42. Seventy-seven is how many times 7? 9? 10? 11?

LESSON XVIII.

30. 1. What is one half of 6 apples?

SOLUTION. One half of 6 apples is one of the two equal numbers into which 6 apples can be separated, or 3 apples.

2. What is one third of 9 oranges?
3. What is one fourth of 8 cents?
4. What is one fifth of 15 dollars?

Of 12 cents?

Of 25 hats?

5. Harry had 6 chestnuts, which he gave in equal numbers to his 2 brothers; how many did each receive?

6. When 4 cords of wood cost 20 dollars, how much does one cord cost?

7. Thomas distributed 10 flowers equally among 5 of his playmates; how many did each receive? 8. If 12 dollars be distributed equally among 6 men, how many will each receive?

9. James has 12 peaches, which he wishes to give to 4 of his companions; how many can he give to each, if he divides them equally?

10. If a man pays 35 cents for 5 pounds of nails, how much are the nails a pound?

11. Mary divided 42 apples equally among 7 companions; how many did she give to each?

12. In an orchard there are 56 trees, standing in 8 equal rows; how many trees are there in each row?

13. When 5 yards of cloth are bought for 20 dol

14. If 5 dollars will buy 40 yards of cotton cloth, how many yards will one dollar buy?

15. When 27 cherries cost 9 cents, how many cherries can be bought for one cent?

16. If 3 oranges are worth as much as 12 apples, how many apples is one orange worth?

17. If 9 yards of cloth cost 108 cents, how much will one yard cost?

18. When 50 dollars are paid for 10 cords of wood, how much is it a cord?

19. What is one seventh of 49 apples?

20. What is one sixth of 66 oranges?

21. 80 apples are 8 times what number of apples? 22. 99 are 9 times what number?

23. One man can do a certain piece of work in 25 days; how long will it take 5 men to do it?

24. How many men will reap a field in 6 days, if 54 men can reap it in one day?

25. If one pipe can fill a cistern in 84 hours, in how long a time will 7 such pipes fill it?

26. How many tons of hay can be bought for 60 dollars, at 10 dollars a ton? At 12 dollars a ton? At 15 dollars a ton?

27. If two boats are 50 miles apart, and the one gains on the other 5 miles an hour, in how many hours will they be together?

28. A school, consisting of 120 pupils, is separated into 10 equal classes; how many pupils are there in each class?

29. 3 heifers were bought for 48 dollars; how

30. If a man earns 8 dollars a week, how long will it take him to earn 48 dollars? 64 dollars?

31. How many cloaks, containing 9 yards, can be made from 63 yards of cloth? From 72 yards?

32. If 51 dollars be divided among 3 men, how many dollars will each receive?

33. For 72 cents, how many pounds of beef can be bought, at 8 cents a pound? At 12 cents?

34. If you should have 31 cents, how many writingbooks could you buy, at 8 cents each, and how many cents would you have left?

35. If you had 57 dollars, how many sheep could you buy, at 5 dollars each, and how many dollars would you have left?

36. If 132 dollars will buy 12 coats, how much will one coat cost?

37. If you had 83 dollars, how many tons of coal at 9 dollars a ton could you buy, and how many dollars would you have left?

DEFINITIONS.

31. What is division? Division is the process of finding how many times one of two numbers is contained in the other; or, of finding one of the equal parts of a number.

32. What is the quotient? The Quotient is the result obtained by dividing one number by another.

33. What is the sign of division? The Sign of division is a short horizontal line with a dot above and below,, and is read divided by.

Thus, 62 is read, six divided by two.

LESSON XIX.

34. 1. How many 2's in 4? 6? In 12? In 16? In 18? 2. How many 3's in 3? In 21? In 15? In 27? In 33? In 24?

3. What is

16? Of 28?

44? Of 48 ?

In 10?

In 8?

In 20?

In 24 ?

In 9?
In 9?

Of

In 18? In 36?

one of the four equal parts of 4?

Of 20? Of 8? Of 32? Of 12? Of

4. Divide by 5, from 5 in 5 to 5 in 60.

SOLUTION.

so on.

- 5 in 5 once; 5 in 10 twice; 5 in 15 three times; and

5. Divide by 6, from 6 in 6 to 6 in 72. By 7, from 7 in 7 to 7 in 84.

6. Divide by 8, from 8 in 8 to 8 in 96. By 9, from 9 in 9 to 9 in 108.

7. Divide by 10, from 10 in 10 to 10 in 120. By 11, from 11 in 11 to 11 in 132.

8. Divide by 12, from 12 in 12 to 12 in 144. 9. How much is a seventh part of 49? part of 90?

A tenth

A ninth of 63 ?

10. How many is a fourth of 44 ? 11. 96 ÷ 12 = how many ? 72 ÷ 9? 88 ÷ 11? 12. 639 what number? 45 ÷ 5? 108

12?

13. 54 ÷ 6 = what number? 56 7? 110 10?

14. Eighty is how many times 4? 5? 8? 10? 20? 40?

15. Eighty-four is how many times 4? 16. Eighty-five is how many times 5?

7? 12?

7?

8? 12?

8? 10?

3?

17. Eighty-eight is how many times 4? 18. Ninety is how many times 2? 5? 9? 19. Ninety-two is how many times 9? 10? 15? 20. Ninety-five is how many times 5? 10? 11? 21. Ninety-six is how many times 6? 8? 12? 22. Ninety-nine is how many times 3? 9? 10? 11?

23. How many cords of wood can be bought for 100 dollars, at 4 dollars a cord?

24. When a man, having 75 dollars, can buy 9 pigs, and have 3 dollars left, what is the cost of each pig?

25. What is sugar a pound, if 9 pounds can be bought for 54 cents? For 63 cents? For 90 cents?

LESSON XX.

35. 1. When an apple is cut, or divided, into two

each of the parts? What part of any thing is one of the equal parts?

2. When an apple is cut, or divided, into three equal parts, what part of

the apple is each of the parts? What part of anything is one of the equal parts?

3. When 2 apples are separated into two equal parts, what part of the whole is one of the equal