17. In a farm of 120 acres there were 351 acres of pasture land. What part of the farm was used for pasture?

18. What part of 2724 square feet are 9 square feet? 19. If a boy can do a piece of work in 25 days, what part of the work can he do in 7 days? 20. Miss Reed paid $20

for a gown, and $61⁄2 for a hat. What part of the price of the dress did the hat cost?

21. If the working day is 10 hours long, how much will a man who earns $3 a day get for 6 hours' work?

ALIQUOT PARTS.

193. An aliquot part of a number is any integer or mixed number that will exactly divide it.

194. 1. What will 12 pounds of butter cost at 331 per pound?

SOLUTION. -3314$. Since 1 pound costs $, 12 pounds will cost 12 times $, which is $12, or $4.

2. What will 20 readers cost at 25¢ apiece? At 50¢? 3. What will 25 sponges cost at 20¢ apiece?

4. What will 36 yards of ribbon cost at 163 a yard? 5. What will 48 yards of lace cost at 121 a yard?

What is the cost of:

6. 120 pounds of sugar at 5? At 81? At 10%?
7. 12 neckties at 75¢?
8. 40 baskets at 371?

At 663?

At 831¢?

At 40%?

At 30% ?

9. 80 gallons of molasses at 371? At 621? At 871¢? 10. 28 dozen pencils at 121? At 163? At 20¢? 11. 16 pairs of gloves at 663? At 831? At 75¢? 12. 24 days' work at $1.25? At $1.33? At $1.163? 13. At 163 per pound, how many pounds of raisins can be bought with $2?

SOLUTION. 1639 = $. Since 1 pound costs $, as many pounds can be bought with $2 as $is contained times in $2, or $12, which is 12 times. Therefore, 12 pounds of raisins can be bought with $2.

14. At 331 a dozen, how many dozen eggs can I buy with $5? $3? $7? $4?

15. At 37

apiece, how many books can be bought for $21? $3? $41? $51?

16. For $2, how many yards of muslin can be bought at 10 a yard? At 121? At 163?

195. To find the whole when a part and the relation of the part to the whole are given.

1. If $5 is of my money, how much money have I? 10 cents is of my brother's money. How much has he? 2. A man sold 5 gallons of vinegar, which was of all he had. How many gallons had he?

3. A farmer sold 10 quarts of milk per day, which was of what the cows produced. How much did they produce per day? \

4. A boy paid $6 for a coat, and that sum was of his wages for a month. What were his monthly wages?

5. A lad purchased a box of cartridges, fired off 10 of shem, and had of them left. How many cartridges were there in the box?

8. A boy borrowed 50 feet of kite string, which was of what another boy had. How many feet of string did the other boy have?

How

1. A farmer estimated that a hail storm had caused him a loss of 5 bushels of oats per acre, or of his crop. much did he think his land would yield him per acre?

8. A boy and his sister played backgammon for some time, his sister beating him 15 games, which was number of games played. How many did they play? 9. If 2 thirds of a number is 6, how much is 10. If 3 fourths of a number is 9, how much is 11. If 5 sevenths of a number is 10, how much is Since of the number is 2, what is the number? 12. If of a number is 8, how much is of the number? Since of the number is 4, what is the number?

of the

of it?

of it?

of it?

= 320.

} = 64.

Number = 512.

WRITTEN EXERCISES.

196. 1. 320 is of what number?

EXPLANATION. Since 320 is of a certain

number,

of 320, or 64, is of the number; and

since 64 is of the number, the number must be 8 times 64, or 512. Hence 320 is § of 512.

20. A boy sold his bicycle at second hand for of the cost, receiving for it $80. How much did it cost him?

21. Our tennis court is just of what it was originally, and it is now 120 feet. How long was it originally?

22. The distance between Rochester and Syracuse, N.Y., is 81 miles, and it lacks 4 miles of being of the distance from New York to Buf.lo. What is the distance from New York to Buffalo?

23. The width of a river near its source was 45 feet, and that distance was of what it was 20 miles farther down. How wide was it at the latter point?

24. A gardener set out some cabbage plants, but only 80 of them lived, which was just of the number set out. How many did he set out?

25. A way train stopping at all stations averaged 25 miles per hour; but the rate of the train was only of that of a fast express train. How many miles per hour did the express train run?

REVIEW EXERCISES.

ORAL EXERCISES.

197. 1. Change to improper fractions: 3; 54; 6; 54; 79.

39

2. Change to mixed numbers: 27; 88; 4; 52; 32: 42; 57.

3. Find the sum of 31, 4, 51, 61, 74, and 34.

4. Find the sum of 61, 41, 24, 35, 41, and 2§.

5. A man had 3 lots containing respectively 31 acres, 2 acres, and 31 acres. How many acres did they all

contain?

6. The expense of a carpet was $123, and it cost $34 to put it down. What was the entire cost of the carpet laid in the room?

7. Terrence's uncle gave him $10 on Christmas, but he spent $33 of it. How much had he left?

8. A father allowed his son $40 per year for spending money. At the end of the year the boy had $18. How much did he spend?

9. The expense of a Columbia bicycle was $140; but a boy bought one that pleased him just as well for of that price. How much did it cost him?

10. The price of California peaches was $3 per dozen in July. How much did 8 dozen cost?

11. A man had a field containing 4 acres, which he divided into lots containing of an acre. How many lots were there?

12. A wagon which cost $50 was sold for $463. How much was the loss?

13. After purchasing a silver watch for $194, I had $213 left. How much had I at first?

14. A man owed for groceries $181; for meat, $10, and for clothes $81. If he paid the debts out of $50, which he has, how much did he have left?

15. A boy went on a visit to his cousins with $35 to pay his expenses. On returning he found that he had spent of his money. How much had he left ?

16. The proprietor of a boarding house, after buying provisions for the day, found that he had $351 left, which was just of the money he had before making the purchases. How much did he spend?

17. An American flag was purchased by some school children for $113, and the flag-staff cost $61. What did both cost?

18. A man sold a horse for $160 and a cow for & as much. How much did he get for both?

19. A cow was sold for $60, which was of what a horse was sold for. How much was received for both?