups. 2. What is 3 times 1-fifth of 12?

Solution. 1-fifth of 12 is 2 and 2-fifths.

3 times 2

is 6; 3 times 2-fifths is 6-fifths, or 1 and 1-fifth. 6 plus 1 and 1-fifth is 7 and 1-fifth.

Then

3. If 22 bushels of wheat will make 4 barrels of flour, how much wheat will make 6 barrels of flour?

4. What is 6 times 1-fourth of 22?

5. Suppose the equipments for 8 soldiers to cost 75 dollars; what would be the expense of equipping 5 soldiers? 6. What is 5 times 1-eighth of 75?

7. If 29 tons of hay will keep 9 horses through the winter, how many tons would 6 horses require?

8. What is 6 times 1-ninth of 29?

9. Suppose 7 acres of pasturage to be worth 65 dollars; what is 3 acres of the same pasturage worth? 10. What is 3 times 1-seventh of 65?

11. If 8 acres of pasturage will keep 35 sheep, how many sheep would be sufficient to for 6 acres?

12. What is 6 times 1-eighth of 35?

13. Suppose a man to eat 50 pounds of beef in 8 weeks; what number of pounds would he eat in 9 weeks? 14. What is 9 times 1-eighth of 50?

15. If it take 36 yards of broad-cloth to make 10 suits of clothes, how many yards would make 4 suits? 16. What is 4 times 1-tenth of 36?

17. A trader gave 59 dollars for 9 barrels of flour, and sold 3 barrels of it, at the same price per barrel that he gave. For how much did he sell the 3 barrels?

18. What is 3 times 1-ninth of 59?

19. If 6 pounds of brown sugar be sold for 52 cents, what would be the price of 5 pounds of it?

20. What is 5 times 1-sixth of 52?

21. If 8 scholars use 18 quires of paper in a month, how many quires would 10 scholars use in a month? 22. What is 10 times 1-eighth of 18?

23. Suppose a stage to run 58 miles in 7 hours; what distance does it run in 6 hours ?

24. What is 6 times 1-seventh of 58?

25. If a mill grind 17 bushels of corn in 2 hours, how many bushels will it grind in 7 hours?

26. What is 7 times 1-half of 17?

27. Albert paid 61 cents for 9 writing-books, and William bought 7 writing-books, paying at the same rate. How much did William's books cost him?

28. What is 7 times 1-ninth of 61 ?

29. Suppose a hunter gets 8 pounds of gunpowder in exchange for 44 pounds of venison; how many pounds of venison must he give for 10 pounds of powder? 30. What is 10 times 1-eighth of 44 ?

SECTION 23.

1. When writing paper is sold at 20 cents a quire, what is the price of 1-third of a quire?

2. If 1-third of a quire of paper is worth 6 cents and 2-thirds, what is 2-thirds of a quire worth?

3. What is 1-third of 20?

2-thirds of 20?

4. Suppose a yard of ribbon to be worth 23 cents; what is 1-fourth of a yard worth?

5. If 1-fourth of a yard of ribbon is worth 5 cents and 3-fourths, what is 2-fourths of a yard worth?

Solution. 2-fourths of a yard is worth 2 times 5 cents and 3-fourths. 2 times 5 cents are 10 cents; 2 times 3-fourths of a cent are 6-fourths of a cent, or 1 cent and 2-fourths. 10 cents plus 1-cent and 2-fourths, are 11 cents and 2-fourths.

6. What is 1-fourth of 23? 2-fourths of 23?

7. Suppose a pound of white sugar to be worth 23 cents; what is 1-fifth of a pound worth?

S. If 1-fifth of a pound of sugar is worth 4 cents and 3-fifths, what is 3-fifths of a pound worth?

9. What is 1-fifth of 23? 3-fifths of 23?

Solution.

1-fifth of 23 is 4 and 3-fifths...... 3-fifths of 23 is 3 times 4 and 3-fifths. 3 times 4 is 12: 3 times 3-fifths are 9-fifths, or 1 and 4-fifths. 12 plus 1 and 4fifths is 13 and 4-fifths.

