LESSON XXXIV.

1. A field of 80 acres was divided into lots containing 8 acres each. How many lots were thus made?

2. If a train ran 9 miles an hour, in how many hours would it run 72 miles?

3. Fifty-four seats were arranged in 6 equal rows. How many seats were in each row?

4. Sixty-four dollars will pay for how many rods of fence at $8 per rod?

5. In 9 hours a bicyclist rode 81 miles? his rate of speed per hour?

What was

6. At the rate of 9 cents to each, how many beggars would receive 63 cents?

7. How many melons, at 12 cents apiece, may be bought for 96 cents?

8. For $88, and at the rate of $8 for each, a farmer sold how many sheep?

9. A dealer gave coal worth $6 a ton for wheat worth $72. Find the number of tons he gave.

10. If 12 pounds of sugar cost 132 cents, how many cents does one pound cost?

11. If a dozen oranges are worth 48 cents, what is the value of one orange?

12. In 63 days there are how many weeks?

13. There are 12 inches in one foot. How many feet in 144 inches.

14. What is the cost of one ton of coal, if 11 tons cost $121?

15. How long will it take a man to earn $132, at $11 a week?

16. A flight of stairs mounts 128 inches. Find the number of steps in the flight if each step is 8 inches high. 17. In 7 weeks there are 49 days. How many days are there in one week?

18. How much do 5 doors cost if I pay $56 for 8 of them?

19. When coal is worth $6.60 a ton, how many tons can be bought for $660.

20. When flour is $6 a barrel, how many barrels of flour will $1200 buy?

LESSON XXXV.

1. If 5 books cost $1.50, what do they cost apiece?

=

Solution.-1. The process is $1.505 $.30. 2. Since 5 books cost $1.50, one book costs one-fifth of $1.50, or $.30.

2. When 40 pounds of butter cost $8, what does 1 pound cost?

Solution.-1. The equations are $8800 cents; 800 = 20.

40

2. Since 40 pounds cost 800 cents, 1 pound costs onefortieth of 800 cents, or 20 cents.

3. Sixty oranges cost $2.40. Find the cost of each. 4. I paid $5 for 20 dozen eggs.

What did they cost

5. How long will it take a man to earn $120 at $20 a week?

6. If 30 horses cost $6000, what is the average cost per head?

7. If a box will hold 200 oranges, how many boxes will hold 8000 oranges?

8. There are 60 minutes in 1 hour. How many hours in 3600 minutes?

9. At 9 cents a pound, how many pounds of rice can be bought for $18?

10. At 40 cents a pound, how many pounds of coffee can be bought for $9.60?

11. If 6 writing desks cost $54, what cost 9 writing desks at the same rate?

LESSON XXXVI.

1. When oranges cost 4 cents each, a boy gave 80 cents for 8 oranges and 12 apples. How much did he pay apiece for the apples?

Solution.-1. The process is (80 8 × 4) ÷ 12 = 4. 2. At 4 cents each, 8 oranges cost 32 cents.

3. 80 cents 32 cents =

48 cents remaining.

4. Since 12 apples cost 48 cents, 1 apple costs of 48 cents, or 4 cents.

2. A woman exchanged berries for sugar, giving 10 quarts of berries, at 8 cents a quart, and 25 cents in money for 21 pounds of sugar. What did the sugar cost per pound?

3. If a man receives 50 pounds of sugar in exchange for 25 pounds of cheese at 10 cents a pound, what is the price of the sugar per pound?

4. If 6 arithmetics, at 40 cents each, and 5 histories. together cost $5, how much do the histories cost apiece?

5. Mr. A., having earned $70, paid a debt of $25. How many yards of cloth at $3 a yard can he buy with the remainder of his money?

6. A tank holding 600 gallons of water is full. While one pipe brings into it 300 gallons per hour, another discharges 400 gallons. At the end of 4 hours how many gallons will remain in the tank?

7. If 14 sheep cost $98, for how much must 5 of them be sold to gain $5 on the sale?

8. When 4 bushels of wheat make 1 barrel of flour, which sells for $8, what is a bushel of wheat worth?

LESSON XXXVII.

1. If 12 men can do a piece of work in 6 days, how long will it take 9 men to do it?

Solution.-1. The process is (12 × 6) ÷ 9

2. Since 12 men do the work in 6 days, it will take 1 man 12 times 6 days, or 72 days.

3. Hence, 9 men can do the work in of 72 days, or 8 days.

2. A piece of work can be done by 21 men in 5 days; how long will it take 15 men to do the same work?

3. A quantity of bread will keep a family of 10 persons three weeks. How many days will it last when 4 persons are absent?

4. If 15 men can build a wall in 6 days, how many men will be required to build the wall in 9 days? How many days must 18 men work to build the wall?

5. A certain quantity of corn lasts 11 horses 21 days. How many horses will it supply for 7 days?

6. If 24 men can build a house in 16 days, how long will it take 12 men?

7. If 9 boys can do a piece of work in 12 days, how many boys will do the work in 18 days?

8. A wall can be built by 21 men in 15 days, how long will it take 45 men to build the wall?

9. If 6 men can build a house in 12 days of 10 hours each, how many men must be added if the work is to be done in 8 days of 9 hours each?

10. If 30 sheep consume the pasture of a 10-acre field in 12 weeks, how many sheep will 10 acres feed for 15 weeks?

LESSON XXXVIII.

1. What is the cost of 14 hats and 13 caps, if hats are worth $4 apiece and caps one-half as much?

2. Suppose a trader, who has 12 barrels of flour on hand, should lay out $35 in buying more flour at $5 a barrel. How many barrels would he then have?

3. How many pounds of sugar, at 20 cents a pound, must be given for 5 pieces of cotton-cloth, containing 40 yards each, at 40 cents a yard?

4. Four school-rooms contain, on an average, 75 pupils per room. If 128 pupils are boys, how many are girls, and what is the average number of girls in each room? 5. A boy earns half as much as a man. A man earns $2 a day. What will 9 men and 6 boys earn in 11 days?