DENOMINATE NUMBERS.

CANCELLATION.

740. Slate Problems.

Indicate operations, and cancel where possible:

1. If 56 men can pave a street in 24 days, how long will it take 32 men to pave it?

2. When a vessel sails 168 miles a day, she completes her voyage in 14 days. In what time would she complete it if she sailed 196 miles a day?

3. If a field would support 64 sheep for 21 days, how long would it support 48 sheep?

4. If 42 men could build a wall in 24 days, how many men could build it in 18 days?

5. If 21 horses are worth as much as 35 cows, how many horses are worth as much as 55 cows?

6. A girl that wrote 36 letters to a line, took 15 lines in writing a piece of dictation. How many lines would a girl that wrote 30 letters to a line, require for the same dictation?

7. If a boy that steps 27 inches at a time takes 1,000 steps in going home from school, how many steps will be taken by a boy that steps 30 inches?

8. If 1,920 bricks will build a wall 15 yards long, how many bricks will be required for a similar wall 24 yards long?

9. A train going 44 miles an hour, went a certain distance in 9 hours. How long would a train take that went 36 miles an hour?

10. Find the cost of one-eighth of a barrel of flour (196 lb.), at the rate of 11 cents for 31 pounds.

11. Six men can do a certain piece of work in eighteen days. How long would it take eighteen boys to do the same work, if one man can do as much work as two boys?

12. If a certain quantity of flour will last 48 persons 57 days, how long will it last 38 persons?

13. Divide of 56 by 1 times 32.

28. 103 T. 808 lb. by 8 T. 1,234 lb.
29. 52 gal. 2 qt. by 3 gal. 2 qt.

30. 68 bu. 1 pk. by 5 bu. 1 pk.

31. 30 ft. 8 in. by 1 ft. 11 in.
32. 52 yd. 9 in. by 4 yd. 2 ft. 3 in.
33. 51 wk. 3 da. by 2 wk. 6 da.

MEASUREMENTS.

745. Slate Problems.

Make a diagram in each case:

1. A lot 25 ft. by 100 ft. has on it a house 25 ft. by 55 ft. How many square feet are there left for a yard?

2. How many square feet are there in the floor of a room 24 ft. long, 18 ft. wide?

3. How many square yards are there in the ceiling of the same room?

4. Find the number of square yards of plastering needed for the end wall of a room 18 ft. wide, 9 ft. high, after deducting for two windows each 6 ft. high, 41 ft. wide.

5. How many square yards of plastering will be needed for the opposite wall of the same room, 18 ft. wide, 9 ft. high, after deducting for a door 71⁄2 ft. high, 6 ft. wide?

6. Calculate the number of square yards of plastering needed for two side walls of a room 24 feet long, 9 feet high, after deducting for a fireplace 6 feet square on one side.

7. A house 30 ft. by 60 ft., with an addition 15 ft. square, is built upon a lot 100 ft. square. How many square feet of ground are covered by the building? How many square feet remain for a garden?

8. Measure the top of a brick and calculate the number of square inches in its surface. How many square inches in the surface of the bottom of the brick? Measure one side, and calculate its surface. How many square inches are there in the surface of the opposite side? How many square inches in each end?

9. Measure a crayon box, and calculate the number of square inches in each face.

10. Calculate the number of square feet in the floor of the class-room. In the ceiling. In each side wall. In each end wall.

PERCENTAGE.

746. Per cent means hundredths. Six per cent means six hundredths, 18, or .06. It is written 6%.