LESSON XXXVIII.

1. A market-woman sold some butter, eggs, and milk; for the eggs and milk she received $4, which was of what she received for the butter; how much did she receive for the butter?

2. Sold of an acre of land for $24; at how much an acre was it sold ?

3. If James can run 60 rods in a minute, and John as far, how long will it take John to run 15} rods?

4. 28 is of a number; what is that number?

5. 36 is of a number; what is that number? 11

6. If of a firkin of butter cost $ 8, what will of a firkin cost?

7.

8.

of of 15 is of what number?

9. If a bushel of potatoes is of a barrel, and cost $13, how much will 1 barrel cost?

10. A and B own some wood together; A's share is; it is sold, and A receives as of his part of the proceeds $24; how much did the wood sell for? How much was B's part of the proceeds?

11. A teacher, being asked how many scholars he had, answered that 20 of them were girls, and of them and 4 more were boys; how many boys were there? How many scholars in all?

of itself, 20 If of the and, or the

ANALYSIS. As the number of scholars is scholars+4 scholars must be the remaining. number is 24, of the number is of 24, or 8, whole number of scholars, is 5 times 8, or 40. of boys must be the difference between 40 and 20, which

is 20.

The number

12.

13.

14 is 18 is

of of what number?
of % of what number?

14. John Jones sold a horse for, $60, which was 2 times of what he gave for it; how much did he gain by the sale?

15. Bought a piece of land for $64, and sold of of it for $28; how much will be gained if the rest be sold at the same rate?

16. of a pole is above ground, and 3 feet is is

of the part in the ground; what is the length of the pole?

17. George spent 6 elevenths of his money for a suit of clothes; he then paid $2 for a hat, which was just 1 fifth of all he had left; how many dollars had he at first?

18. 35 is of of what number?

19. A pole stands 3 fifths in the water, 1 half of the remainder in the mud, and 4 feet above the water; what is the length of the pole?

20. If of a dozen of eggs cost of a dollar, how many dozen can be bought for $1?

21. 36 is

22. 52 is

of how many times 8?
of how many times 13 ?

23. John Doe and Richard Roe enter into a speculation together, with a certain capital, of

of which was contributed by John, and the remainder by Richard; on dividing their gains, John received $60 as his share; how much was Richard's share?

24. Henry spent of his money for pencils, for a slate, and had 4 cents left; how much money had he, and how many pencils did he buy, at 2 cents apiece?

25. 30 is of how many times 9?

26.

27.

64 is of how many times 12?

If

9

of Robert's age has passed since he was

21 years old, how old is he?

28.

ofis how many times?

29. Susan is 25 years old, and Lydia is only 61 years; how many times is Susan as old as Lydia?

30. A man sold of a barrel of cider, and of what was left was worth $1; what was the whole barrel worth?

31. What cost of a hogshead of molasses, at of a dollar a gallon?

32. At of a dollar a quart, what part of a bushel of walnuts can be bought for $23?

33. Allowing 10 working hours to a day, in what part of a week, consisting of 6 working days, can a man earn $7, if his pay be at the rate of a dollar an hour?

16

of

34. If 14 pecks be added to of a bushel, what part of a bushel will there then be?

35. If from of a hundred-weight there be taken of a quarter, what part of a hundred-weight will then remain ?

36. A young man lost of his capital in trade, but afterwards gained $100, which made his capital $1000; how much money did he lose?

37. 60 is

38. 84 is

39. 18 is

40. 20 is

of 32?

of how many times
of how many times of 22?
of how many fifths of 35?

of how many sevenths of 42? 41. If 3 pounds of butter last a family 1 week, how long will 25 pounds last the same family? 42. How many times is 13 contained in 113 ? 43. How many times 33 are 6 times 163 ?

are 10g?

of the cost of

44. How many times 3 times 2 45. A watch-chain cost $48, and the chain was of the cost of the watch; what was the cost of the watch?

46. Joseph deposited of his money in the

savings-bank, paid for tuition, and then found of the remainder was just $7; how much money had he in all?

47. A gentleman paid away a sum of money: to James Brown, of of the remainder, which was $15, to Peter Smith, and the balance to Edward Robinson; what was the whole amount, and how much did Brown and Robinson each receive?

LESSON XXXIX.

1. If 7 is of some number, what is of the same number?

2. If 10 is of some number, what is of the same number?

3. If 12 is of some number, what is of the same number?

4. What number added to 2 times 3 of 37 will make the number 18?

5. What number added to 5 times of 30 will make the number 65?

6. What number taken from 4 times of 19 will leave 501?

7. What number taken from 3 times of 22 will leave 100?

8. What number is that to which if of itself be added, the number will be 48?

NOTE. The number is of itself, and added make therefore 48 is of the number.

9. What number is that to which if its half and fourth be added, the sum will be 100 ?

10. A lady, being asked how old she was, answered, that, if and of her age were added to her age, it would be 99 years; how old was she?

11. Paid of my money for pencils, for an account-book, and 16 cents for India-rubber, and had as much left as I had in the beginning; how much had I at first?

12. A father left his son a legacy, of which he spent in 6 months, and of the remainder lasted him 8 months longer; when he had only $100 remaining; what sum did his father leave him?

NOTE. $100 was of the remainder, and the remainder was of the original sum.

13. A and B made an even exchange of horses; by the trade A lost 24 dollars, which was of the value of the horse which he had at first; what was the value of each horse?

14. If one man can cut 1 cords of wood in a day, how long will it take 3 men to cut the same? 15. If 3 horses consume of a bushel of oats in 2 days, how many horses will consume 3 bushels in the same time?

16. of 36 is of how many tenths of 20?

NOTE. of 36 is 8, 8 is of 14, 1 of 20 is 2, and 2 is contained in 14, 7 times. Then 3 of 36 is 4 of 1 of 20.

17. of 44 is g of how many sevenths of 35? 18. of 30 is of how many ninths of 54? 19. of 50 is of how many sixths of 54?

20. Simon bought 2 dozen of eggs, at 6 cents a dozen, 2 pounds of beef, at 12 cents, and spent of what he had in the beginning for vegetables, and for a lobster, and had left; how much had he at first?

35

21. If a man, by selling a cart for 13 times its cost, gains $11, what was the cost of the cart?

22. Robert receives as much money on January 1st as he does on January 2d; he has in the hole of the amount required to pay his debts, and