59. From 6 mi. take 4 mi. 140 rd. 4 yd.

60. A man has a bin 6 ft. long, 4 ft. wide, 3 ft. deep, filled with wheat. If he sells 10 sacks, each containing 2 bu. 1 pk. 5 qt., how much is left?

61. From a piece of land 20 rods long, 180 ft. wide, were sold 4 lots, each 50 ft. wide, 150 ft. long. What part remained?

62. A merchant bought two casks of wine, each containing 41 gal. 3 qt., at $1.80 per gallon. One-seventh of it leaked away. He sold 9 kegs, each containing 5 gal 1 qt. at 30g a pint, and the remainder for 40g a pint. How much did he gain?

63. A coal-dealer bought 34160 lb. of coal at $2.50 per long ton. He sold 8 loads, each 1 T. 4 cwt. 60 lb., at $3 per short ton, and the rest for $3.25 per short ton. How much did he gain?

64. Change 3,895,504" to higher denominations.

65. Three quadrants of a circle are equal to how many seconds?

66. Through how many degrees does the minute-hand of a clock pass in 2 hours? Through how many does the hour-hand pass in the same time?

67. How many minutes elapse between four o'clock Friday afternoon and nine o'clock the following Monday morning?

68. A boy was exactly 10 years old when the United States declared war against Mexico, May 13, 1846. How old was he at the time of the first bloodshed of the Civil War, April 19, 1861 ?

six o'clock Monday of a mile a minute.

69. A train leaves New York at evening, and travels an average of When will it reach Buffalo, a distance of 410 miles?

70. A cistern that holds 50 bushels is 6 ft. square; how deep is it?

71. A pile of wood is 6 ft. high and 4 ft. wide. How long must it be to contain 3 cords?

72. A man has a circular garden with a diameter of 36 feet. How many rods of fencing will be required to enclose it?

73. How many square yards in the above garden?

74. A city lot is 35 ft. front and 125 ft. deep. Find the area.

75. A meadow contains 83 acres. Its width is 35 rods; find the length of it.

76. How many yards of carpeting 3 of a yd. wide will be required for a room 18 ft. wide and 20 ft. long, if the strips run lengthwise, and there is a waste of 6 in. in each strip for matching patterns?

77. The platform in a schoolroom is 30 ft. long and 11 ft. wide. What will be the cost of oil-cloth, at 85 cents a sq. yd., to cover it?

78. How many feet, board measure, in 6 boards 16 ft. long, 10 in. wide, 1 in. thick?

79. Find the cost of 10 Norway sidewalk planks 16 ft. long, 12 in. wide, 2 in. thick, at $18 per M.

80. A class-room is 15 ft. long, 12 ft. wide, 10 ft. high. Find the cost of plastering it at 20 cents a yard.

81. A room is 30 ft. long, 40 ft. wide, and 16 ft. high. Find the number of square yards of plastering in it after making allowance for wainscoting 3 ft. high, 8 windows, 4 ft. by 8 ft., and 6 doors, 3 ft. 6 in. by 7 ft. 6 in.

82. What will it cost to paper a kitchen 12 ft. by 11 ft. and 9 ft. high, with 10-cent paper, if each roll covers 4 sq. yd.?

83. Find the cost of papering a room 16 ft. long, 12 ft. wide, 9 ft. 6 in. high, with paper 18 in. wide, 8 yards in a roll, at 50 cents a roll, if 20 sq. yd. be allowed for doors, windows, and base-boards.

84. If a shingle is 4 inches wide, and lays 5 inches to the weather, how many shingles will it take to shingle one side of a roof that is 32 ft. long by 22 ft. wide, allowing an extra course at the eaves? How many for both sides?

85. What would be the cost of the shingles for both sides of the roof in No. 84 at $3.25 per M.?

86. The product of two numbers is 1; one of the numbers is. What is the other?

87. What fraction multiplied by will equal?

88. How many square yards of carpet will be required to carpet a room that is 27 ft. by 33 ft.? How many yards of carpet will be required if the carpet is 30 inches wide?

89. If a hotel uses 3 pounds of coffee a week, what would be paid for coffee at 38 cents a pound for January, February, and March, 1896 ?

90. When it is noon at New York, 73° 59′ 9′′ W., what is the time at Chicago, 87° 36′ 42′′ W.? What is the time at New York when it is noon at Chicago?

91. When it is noon at Greenwich, what is the longitude of a place whose time is 8.30 A.M.

92. A and B start at a given point, and travel in opposite directions. A travels until his longitude is 30° 40′ greater than it was, and B travels half as far as A. What is the difference in time between the places they are then in? 93. What part of a pound Avoirdupois is a pound Troy?

94. What part of an ounce Troy is an ounce Avoirdupois?

95. A druggist bought opium at $8 a pound Avoirdupois, and sold it at 75g an ounce Troy. What was his profit on 10 pounds?

96. How much heavier is a pound of iron than a pound of gold?

97. What is the difference in the areas of two fields, one being 5 Hm. long and 8 Dm. wide, the other 8 Hm. long and 14 Dm. wide?

98. In a cubic dekameter how many cubic millimeters? 99. A rectangular field is 5.4 Hm. long and 1.5 Hm. wide. How many hektares does it contain?

100. Three fields have an area respectively of 19 A. 146 sq. rd., 12 A. 73 sq. rd. 15 sq. yd., and 9 A. 127 sq. rd. 26 sq. yd. What is the total area?

101. Find the volume and the area of the curved surface of a cylinder whose diameter is 8 in., and whose altitude is 11 in.

PERCENTAGE.

225. Oral.

How much is of 20?

5 is of what?

5 is what part of 20? 5 is how many hundredths of 20? Questions of Relation may be solved by means of hundredths; thus,

c. 5 is what part of 20? 5 is how many hundredths of 20?

Another name for hundredths is per cent; thus, 2 is 25 per cent, 1808 per cent, .16 16 per cent, .05 = 5 per cent.

=

The sign of per cent is %. 25 per cent is 25%, 6 per cent is 6%,per cent is

%.

Read questions a, b, and c, using the name per cent where necessary.

Write questions a, b, and c, using the sign % in its proper place.

Solve questions a, b, and c, using decimal per cent.

226. Percentage is a process of solving questions of relation by means of hundredths.

Written.

1. How much is 3% of 400?

Solve the above, then form question b, and solve it.

2. How much is 10% of 200?

Solve the above, form question c, and solve it.

Solve the following questions, then form questions b and c, and solve them.

3. How much is 4 per cent of $200 ?

4. 30% of 500 is how much?

5. How much is 50% of 90?

6. A boy earned $4.00, and spent 10% of it for a book. What was the cost of the book? (Question a.)

7. A farmer had 100 sheep and sold 20% of them. How many sheep did he sell?

Solve the following, then form questions a and c, and solve them.

8. 15 is 10% of what number?

9. 160 is 80% of what number?

10. 50 is 25 per cent of what number?

11. A boy lost 20 cents, which was 5 per cent of all his money. How much money did he have? (Question b.)