58. Allowing in a mow 500 cubic feet of space to a ton of hay, how many tons of hay will there be in a mow 20 feet long, 12 feet wide, and 15 feet high?

59. If a bushel of corn will occupy 8 tenths of a cubic foot of space, how many bushels will a bin contain whose inside measure is 6 ft. long, 4 ft. 6 in. wide, and 3 ft. deep?

60. If a man can lift 201 lb. 12 oz. and that is 8 times what a boy can lift, how much can a boy lift?

61. How many square yards of carpeting will it take for a room 26 ft. by 32 ft.

62. A milkman left 2 gal. 3 qt. 1 pt. of milk at a boarding-house every morning for 6 days. What quantity did he leave in that time?

63. How much must be paid for a range of wood 100 feet long, 4 feet wide, and 4 feet high, at $7.50 a cord?

64. Allowing 40 cubic feet for the storage of a ton of anthracite coal, how long must a bin be that is 4 feet wide and 4 feet deep, to hold 24 tons?

65. Into how many lots, of 76 square rods each, can a field of 29 acres 40 square rods be divided, and what will remain ?

66. If, when laid, 20 bricks are required to a cubic foot of brick-work, how many bricks will be required to build a wall 64 feet long, 10 feet high, and 16 inches thick?

67. What will 16 pounds cost if one pound costs 331 cents?

68. Paid $100 for 14 yards of silk; what was that per yard?

69. Bought 3 pounds of steak at 28 cents a pound, and a dozen and a half of eggs at 30 cents a dozen. How much change should I receive from a $ 2 bill ?

70. Add 0.5, 0.184, and 0.561.

71. What will 3 T. 90 lb. 4 oz. sugar cost at a cent an ounce ?

72. What will it cost to pave a rectangular yard 100 ft. long by 60 ft. wide at 75 cents per square yard ?

73. If a cubic foot of granite weighs 166 pounds, what will a cube 5 feet long weigh?

REVIEW QUESTIONS.

2. What is a number?

143. What is a denomination? 144.

What is a denominate number? 145. What is a compound

denominate number?

78. What is United States Money? 79. What are coins? 39. Why may cents be written as hundredths, and mills as thousandths, of a dollar?

152. What is a surface? 153. What is a rectangle? 135. What is a square

?

156. What is a volume? 157. What is a rectangular volume? 137. What is a cube?

160. What is a cord of wood? What is a perch of masonry? 161. What is a board foot?

161. How do you find the contents in board feet of a board, plank, joist, etc.?

PERCENTAGE.

163. 1. What is 1 of 100? Of 200? Of 300 ? Of 400 ?

2. What is of 100? 18 of 100? 15 of 100?

100

3. How many hundredths of $1 are 3 cents? cents? 13 cents?

6

4. How many hundredths of 1 is expressed by .03? By .05? By .13? By .31?

5. How many hundredths of a dollar is of a dollar? of a dollar?

6. How many hundredths of anything is of it? of it? of it? of it?

7. In a school of 50 pupils, 3 were tardy? How many was that per. hundred ?

164. Per Cent means by the hundred. Thus, 3 per cent means 3 of every 100, or 3 hundredths.

165. The Sign % is used for the words per cent.

Thus, 3% means 3 per cent, and 41% means 41 per

cent.

166. The Rate is the number of hundredths.

It may be expressed in the form of a common fraction, or of a decimal. Thus,

1 per cent, or 1%, may be written, or .01. 3 per cent, or 3 %, may be written, or .03. 6 per cent, or 6%, may be written 18, or .06. 121 per cent, or 121 % may be written 12, or .123.

100'

100'

100 per cent, or 100 %, may be written 100, or 1.00. 103 per cent, or 103 %, may be written 103, or 1.03.

100,

167. Any Per Cent of a number is such a part of the number as is denoted by the rate.

168. Percentage is the process of computing in hundredths.

Write in the form of a common fraction in its smallest

Solution. As any number is 100 per cent of itself, of the

number must be of 100 per cent, or 25 per cent.

To find any Per Cent of a Number.

33. What is 5% of 600 ?

Solution.

As 5% is 150, 5 % of 600 is 15 of 600. 1 of 600 is 6, and 150 is 5 times 6, which is 30.

34. What is 9% of 100 yards? Of 300 yards?

35. What is 6% of $12? 4 per cent of $25?

36. In a school of 300 pupils 25 % are in the first class. How many are in the first class?

WRITTEN EXERCISES.

37. What is 3 % of $225 ?

169. To find any per cent of a number:

Rule.

Multiply the given number by the rate per cent expressed decimally.