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The date of the note and the time in months are given. Find

the days to run and the date of maturity.

1. Nov. 9, time 2 months. 2. Sept. 3, time 3 months.

8. April 15, time 3 months.

9. March 22, time 2 months. 10. May 20, time 4 months. 11. June 18, time 5 months.

3. Oct. 10, time 4 months. 4. Jan. 8, time 5 months. 5. Sept. 7, time 3 months. 6. Nov. 9, time 2 months. 7. Dec. 1, time 5 months.

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The date of the note, the time it has to run, and the date of discount are given. Find the number of days from the date of discount to the date of maturity.

15. Date of note Dec. 13, time 5 months, discounted Jan. 13. 16. Date of note Nov. 21, time 4 months, discounted Nov. 21. 17. Date of note Jan. 18, time 3 months, discounted Jan. 18. 18. Date of note Mar. 14, time 2 months, discounted Mar. 18. 19. Date of note Aug. 22, time 3 months, discounted Sept. 14. 20. Date of note May 30, time 30 days, discounted June 15. 21. Date of note Jan. 28, time 30 days, discounted Jan. 31. 22. Date of note Nov. 14, time 60 days, discounted Nov. 20. 23. Date of note July 12, time 45 days, discounted July 20. 24. Date of note Sept. 19, time 90 days, discounted Oct. 10.

What are the bank discount and the proceeds of a note, using days of grace-—

25. Of $80 for 26. Of $160 for 27. Of $200 for

5 months 27 days at 7 per cent?

2 months 21 days at 6 per cent?
8 months 9 days at 7 per cent?

28. Of $150 for 4 months 21 days at 5 per cent?

29. Of $100 for 30 days at 5 per cent?

Find the per cent realized on investing in

30. 4 per cent bonds at 80.

31. 5 per cent bonds at 125.

32. 4 per cent bonds at 90. 33. 5 per cent bonds at 110.

1. The time past noon equals of the time past midnight. What is the time of day?

SOLUTION.

The time from midnight to noon is 12 hours.

The time past noon is

of the time past midnight.

of the time past midnight.

The time before noon is

the time past midnight is 12 hours.

the time past midnight is 6 hours, the time past noon. 6 hours past noon is 6 o'clock, P. M.

Find the time of day if

2. The time past noon equals 3. The time past noon equals 4. The time past noon equals 5. The time past noon equals 6. The time past noon equals 7. the time past noon equals 8. the time past noon equals

16

the time past midnight. the time past midnight. the time past midnight. the time past midnight. the time past midnight. the time past midnight. the time past midnight.

9. What is the hour if the time past midnight equals the time to midnight?

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the time to midnight equals & the time past midnight.

The 24 hours are divided into two parts, having the ratio of 3 to 3,

or 3 to 1, which are 18 hours and 6 hours.

6 hours past midnight equals 6 o'clock, A. M.

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1. A father is 30 years old, and his son is 5 years old. In how many years will the son be the father's age?

The difference between

The son's age is to be

SOLUTION.

their ages is 25 years.

the father's.

The difference of 25 years will be the other of the father's.
The father's age will then be 50 years.

He will be 50 years old in 25 years.

2. Two boys earn $1 a day. One has worked 8 days and the other has worked 2 days. How long must they work, that one may have as much money as the other?

3. A father is 35 years old, and his son is 5 years old. In how many years will the son be the father's age?

4. A husband is 40 years old, and his wife 30 years old. In how many years will she be & as old as he?

5. One line is 100 feet long, and another is 80 feet long. A piece must be cut off from each, of the same length, to leave the remaining parts in the ratio of 7 to 5. How long is the piece to be cut off?

6. At what time is the time after noon equal to the time before midnight?

7. Find the gain per cent if the gain equals the selling price.

8. What is the gain or loss per cent if the cost equals the selling price?

9. If the selling price is 4 times the gain, what is the gain per cent?

10. If the selling price is 11 times the loss, what is the loss per cent?

11. Compare in length the diagonal of a square and a line drawn from a corner of the square perpendicular to the diagonal. 12. Find the approximate length of one side of a square having a diagonal of 10 feet.

13. Find the approximate length of the diagonal of a square lot, one side of which is 25 rods.

1. Lowell's age is 4 years, Willie's age equals Lowell's and of Albert's, and Albert's age equals the sum of Lowell's and Willie's. Find the age of each.

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12 years equal Albert's age.

4 years plus of 12 equal 8 years, Willie's age.

2. A owns 6 acres, B owns as much as A and as much as C, and C owns as much as A and B. How many acres does each own?

3. A traveled 9 miles, B traveled as far as A and as far as C, and C traveled as far as both A and B. How far did each travel? 4. A is 40 years old, B is as old as A and is g of C's age, and C is as old as A and B. How old are B and C?

5. A earned $24; B earned as much as A and as much as C, and C earned as much as A and B. How much did they earn together?

6. Three-fourths of A's money equals difference of their money is $200.

of B's, and of the How much has each?

7. Three-fifths of A's money equals of B's, and the difference of their money is $14. How much has each?

8. A and B can do a piece of work in 6 days, and B can do it in 10 days. In what time can A do it?

9. A can do a piece of work in of a day, and A and B together can do it in of a day. In what time can B do it?

10. Three boys can do a piece of work in 4 days; the first and second can do it in 6 days, and the second and third can do it in 8 days. In what time can each do the work?

11. George can do in 2 days what he and his brother can do. in 14 days. How long will it take his brother to do the same work?

1. The hour and minute hands of a clock are together at 12 o'clock. When are they next together?

SOLUTION.

When the minute-hand has returned to 12, the hour-hand will be at 1, and the minute-hand has then to gain 5 minute-spaces. As the distance to be gained is 1 of the distance to be traveled, the minute-hand will require as many minutes as is contained times in 5, or 5 minutes. This added to 1 o'clock will give 1 seconds after 1 o'clock.

hour, 5 minutes, and 27

At what time will the hour and minute hands

2. Be together after 5 o'clock?

3. Be opposite after 5 o'clock?

After 3 o'clock?

After 8 o'clock? 4. After 5 o'clock be 5 minute-spaces apart?

5. After 5 o'clock be 5 minutes of time apart?

6. If 1 pound of tea be equal in value to 50 oranges, and 70 oranges be worth 84 lemons, what is the value of a pound of tea when a lemon is worth 2 cents?

7. A can do a certain piece of work in 3 weeks, B can do 3 times as much in 8 weeks, and C can do 5 times as much in 12 weeks. In what time can they all together do the first piece of work?

8. A lady going out shopping spent at the first place she stopped one-half her money and half a dollar more; at the next place, half the remainder and half a dollar more; and at the next place, half the remainder and half a dollar more, when she found that she had but three dollars left. How much had she when she started? (Reckon back from the last amount.)

9. A market-man bought a certain number of eggs at the rate of 4 for 3 cents, and sold them at the rate of 5 for 4 cents, by which he made 4 cents. What did he pay apiece for the eggs? What did he make on each egg? How many eggs did he sell? 10. A square stick of timber contains 54 cubic feet, and is 16 times its width or thicknees. What are its dimensions?

NOTE.If the stick were cut crosswise into 16 equal parts, each part would be a cube.

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