93. In 3 score how many dozen? In 5 score?

94. What is the cost of 10 tons of hay, at $8.25 a ton?

95. If a pound of coffee cost .26 of a dollar, how many pounds can be bought for 2.08 dollars ?

96. Count by 's to 10; by 's to 4; by 's to 2.

97. Write of each of the numbers from 20 to 40.

98. Take of each number, below 100, ending in 0 or 5.

99. What is the square of 7? of 9? of 20?

of 4? of 10?

The cube of 3?

100. Express in Roman numerals of each even number between 20 and 50, inclusive.

101. Two men pay equally for a quarter-section of land, at $10 an acre. How much does each man pay?

102. How many rods of fence will enclose a quarter-section of land? What will be its cost, at $3 a rod?

103. How much is a cental of wheat? 2 centals of flour? 104. At $3 a bushel, what will be the cost of 30 lb. of beans? 105. When pork is $24 a barrel, what is 25 lb. worth? 106. What will 3 lb. 8 oz. of beef cost, at 12 cents a lb.? 107. How long and wide is a pane of glass in the schoolhouse window? How many panes in all the windows in the school-room? How many square inches in each pane?

108. How many square feet of glass are there in one window of the school-room? How many in all the windows? 109. If 4 men can do a piece of work in 7 days, how long will it take 1 man to do it?

SOLUTION. It will take 1 man 4 times 7 days, or 28 days.

110. In 1 gal. there are 231 cu. inches. How many cu. in. in 10 gal.? In of a gal.? In of a gal.?

111. How many square rods in a piece of land 30 rd. long and 25 rd. wide? How many rods of fence will enclose it?

113. - ? 114. 8×6=?

bu. x 8=? cwt. x4=? wk.x5=?

115. How many pecks in 300 bu.? In 100 bu.?

116. There are 160 sq. rods in 1 acre. How many sq. rods in 10 A.? In .1 of an acre? In .01 of an acre?

117. There are 1728 cu. inches in 1 cu. foot.

cu. in. in of a cu. ft.? In of a cu. ft.?

How many

118. At 6 cents a square foot, what will it cost to dress a stone that is 6 ft. long and 5 ft. wide?

119. There are 5280 ft. in 1 mile. How many feet in .3 of a mile? In .03? In .001? In .005?

120. There are 60 min. in 1 hour. How many minutes in an hour? In .5? In ? In .25?

121. How many breadths of carpeting 1 yd. wide will it require to cover a room 15 ft. wide? 18 ft. wide?

How many

122. A room is 24 ft. long and 18 ft. wide. breadths of carpeting 1 yd. wide will it take to cover the floor, if laid the long way of the room?

123. How many yards must be bought to cover the floor, allowing 2 yd. for waste in matching ?

124. How many yards long must each breadth be?

125. If 2 men cut 4 cords of wood in 1 da., how much can 10 men cut in the same time?

SOLUTION. 10 men can cut 5 times as much as 2 men, or 5 times 4 cords, or 20 cords.

126. If 2 weeks board cost $10, what will 4 weeks board cost? 10 weeks? 20 weeks?

127. If 320 rd. of fence cost $600, what will 160 rd. cost?

SOLUTION. 160 rd. will cost as much as 320 rd,, or of $600, which is equal to $300.

128. If 30 da. board cost $12, what will 15 da. board cost? 129. If 24 bbl. of potatoes cost $7, what will 5 bbl. cost? 130. If 5 cords of wood cost $30, what will 10 cords cost? 131. If bu. of oats cost 20 cts., what is the cost of 10 bu.? SOLUTION. 10 bu. will cost 20 times 20 cts., or 400 cts., equal to $4. 132. If 3 barrels apples cost $19.125, what will be the cost of 100 barrels ?

133. A grocer bought 12 firkins of butter, each containing 56 pounds, at 24 cents a pound; he afterward sold 5 firkins. at 30 cents, and 7 firkins at 28 cents a pound. What was his whole gain?

From expressions like the following, let the pupil prepare, on slate or paper, practical examples; thus,

134. $7 + $5.

EXAMPLE. I paid $7 for a ton of coal, and $5 for a cord of wood. What did I pay for both?

Ex. From a cask containing 40 gal., 10 gal. were drawn out. How many gallons remained?

136. $8 x 6.

Ex. If a barrel of flour cost $8, what will 6 barrels cost?

$60 137. 5

Ex. Paid $60 for 5 A. of land. What was the cost an acre?

In like manner, construct examples for the following:

Put in the form of bills, and find the amount of each of the following:

154. Sold a lady a set of furs for $45.50; 10 yd. of silk at $2.50 per yd.; a bonnet for $7.50; a pair of gloves for $1.75; and an umbrella for $3.50. What is the amount of her bill?

155. Make out bill for the following: James Smith bought of Johnson & Co., 25 lb. of coffee sugar at 114; 5 lb. of tea at 754; a box of crackers containing 25 15. at 64; a box of soap for $1; and 3 lb. of coffee at 35¢.

156. E. A. Holbrook bought of Jones & Co., 5 yd. of cloth at $1.25 a yd.; 32 yd. of flannel at 60 cents a yard; 40 yd. of muslin at 11 cents; 1 pair of gloves for $2; 20 yd. of carpet at $1.10. What is the amount of his bill?

157. Rich Brothers bought of Farmer Tuthill, 20 bbl. of potatoes at $2.75; 85 lb. of butter at $.28; 16 doz. of eggs at 22 cents; and 36 lb. of chickens, at 9 cents. What was the amount of the bill?

158. James Lewis & Co. sold to Robt. Herrick 36 lb. of sugar at 10 cts.; 6 lb. of tea at $.75; 25 lb. of coffee at 27 cents; 4 gal. molasses at $.84; 16 lb. of ham at 14 cents; and 2 doz. cans of peaches at 30 cts. a can. Find the amount of the bill?

PERCENTAGE.

83. Per cent means by the hundred, and is commonly expressed by the sign %.

Thus, 5 per cent or 5% means 5 of every 100; as, 5 lb. of every 100 lb.; 5 cents of every 100 cents; $5 of every $100, etc. Hence,

=

5 per cent (5%), or 5 for every 100.05 150 or of every one or unit; 4 per cent (4%), or 4 for every 100= .04

or, etc.

1. Let the pupil recite from the open book by line, thus: 1% of 225 is 1 one-hundredth (1) of 225, or 2.25; 1 of 2342 is 23.42; 1 of 25 is .25; 1 of 2 is .02; 1 of 412 is 4.12, etc.

2. Then 10% of 225 is 1 tenth (1) of 225, or 22.5; of 2342 is 234.2; 1 of 25 is 2.5; of 2 is.2;

etc.

of 412 is 41.2,

3. In this manner read the above by line and by column ; and then as miles, pounds, days, etc. Thus, 1% of 225 mi. is 2.25 mi.; 1% of 2342 mi. is 23.42 mi.; 1% of 25 mi. is .25 mi., etc. 10% of 225 mi. is 22.5 mi.; 10% of 2342 mi. is 234.2 mi.; 10% of 25 mi. is 2.5 mi., etc.