5. What is I half of 8 dimes? Of 10 dimes? dimes? 20 dimes ?

6. What is I third of 6 apples ?

7. What is I third of 9 marbles?

14

8. If a melon costs 12 cents, what will I third of a melon cost?

9. What is I third of 15? Of 21? Of 18? Of 27? 10. What is I fourth of 8 dollars?

Ans. 2 dollars.

11. Why?

Ans. Because, if 8 dollars are divided into 4 equal parts, the parts will be fourths, and each part will contain 2 dollars.

12. What is I fourth of 4 pounds? Of 12 pounds? Of 20? Of 28?

13. What is I

Of 25? Of 30?

Of 36?

fifth of 5 yards? Of 15? Of 20? Of 40?

14. If a barrel of flour costs 12 dollars, what will sixth of a barrel cost?

15. If a ton of hay is worth 15 dollars, what is I fifth of a ton worth?

16. If land is worth 21 dollars an acre, what will I

seventh of an acre cost? If 28 dollars, what?

17. When corn is 40 cents a bushel, what will be the cost of eighth of a bushel?

18. At 60 dollars a ton, what is the expense of I twelfth of a ton?

19. What is I ninth of 18?

Of 54? Of 63?

20. What is I tenth of 20? Of 100? Of 60 ?

Of 36? Of 27?

Of 30?

Of 80 ?

LESSON VI.

1. What will 2 thirds of a ton of coal cost, at 6 dollars a ton?

ANALYSIS.-Since 3 thirds, or a whole ton, costs 6 dollars, - I third of a ton will cost I third of 6, which is 2 dollars. Again, since I third of a ton costs 2 dollars, 2 thirds will cost 2 times 2, or 4 dollars. Therefore, 2 thirds of a ton will cost 4 dollars.

2. If a tub of butter costs 12 dollars, what will 2 thirds of a tub cost?

3. If the price of a watermelon is 16 cents, what is the price of 3 fourths of it?

4. What is 2 fourths of 12? 3 fourths of 12? 4 fourths of 12?

5. What cost 3 fifths of a drum of figs, at 15 shillings per drum?

6. What must I pay for 5 sevenths of a ton of hay, when hay is worth 21 dollars a ton ?

7. What will 3 fourths of a yard of silk come to, at

10. What is 3 sevenths of 35? 5 sevenths of the same ? 4 sevenths? 6 sevenths?

II. What will 5 eighths of an acre of land cost me, at 24 dollars per acre? What will 3 eighths cost? 7 eighths?

12. What is 2 ninths of 18? Of 27? Of 36?

13. What is 4 ninths of 45? 5 ninths of the same? 7 ninths? 8 ninths? 9 ninths?

14. If George can earn 35 cents in 1 day, how much can he earn in 3 sevenths of a day?

15. What will 5 tenths of a ton of iron cost, at 40 dollars a ton? What will 7 tenths of a ton cost? 16. What is 7 tenths of 20? Of 30? Of 40? Of 50?

1. What part of 2 marbles is I marble?

ANALYSIS.-If 2 marbles are divided into 2 equal parts, each

part will contain I marble.

marbles.

Therefore, I marble is 1 half of 2

2. What part of 3 is 1?

Ans. I is a third part of 3, or 1 third of 3.

3. What part of 3 is 2?

Ans. 2 is 2 times I third part of 3, or 2 thirds

of 3.

4. In 1 yard there åre 3 feet: what part of a yard is I foot? What part is 2 feet?

5. 1 is what part of 4 ?

Ans. I is I fourth part of 4.

6. 3 is what part of 4?

Ans. 3 is 3 times 1 fourth part of 4, or 3 fou (hs

of 4.

7. What part of 5 is 2? What part is 3? Is 4? Is 5? Is 7?

8. What part of 6 is 4? Of 7 is 3? Of 9 is 5? Of 10 is 7? Of 12 is II?

ANALYSIS.- -1 cent is I third part of 3 cents. Therefore, 4 cents are 4 times I third, or 4 thirds of 3 cents.

10. What part of 4 farthings is 2 farthings? Is 3 farthings? Is 4 farthings? Is 7 farthings? Is 9 farthings?

II. What part of 5 chestnuts is 2 chestnuts? What part of 5 is 3? Is 4? Is 6? Is 10? Is 12? Is 15?

12. In 1 dime there are 10 cents: what part of a dime will a pear cost, the price of which is 3 cents? 13. At 5 cents, what part of a dime is the cost of an orange?

14. What part of 12 inches is 1 inch? Is 3 in.? Is 7 in.? Is 12 in.? Is 15 in.? Is 30 in.?

15. What part of 16 ounces is 4 oz.? Is 12 oz.? Is 20 oz. ?

16. What part of 20 shillings is 2 s.? Is 4 s.? Is 5 s.? Is Io s.?

1. Henry, on his way to school, lost 2 apples, which was a third of all he had: how many apples had he?

ANALYSIS.- Since 2 is I third of his apples, 3 thirds, or the whole number, must be 3 times 2 apples; and 3 times 2 are 6 apples. Therefore, he had 6 apples.

2. 3 is a half of what number?

Ans. 3 is a half of 2 times 3; and 2 times 3 are 6.

3. 4 is a third part of what number?

4. Henrietta paid 2 cents for a thimble, which was a fourth of all the money she had: how many cents had she?

5. 3 is a fourth of what number? 6. 5 is a sixth of what number?

7. 4 is 2 thirds of what number?

ANALYSIS.-Since 4 is 2 thirds of a certain number, I third of that number is I half of 4, which is 2; and 3 thirds are 3 times 2, or 6. Therefore, 4 is 2 thirds of 6.

8. 6 is 2 thirds of what number?

9. On his way to school, Henry gave a beggar 8 cents, which was half his money: how many cents had he?

IO. 9 is 3 fourths of what number?

11. William paid 10 cents for a melon, which was 2 fifths of all the money he had: how much had he?

12. A laboring man paid 20 cents for a peck of meal, which was 5 tenths of all he had earned that day: how much had he earned?

13. 12 is 6 sevenths of what number?

14. 16 is 2 eighths of what number?

15. The price of a slate is 15 cents, which is 3 fourths of the price of a spelling-book: what is the cost of a spelling-book?

16. 21 is 3 sevenths of what number?

17. 25 is 5 sevenths of what number?

18. George paid 18 cents for a writing-book, which was 2 thirds the price of his arithmetic: what was the price of his arithmetic?