5. If of a pound of confections costs 20 cents, what will 2 pounds cost?

6. If of a day's labor is worth 30 cents, what will 5 days' labor cost?

7. Name the number of units in each of these: §, 12, 15, 21, 18, 27, 33, 48, 57, 63, 24, 36, 45, 42, 54, 51, 22, 36, 48, 132.

8. How many thirds in 23? In 13? In 33?

9. Find the number of thirds in the following: 13, 21, 33, 51, 7, 81, 107, 151, 41, 51, 71, 63, 103, 0, 111, 303. 10. To how many units is each of these equal: §, }, 11, 13, 16, 17, V, V, 3, 4, 40, 28, 44, 52, 64, 68, 76, 80, 92, 100.

3

3

20

20

11. If of a ton of coal is worth $4, how much is a ton worth?

12. If an acre of land cost $75, what is the cost of of an acre?

13. If a man pays $66 for a watch and as much for a clock, how much does he pay for the clock?

14. If there are 8 inches in of a foot, how many inches are there in a whole foot?

15. If a bicycler rides 14 miles in 23 hours, how far does he ride in one hour?

Solution.-2 hours= 7 hours; in hours he rides 14 miles; in of an hour he rides of 14 miles or 2 miles; ing of an hour, 3 times 2 miles, or 6 miles. Therefore, in 1 hour he rides 6 miles.

16. If 23 yards of cloth cost $8, how much does 1 yard cost?

17. If 6 pounds of sugar cost 57 cents, how much does 1 pound cost?

18. If a man can earn 40 cents in 24 hours, how much can he earn in 10 hours?

19. A man earns $100 in 3 months; how much can he earn in 12 months?

20. A boy can walk 16 miles in 5 hours; how far can he walk in 12 hours?

LESSON III.

Fourths.

1. How many fourths are in each of the following numbers: 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22?

2. How many single things are represented by 4, 12, 24, 20, 16, 36, 32, 44, 56?

3. State the number of fourths in each of these: 11, 42, 53, 64, 23, 71, 82, 113.

4. Change the following to fourths: 34, 24, 12, 54, 121, 61, 92, 113.

5. How many units in these: 13, 29, 17, 15, 23, 19, 27, 39, 31, 33, 49, 57, 69, 71, 82, 90.

6. If of a pound of butter is worth 7 cents, how much is a pound worth?

7. If of a yard equal 27 inches, how many inches are there in a whole yard?

8. If a carriage cost $300 and a horse as much, what is the cost of the horse?

9. I bought 2 pounds of beef for 45 cents. What rate did I pay per pound?

Solution.-22. Since of a pound cost 45 cents, of a pound cost of 45 cents, or 5 cents; since of a pound cost 5 cents, 4 of a pound cost 4 times 5 cents, or 20 cents. Therefore, 1 pound cost 20 cents.

10. A man paid $22 for 2 cords of wood. How much did he pay per cord?

11. Six and tons of coal cost me $25. How much did I pay for 1 12. What is

13. What is

ton?

of these: 4, 8, 16, 20, 28, 30, 36, 40, 48? of these: 12, 28, 32, 44, 52, 4, 24, 64, 100? 14. What is of these: 11, 15, 17, 19, 21, 25, 27, 29, 39? 15. How do you find of 9?

=

Solution.-3=1 of 3; 1 of 3 times 9 of 27 63. Therefore, of 963.

9.

Or, 4 of 9=2; 3 of 9-3 times 22763.

16. In like manner find of the following numbers: 13, 11, 15, 17, 7, 5, 19, 21, 23, 25.

17. A lady, in shopping, spent of $20. How much did she spend?

18. If 13 bushels of wheat weigh 105 pounds, how much does of a bushel weigh? How much 1 bushel? 19. What must be paid for a bushel of oats if 33 of a bushel cost 75 cents?

20. A farmer, having 21 gallons of cider, sold of it. How many gallons did he sell?

21. A lady bought a bicycle for $60 and sold it for of what it cost. What did she get for it?

22. At the rate of 51 pounds of mutton for $1.05, what does 1 pound cost?

LESSON IV.

Fifths.

1. Tell promptly the number of fifths in each of the following numbers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 18, 16, 14, 12, 10, 8, 6, 4, 2.

2. How many units do you perceive in? 20? 35? 55? 45? 15? 30? 25? 65? 15?

3? 54? 7? 93?

3. How many fifths are in 14? 38?
fifths are in 14?
13? 15? 24? 4?

114?

8? 123?

8? 64? 4? 10%?

4. What unit and fraction of a unit in each of these: 2, 13, 19, 16, 18, 21, 32, 36?

5. A boy lost 9 marbles, which was of all he previously had. How many had he?

6. When of a ton of coal costs $1.20, what is the cost of a ton?

7. If of the cost of a dictionary is $6, what is its cost?

8. Find and of each of these: 10, 15, 20, 25, 100, 80.

9. How do you find / of 21?

10. Find, , and of: 11, 23, 19, 7, 14, 18, 30, 20, 4, 8, 6, 9, 13, 31, 48, 57.

11. A lady has lived 55 years; another has lived only as long. What is the age of the latter?

12. A farmer sold of 100 bushels of corn to one man, and of it to another. How many bushels did he sell to each man? How many bushels to both men?

13. How long do I work, if I work of 12 hours?

14. What is the cost of of a piece of cloth, if the whole piece is worth $40.

15. A dozen eggs were sold for 24 cents, which was g of their cost. What was the cost?

16. Five equal lots of ground contain 1 acre. Three of the lots were sold for $240. The rate being the same, what would the remaining lots sell for, and the whole acre?

17. If of a week's work is worth $20, what is the work of a whole week worth?

18. Of the words assigned him, a boy spelled correctly 60, which was of the whole number. Find the whole number.

19. Mr. Kingston is 45 years old, and his wife 4 as old. How old is his wife?

20. A horse cost $125, and of the cost of the horse is 5 times the cost of the harness. What did the harness

cost?

21. A horse cost $150 and a wagon as much. How much did the wagon cost?

22. If 45 is of a number, what is the number?

23. From New York to Philadelphia is 90 miles. When you have travelled of the distance, how many miles have you gone?

24. One mile equals 320 rods; how many rods are there in g of a mile?

25. If the diameter of the earth is 8000 miles, how far from the centre is a point of 8000 miles from the surface?