8.of of 15 is 3 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 ?

SOLUTION.

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

14. John Jones sold a horse for 60 dollars, 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 dollars, and sold of of it for 28 dollars; 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 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 dollars 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 dollar?

21. 36 is of how many times 8? 22. 52 is of how many times 13?

23. John Doe and Richard Roe enter into a speculation together, with a certain capital, of which was contributed by John, and the remainder by Richard; on dividing their gains, John received 60 dollars as his share; how much was Richard's share?

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

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

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

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

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

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

30. 40 is of how many times 16?

31. What number added to 3 times of 24 will make the number 56?

32. What number taken from 4 times of 28 will make the number 40?

33. What number added to 5 times of 63 will make 67?

LESSON XXXVI.

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

2. 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 g; therefore 48 is of the number.

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

it

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

of how many times of 32?

5. 60 is

6. 84 is

of how many times

of 22?

7. 18 is

of how many fifths of 35?

8. 20 is

of how many sevenths of 42?

9. If 33 pounds of butter last a family 1 week, how long will 25 pounds last the same family? 10. How many times is 13 contained in 113 ? 11. How many times 333 are 6 times 163? 12. How many times 3 times 23 are 10% ? 13. A watch-chain cost 48 dollars, and of the cost of the chain was of the cost of the watch; what was the cost of the watch?

14. 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?

15. 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 dollars remaining; what sum did his father leave him?

NOTE. 100 dollars were of the remainder, and the remainder was of the original sum.

16. 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?

17. If one man can cut 13 cords of wood in a day, how long will it take 3 men to cut the same?

18. If 3 horses consume of a bushel of oats in 2 days, how many horses will consume 3 bushels in the same time?

19. % of 36 is # of how many tenths of 20?

in 14, 7 times.

20.

21.

of 36 is 8, 8 is 4 of 14, 1 of 20 is 2, and 2 is contained Then of 36 is 4 of 7 of 20.

load of wood for $71,

of 44 is g of how many sevenths of 35? of 30 is 1⁄2 of how many ninths of 54? 22. # of 50 is § of how many sixths of 54? 23. A farmer, having sold a spent of the money for tea, at and the balance for coffee, at how many pounds of each did he obtain ? 24. 8 dozen of eggs, at pay for how many yards of yard?

of a dollar a pound, of a dollar a pound;

of a dollar a dozen, will cloth, at of a dollar a

25. What is a fraction? The denominator of a fraction? The numerator?

26. What is a proper fraction? An improper fraction?

27. What are the terms of a fraction? When is a fraction in its lowest terms? When have fractions a common denominator?

DENOMINATE NUMBERS.

LESSON XXXVII.

63. What is United States Money? United States Money is the legal currency of the United

NOTE.

DOLLAR

- Dollars and cents, when written together, are distinguished by a point (.), called the decimal point, between the dollars and cents.

Thus, $5.10 is read five dollars ten cents, and $10.03 is read ten dollars three cents.

64. 1. How many mills are there in 9 cents? 2. How many cents are there in 80 mills?

3. How many cents in 1 dime? In 3 dimes? In 7 dimes? In 11 dimes? In 14 dimes?

4. How many dimes in 10 cents?

In 20 cents?

In 90 cents? In 100 cents? In 110 cents? In 150 cents?

5. How many dimes in 43 cents?

6. How many dollars in 1 eagle? In 2 eagles? In 7 eagles? In 11 eagles?