EXERCISE 70

1. How many perches of masonry in a wall 84 ft. long, 16 ft. high, and 11⁄2 ft. thick? How many common bricks are required to build this wall?

2. A cellar is 36 ft. long, 18 ft. wide, and 8 ft. deep. How many cubic feet of masonry in its walls if they are 2 ft. thick?

3. How many bricks are necessary to build a wall 25 ft. long, 12 ft. high, and 24 in. in thickness? What is the cost of the bricks at $9 per M? (M stands for 1000.)

4. How many cubic feet of mortar are required to build a wall 600 ft. long, 10 ft. high, and 18 in. in thickness? How many common bricks are required to build this wall?

5. At $9.50 per M, what is the cost of the bricks required to build a house 40 ft. by 36 ft. and 40 ft. high to the eaves, the highest point of the gable end being 52 ft. above the ground, and the walls 12 ft. thick? Allow 270 cu. ft. for openings.

CARPETING

1. How many yards of carpet are needed for a room 18 ft. by 12 ft., if the carpet is 27 in. wide?

18 ft.

12 ft.

SOLUTION. (1) Let the carpet be placed crosswise. Number of strips 18 ft.+ 27 in. 18 ft. ÷21 ft. = 8.

=

.. Number of yards = 12 x 8÷ 3 = 32. Ans. 32 yd.

.. Number of yards = 6 yd. × 6 = 36 yd.

= 6 yd. x 6 36 yd. Ans. 36 yd.

To find the number of yards of carpet required to carpet a

room:

1. Draw a diagram of the room.

2. Find the number of strips.

3. Multiply the number of strips by the number of yards in one strip.

EXERCISE 71

1. How many yards of carpet are required to cover a room 18 ft. by 16 ft. with carpet 30 in. wide, if the strips are laid crosswise?

2. How many yards of carpet of a yard wide are needed to carpet a room 24 ft. by 18 ft., if the carpet runs lengthwise?

3. How many yards of matting 36 in. wide are required to cover a room 16 ft. by 12 ft., the matting being laid crosswise?

4. How many yards of carpet 30 in. wide are needed to carpet a room 24 ft. long, 20 ft. wide, if the carpet is laid crosswise?

5. Find the cost of carpeting a room 16 ft. by 14 ft. with carpet 27 in. wide at 90 per yard, the strips being laid lengthwise.

EXERCISE 72

1. What fraction of a yard is one foot? What fraction of a yard is 2 feet?

2. What fraction of 1 foot is 1 inch? 3 inches? 4 inches? 5 inches? 7 inches? 8 inches? 9 inches? 10 inches?

3. What fraction of 1 yard is 1 inch? What fraction of a yard is 2 inches? 3 inches? 4 inches? 5 inches? 6 inches? 9 inches? 12 inches? 16 inches? 17 inches? 19 inches? 24 inches? 27 inches?

4. There are 8 quarts in 1 peck. What fraction of a peck is 1 quart? What fraction of a peck is 2 quarts? 3 quarts? 4 quarts? 5 quarts? 6 quarts?

5. What fraction of a square yard is 2 square feet? 3 square feet? 4 square feet? 5 square feet? 6 square feet? 7 square feet?

6. What fraction of 10 is 2? What fraction of 10 is 7? 7. What fraction of 11 is 4? What fraction of 13 is 9? 8. What fraction of 100 is 80 ?

9. Which of the four fundamental rules enables us to solve a problem of this character: What fraction of a number is some other number?

10. If 4 men can do a piece of work in 7 days, how long will it take 1 man to do the same work?

11. If a team of horses can plow a 40-acre lot in 16 days, how long will it take 4 teams, working together, to plow the same lot?

K

12. If a man can do a piece of work in 9 days, what fraction of the work can he do in 1 day? in 2 days? in 3 days? in 4 days? in 6 days?

MISCELLANEOUS EXERCISES

EXERCISE 73

1. How long will it take a person to earn $44.40, if he earns $1.85 a day?

2. If of a quantity of coal is 71 tons, how many tons of coal are there in all?

3. A train runs at the rate of 33 mi. per hour. How many hours will it take the train to run 350 mi.?

4. A man being asked his age replied, "Three elevenths of my age is 13 years." Find the man's age.

5. A's share is of the joint capital, or $2540. What is the joint capital?

6. A dealer sells a piano for $240, thereby gaining of the cost of the piano. What did the piano cost?

7. If a dealer sold a piano for $240 and lost thereby of the cost price, what did the piano cost?

8. If the dividend is 183 and the quotient is 101, what is the divisor?

9. The sum of two numbers is 25, and one of the numbers is 11 times the other number. Find the numbers.

10. A farmer sells of his cattle to one jobber and to another jobber. If he keeps the remainder, what part does he keep? Suppose the number remaining is 27, how many head of cattle had the farmer originally?

11. A dealer sells of his coal, and then of it, and has 121 tons left. How many tons had he originally?

12. If the of a number and the of the same number together make 601, what is the number?

13. If .85 of A's money is $289, how much has he?

14. By gaining .15 of his outlay a man's property amounts to $7245. What was his outlay?

15. Five sevenths of a farm is sold for $1385. What is the value of the farm?

16. How many times will a wheel 12 ft. 4 in. in circumference revolve in going 33 mi. ?

17. How long will it take a person to go 103 mi. at the rate of 6 mi. per hour?

18. A train travels at the rate of 521 mi. in 1 hr. Find its rate per hour. How many hours and minutes will it take this train to travel 208 mi. ?

19. From the ground to the first floor of a house is of the height of the house; if the first floor is 10 ft. above the ground, how high is the house?

20. What part of 45 is of 141 ?

21. If .625 of a gallon of maple sirup cost $1.25, what will 1 gal. of maple sirup cost?

22. When 3 oranges sell for 5 how many oranges can I buy for 80 ?

23. If 8 yd. of calico cost 66, how many yards can I buy for $3.30?

24. A merchant, by selling tea at 69¢ per pound, gains 3 of the cost of the tea. Find the cost per pound of the tea.

20

25. By selling cloth at 78 per yard a clothier loses of the cost of the cloth. Find the cost price per yard of the cloth.