24. If a horse consumes 3 bushels of oats in 2 days, how much will 2 horses consume in 5 days?

25. If a staff 5 feet long casts a shadow 4 feet long at 4 P.M., what is the length of a pole that casts a shadow 67 feet long at the same time?

LESSON XXXIII.

1. A. can do a piece of work in 6 days and B. can do it in 5 days. In what time can they both do it?

5+6
30

Solution.-1. Equations: += 5 + 6 = }}; } in 1 day = 38 in 2

days.

=

2. Since A. can do the work in 6 days, in 1 day he can do of it. Since B. can do the work in 5 days, in 1 day he can do of it. Both can do in 1 day + ᄒᄒ. Since in 1 day both can do 1, they can do 38 in as many days as 11 is contained times in 30, or 2.

2. C. and D. can do a piece of work in 5 days, and C. can do it alone in 7 days. How long will it take D. to do the work?

3. E. can cut a cord of wood in of a day and F. can cut a cord of wood in g of a day. In what time can they both cut a cord?

miles in 3 hours, how hours?

4. If a bicycler can ride 32 far, at that rate, can he ride in 9 5. In a certain church choir are ladies. How many gentlemen are in the choir, if there are in all 32 members?

of of the members

6. If a laborer does a piece of work in 18 days for $70, how much should he receive for 7 days' work?

7. If of M feet of lumber cost $63, what is the value of of M feet? [M = 1000.]

8. Three-fourths of a farm was sold at the rate of $50 per acre, and the receipt from the sale was $2100. How many acres did the farm contain?

9. G. can earn $20 in 43 days and H. in 7 days. In how many days can they together earn $100?

10. Two boys can do a piece of work in 5 days and 8 days respectively. In what time can they both do it?

11. A. can do a piece of work in 3 days, B. can do it in 4 days, and C. can do it in 5 days. In how many days can all together do the work?

LESSON XXXIV.

1. A father and son undertake to do a piece of work. If, on its completion, they receive $48, how much did each earn, assuming that the father could do the work alone in 3 days and the son in 4 days?

Hence, the + 3 = 18 + 14 or % of $48 =

Solution.-Equations: 3 = 1; 4 = 2. father did 4 in 1 day, the son, and both Therefore, the father earned $27, and the son 14 or 7 of $48 $21.

32

=

63

2. A. can build a wall in 2 days and B. can build it in 3 days. Assuming that they build the wall together and receive therefore $23, how much should each.receive?

3. Two men contract to labor together and at the end received $121. How was this sum justly divided between

them if one did in 3 days as much as the other in 4 days?

4. If 6 men can dig a trench in 44 days, in what time can 4 men dig a similar trench?

5. A. and B. are collectors. As often as A. collects $3 B. collects $4. How much does each collect when both collect $147?

6. What number is that which being increased by of itself and 37 more equals 453?

7. Paul had 2 times as much money as Richard. He spent

had $70.

A

of what he had, earned $10, and then both How much had each?

8. I sold

of my ducks and of the remainder. If 3 were left, how many had I at first?

9. If 4 men do a piece of work in 12 days, how long will it take 3 men to do a piece of work 3 times as great?

10. Two employes earn respectively $4 and $3 per day. At the end of a certain period they receive $210. How much of this sum did each earn?

11. A piece of work cost in all $280. When of it was completed three men contracted to finish it and worked 1, 2, and 4 days, respectively. How much should each receive?

12. An apple-vender sold his fruit 4 for 5, but bought it 6 for 5. When he had gained a dollar, how much fruit had he sold?

13. A woodman felled of his trees and had left standing 135 more trees than he felled. How many trees had he?

14. A trolley-car runs 20 miles in 1 hours. At that rate how far will it go in 5 hours?

LESSON XXXV.

1. The sum of the ages of A., B., and C. is 147 years. What is the age of each, if A. is as old as B. and B. is as old as C.?

2. How much can A. and B. together mow in 7 days, if A. can mow 10 acres in a day and B. 12 acres in of a day?

3. A grocer exchanges lard for butter, giving 5 pounds of lard for 2 pounds of butter. Assuming that lard is worth 10 cents a pound, what are 2 pounds of butter worth?

4. Three legatees, A., B., and C., received $1480, as follows: A. as much as B., and B. as much as C. How much did each receive?

5. After selling 5 of my fowls, and then of the remainder, I had 45 fowls left. How many had I at first?

6. A pedestrian travels 25 miles in 8 hours. How far at that rate can he travel in 10 hours?

7. Matthew is 32 years older than Richard. How old is each if Richard is as old as Matthew?

8. Mr. Henry has a monthly income. After expending $90 per month and earning of what is left, he has $75. Find his monthly income.

9. of the number of acres in a field is 17 acres less than of the number of acres in a field twice as large. How many acres in the field?

10. Two-thirds of a number added to g of the same number, and the sum multiplied by 23, yields a product of 95. Find the number.

11. A man owning of a mine sold of his share for $21,000. From this sale estimate the value of the mine.

12. A man gave a gift of money to his 3 sons. To the oldest, of the money; to the second, of it; and to the third, $30 less than to the second. How much did each receive?

LESSON XXXVI.

1. When eggs are bought at 30 cents a dozen, and sold again so as to gain 1 cent on every 5 cents, how many are sold for 27 cents?

2. Find how much beef, at 163 cents a pound, can be bought for $5?

3. When silk is worth $2.50 for 14 yards, find how much can be bought for $41.

4. A landau was bought for $240, which was less than its value, and sold again for more than its value. What was the gain?

5. Three drovers, A., B., and C., had cattle in a pasture as follows: A., of the number; B., ; and C., 24 less than both A. and B. What was the number of cattle in the pasture?

6. How much of $50 was left, after paying John for 16 days' work, at $14 per day, and Henry for 15 days' work, at $3 per day?

7. A horse cost $150, which was of 6 times the cost of the harness. What was the cost of the harness?

8. A miller sold 16 barrels of flour for $108, and gained $24 on each barrel. How much was the cost per barrel?