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 Buffalo. 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.

165. 1. Change to improper fractions: 33; 54; 68; 54; 79.

2. Change to mixed numbers: 27; 33; 4; 52; 22; 42; 57.

3. Find the sum of 31, 43, 51, 61, 74, and 33.

4. Find the sum of 61, 41, 23, 35, 41, and 23.

5. A man had 3 lots containing respectively 31 acres, 24 acres, and 31 acres. How many acres did they all

contain?

6. The expense of a carpet was $123, and it cost $31 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 $3% 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 divided into lots containing of an acre. were there?

acres, which he How many lots

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

13. After purchasing a silver watch for $193, I had $213 left. How much had I at first?

14. A man owed for groceries $181; for meat, $103, 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 $35 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?

20. After spending of my money, I had $35 left. How much had I?

21. A horse traveled 381⁄2 miles in 7 hours. What was his average rate of speed per hour?

22. A man sold a cow for $40 and spent of the sum. Afterwards he bought a horse and paid in cash what he had left from the sale of the cow. What did the horse cost him, if the cash payment was of the cost of the horse?

23. A farm was sold in 2 parts. The first part contained 50 acres and that was of the second part. How many acres were there in the farm ?

24. I spent of my money for books, of it for furniture, and had $100 left. How much had I at first?

25. James had a sum of money such that of it was just of Henry's. What part of Henry's was the whole of James's?

26. One half of a mother's age was of her daughter's. What part of the mother's age was the daughter's?

27. What part of the daughter's age was the mother's? 28. ğ multiplied by another fraction gives a product of §. What is the multiplier?

29. The difference between and of a number is 8. What is the number?

WRITTEN EXERCISES.

166. Find the value of:

1. 31+34 +68-33-4-55
2. 51+6+37–63 −545 +2.25
3. 73+597 +81 — 14+5,1%.

32

4. (78+32) × 512 + (33 +19) × 31.
5. (33-14)÷ 13 + (21 — 14) × 61 — 5.
6. (42 +61 −33) ÷ 2% +(31 − 21) × 6.
7. (41 −31+71% +3 +4) ÷ ¿ +8.
8. (6+43) × (51 − 31) ÷ (21 — 13).

0

60

9. How much will 5 masons earn in 4 days, at $3 per

day?

10. After selling

of his load of potatoes to one person, to another, and 25 bushels to another, a farmer had sold his entire load. How many bushels did he sell?

11. One fifth of the expenses of an excursion were paid by Mr. A., of them by Mr. B., and the rest, which was $17, by the rest of the party. What were the expenses of the excursion?

12. A man forgot how many bushels of rye he had sold, but he remembered that he had received $185 for the rye at $1 per bushel. How many bushels did he sell?

13. A man loaned some money, receiving at the end of the year $245 interest for it. If the rate of interest was 1 of the sum loaned, how much did he loan?

He

14. A man finds that he must save $600 per year. takes boarders, and can accommodate 10. Suppose that he pays $2520 for provisions, servants, and rent, and his rooms are full all the year; how much must he charge per week to save $600 ?

15. A man of means spent of his life traveling in America, of it in Europe, and the rest of it at his own home. What part of his life did he spend at his own

home?

16. If he spent 30 years at his own home, how old was he?

17. If A can do a piece of work in 6 days, what part of it can he do in 1 day? If B can do the same piece of work in 7 days, what part of it can he do in 1 day? If both work together, what part of it can they do in 1 day?

42

18. If both, working together, could only do of it in 1 day, how many days would they need to complete it? Since both together can do 13 in 1 day, what part of 42 days will they need to complete it?

19. A man bequeathed of his property to his brother, of it to his sister, and the rest, which was $62500, to a college. How much did he bequeath in all?

20. A can do a piece of work in 3 days, and B can do it in 5 days. In what time can both together do it?

21. A can do a piece of work in 8 days, and B can do it in 10 days. In what time can both do it together?

22. It takes A and B 8 days to do a piece of work which B can do alone in 12 days. In what time can A do it?

23. Two men during a year earned together $1085; but one of them only earned as much as the other. How much did each earn?

24. Two brothers earn respectively $2 and $3 per day. In what time can both together earn $13?

25. A man who owned of a sash factory sold of his share for $24000. How much was the factory worth at that rate?

26. Divide of 5 of 14 of 41 by 3 of 3 of

of 18.

27. Divide of 'of of 63 by 2 of 2 of 4 of 23.

28. Find the sum and the difference of 44 and 3§; divide the sum by the difference; the difference by the sum; and then find the product of the quotients.

29. Multiply 35 by 23; divide 35 by 23; and find the difference between the two results.

30. A man spent of his money and $25 more, and then had $225 left. How much money had he?

31. A man after spending $2250 in repairing his house, found that it cost him, including repairs, just of the original cost. What was the original cost?

32. The estimated cost of a building was of its actual cost. If of the estimated expense was $5000, what was the actual cost of the building?

33. A school in one of our cities had the names of 1039 pupils on its rolls. If there had been one girl more, there