10. Suppose a man can walk 34 miles in a day, what distance can he walk in 1-sixth of a day?

11. If a man walk 5 miles and 4-sixths, in 1-sixth of a day, how far will he walk in 5-sixths of a day?

12. What is 1-sixth of 34? 5-sixths of 34?

13. Suppose a bushel of corn to be worth 65 cents; what is 1-seventh of a bushel worth?

14. If 1-seventh of a bushel of corn cost 9 cents and 2-sevenths, what will 3-sevenths of a bushel cost?

15. What is 1-seventh of 65? 3-sevenths of 65? 16 Suppose 1 dollar will pay for 35 pounds of rice; how much rice will 1-eighth of a dollar buy?

17. If 1-eighth of a dollar will buy 4 pounds and 3 eighths, how much will 5-eighths of a dollar buy?

18. What is 1-eighth of 35? 5-eighths of 35?

19. Suppose a man earns 70 cents a day; how much does he earn in 1-ninth of a day?

20. If a man can earn 7 cents and 7-ninths, in 1-ninth of a day, how much can he earn in 8-ninths of a day? 21. What is 1-ninth of 70? 8-ninths of 70?

22. Suppose an acre of land will produce 43 bushels of oats; what will 1-tenth of an acre produce?

23. If 1-tenth of an acre produce 4 bushels and 3tenths, what will 7-tenths of an acre produce?

24. What is 1-tenth of 43? 7-tenths of 43?

25. If a yard of cloth will pay for 30 pounds of cheese, how many pounds will 3-fourths of a yard buy?

Direction. First find how many pounds 1-fourth of a yard will pay for.

26. A farmer sold 4-fifths of a ton of hay, for oats, allowing 32 bushels of oats to be worth the same as a ton of hay. How many bushels of oats did he receive? 27. What is 4-fifths of 32 ?

28. Suppose 1 dollar will pay for 38 pounds of rice; for how many pounds will 8-tenths of a dollar pay? 29. What is 8-tenths of 38?

30. A man bought a piece of land containing 1 acre and 4-sixths, and paid at the rate of 40 dollars per acre. How much did he pay for the land?

31. What is 40 plus 4-sixths of 40?

SECTION 24.

1. Suppose 3-fourths of a yard of flannel to cost 32 cents; what does 1-fourth of a yard cost? What would a yard cost?

Solution. If 3-fourths of a yard cost 32 cents, 1fourth of a yard costs 1-third of 32 cents. 1-third of 32 cents is 10 cents and 2-thirds of a cent...... 4-fourths, or a whole yard would cost 4 times 10 cents and 2-thirds. 4 times 10 cents are 40 cents; 4 times 2-thirds are 8thirds, equal to 2 and 2-thirds. Then, 40 cents plus

2 cents and 2-thirds are 42 cents and 2-thirds.

2. 32 is 3-fourths of what number?

Solution. Since 32 is 3-fourths of the number, 1third of 32 is 1-fourth of it. 1-third of 32 is 10 and 2-thirds. 4 times 10 and 2-thirds are 42 and 2-thirds. 3. If 2-fifths of an acre of land will produce 9 bushels of rye; how many bushels will 1-fifth of an acre produce? How many bushels will an acre produce?

4. 9 is 2-fifths of what number ?

Instruction.

Observe, that 1-half of 9 must be 1-fifth of the required number.

5. If a man drink 6 gallons of beer in 5-sixths of a inonth, how many gallons does he drink in 1-sixth of a month? How many gallons will he drink in a month? 6. 6 is 5-sixths of what number?

7. A man, who spends 42 cents a day, finds his expenses to be 5-sevenths of his wages. What is 1-seventh of his wages? What is the whole of his wages? 8. 42 is 5-sevenths of what number?

9. If 5-eighths of a dollar will pay for 24 pounds of flour, how many pounds will 1-eighth of a dollar pay for? How many pounds will a dollar pay for?

10. 24 is 5-eighths of what number?

11. Suppose 6 gallons of wine to leak from a cask in 8-ninths of an hour; how much will leak out in 1-ninth of an hour? How many gallons in 1 hour?

12. 6 is 8-ninths of what number?

13. If 4-tenths of a yard of cloth be worth 33 cents, how much is 1 yard worth?

Direction. First find what 1-tenth of a yard is worth.

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