37. 1. If 4 barrels of apples cost 8 dollars, what will 5 barrels cost?

SOLUTION. If 4 barrels cost 8 dollars, 1 barrel will cost one fourth of 8 dollars, or 2 dollars, and 5 barrels will cost 5 times 2 dollars, or 10 dollars.

2. If 3 pounds of butter cost 36 cents, what cost 5 pounds?

3. When 10 cents are paid for 5 rolls of candy, how much must be paid for 6 rolls ?

4. When 5 dollars will buy 15 yards of cloth, how many yards will 9 dollars buy?

5. If 4 tons of hay cost 40 dollars, what cost 3 tons?

6. When 7 quarts of fruit bring 35 cents, how much do 5 quarts bring?

7. If 24 brooms cost 6 dollars, how many brooms can be bought for 8 dollars?

8. If 8 bushels of wheat cost 16 dollars, how much will 7 bushels cost?

9. What will 9 quarts of milk cost, if 10 quarts cost 50 cents?

10. If a horse trot 36 miles in 6 hours, how many niles will he trot in 11 hours?

11. What will 12 yards of broadcloth cost, if 15 ards cost 75 dollars?

12. If a man can earn 90 dollars in 9 weeks, how any dollars can he earn in 6 weeks?

13. If 3 pounds of cheese cost 30 cents, what will

14. What cost 3 yards of cambric, if 6 yards cost 50 cents?

15. What cost 7 weeks' board, if 9 weeks' board cost 27 dollars?

16. What cost 4 tons of coal, at the rate of 10 tons for 70 dollars?

17. When 56 cents are paid for 4 dozen of eggs, now much must be paid for 10 dozen?

18. If 28 cents will buy 4 quarts of berries, how many quarts will 37 cents buy?

19. When 64 dollars are paid for 8 barrels of flour, how many barrels can be bought for 72 dollars?

20. How many pounds of veal can be bought for 96 cents, when 9 pounds cost 72 cents?

21. When 4 quarts of vinegar can be bought for 36 cents, how many quarts can be bought for 108 cents?

22. When 7 yards of cotton cloth can be bought for 84 cents, how many yards can be bought for 120 cents?

23. If 4 dollars will buy 32 yards of cotton cloth, how many dollars will buy 40 yards?

24. If 4 cents buy 8 apples, how much will 20 apples cost?

25. If 6 copies of a book cost 18 dollars, how much will 12 copies cost?

26. If 12 barrels of flour cost 84 dollars, what will 7 barrels cost? 11 barrels ? 6 barrels? 10 barrels ? 9 barrels ?

27. When 7 cords of wood can be bought for 56 dollars, how many cords of wood can be bought for 72 dollars?

28. If 9 men can dig a ditch in 7 days, how long will it take 12 men to dig it?

29. A man bought 12 bushels of wheat, at 2 dollars a bushel, and 4 yards of cloth, at 3 dollars a yard, and paid for them in work, at 9 dollars a week; how many weeks did he work?

30. A can travel at the rate of 5 miles an hour, and B 7 miles; they set out from the same point, and in the same direction, but B starts after A has traveled 30 miles; how long will it take B to overtake A?

31. Divide each of the following numbers by 7: 21, 37, 24, 66, 32, 140, 80, 57, 19, 72, and 86.

32. What cost one barrel of flour if 9 barrels cost each of the following sums: 27 dollars, 36 dollars, 63 dollars, 108 dollars, 126 dollars, 99 dollars?

33. If 20 yards of cloth cost 60 dollars, what cost each of the following quantities: 11 yards, 21 yards, 14 yards, 10 yards, 7 yards, 17 yards, 24 yards?

34. If 25 oranges cost 100 cents, what cost each of the following numbers: 40 oranges, 60 oranges, 64 oranges, 84 oranges, 88 oranges?

35. If 10 men can do a piece of work in 6 days, in what time will 15 men do it?

36. A and B start together and travel in the same direction, A traveling 21 miles a day and B 27 miles; when they shall be 72 miles apart, how many days will they have traveled?

37. What is multiplication? What is the product? 38. What is division? What is the quotient?

38. 1. Into how many halves can an apple be divided?

2. What is meant by half of an apple?

3. In how many halves of an apple can 2 apples be divided?

4. How many halves of 1 are there in 2? In 3? In 4?

5. How many whole ones in 2 halves? In 4 halves? In 6 halves? In 8 halves?

6. How many halves of one orange are there in one orange and a half? In two and a half? In three and a half?

7. Into how many thirds can an orange be divided? 8. What is meant by a third of anything? By two thirds of anything?

9. How many thirds of 1 are there in 2? In 3? In 6? In 9? In 10?

10. How many thirds of 1 are there in 2 and 1 third? In 4 and 2 thirds? In 11 and 1 third?

11. Into how many fourths can a cake be divided? 12. What is meant by one fourth of a cake? two fourths? By three fourths?

By

13. How many fourths of 1 are there in 2? In 5? In 7?

14. How many fourths are there in 1 and 1 fourth? In 2 and 3 fourths?

15. What is meant by a fifth of anything? By a sixth of anything? By a seventh of anything? 16. How many ones in 2 halves? In 3 halves? In 16 halves?

17. How many ones in 3 thirds? In 4 thirds? In 12 thirds?

18. How many ones in 4 fourths? In 16 fourths? In 20 fourths? In 25 fourths?

19. How many ones in 5 fifths? In 11 fifths? In 27 fifths?

20. How many ones in 6 sixths? In 13 sixths? In 43 sixths?

DEFINITIONS.

39. What is a fraction? A Fraction is a part of a unit, consisting of one or more of the equal parts, which compose the unit.

40. What is the denominator of a fraction? The