65. Find the number of square feet in the windows and doors of the living room.

66. How many square feet are in the walls and ceiling of the kitchen, deducting for baseboards, doors, and windows?

67. At 40 ¢ per square yard, find the cost of plastering the dining room walls, deducting half the area of the doors and

windows.

68. What is the cost of kalsomining the ceiling of the living room and dining room at 9 per square yard?

69. How many square feet of glazing are there in the above plan, W, W having each 4 panes 42 in. by 18 in., and the others having each 4 panes 31 in. by 15 in.?

70. How many yards of carpet, 1 yd. wide, will be required to carpet the living room? How many yards of a yard wide will be required, no allowance being made for matching figures?

71. How much will it cost to excavate a cellar for the cottage 22 ft. wide and 33 ft. long to a depth of 6 ft. at 25 per cu. yd.? ¢

72. What would be the cost of laying the foundation walls 8 ft. high and 18 in. thick at 35 a perch of 25 cu. ft., no allowance being made for corners or openings?

73. How many rolls of paper 18 in. wide, 3 strips to a roll, will be required to paper the living room, deducting the width of the windows and doors, and reckoning a whole roll for any part of a roll required? (Art. 264.)

74. What will be the cost of wall paper for the living room at 65¢ a roll?

75. How many rolls of paper 18 in. wide, 3 strips to a roll, will be required to paper the dining room, deducting for doors and windows, as in Ex. 73? Find the cost of this paper at 50¢ a roll.

76. If an 18 in. border of hard wood is laid around the living room floor, how many square feet of hard wood are laid?

NOTE. The pupil will be aided in this example by first drawing a plan of the flooring.

77. What must be the dimensions of carpeting to fit the remainder of the floor of the dining room exclusive of the hardwood border, and how many breadths of Wilton of a yard wide, and laid lengthwise, will be required? How much will the carpet cost at $1.625 per yard?

78. How many yards of bordering 9 in. wide will be required for a rug measuring before the border is put on 3 ft. long and 21 ft. wide?

NOTE. The corners must be counted twice, as half of them will be cut off when attached to the rug.

79. How many square yards of linoleum will be required for the hall, deducting for the staircase 10 ft. in length and 41 ft. in width?

80. Make similar problems about carpeting dining room and laying linoleum in the kitchen.

81. If a piazza is built 5 ft. wide on the front of the house in the plan on p. 203, and 6 ft. wide on the side, how many square feet are there in the floor of the piazza, reckoning the corner also, the house measuring outside 32 ft. in length and 22 ft. in width?

82. The cottage represented on p. 203 stands upon a lot 12 rd. 2 ft. long, and 6 rd. 1 ft. wide. What was the cost of the land at 5a square foot?

83. What was the cost of grading the above lot at $1.75 per square of 100 sq. ft.?

84. At 50 each, find the cost of planting trees 25 ft. apart on the boundary of the lot, beginning at a corner.

1009

307. Read the following fractions: 15, .05, 2, .26, 37, .37, .04, 1, .07, 170, .32, 18.

32

100.

In the above fractions, what is the common denominator? Fractions like 150, .26, 3, .04, 1, etc., which have 100 for a denominator, are also written thus, 5 per cent (the phrase per cent means hundredths) or 5 % (% means per cent), 26 per cent or 26 %, 37 per cent or 37 %, 4 per cent or 4 %, etc.

.32, 3, 32 per cent, and 32 % of any quantity are equal.

100

It is often convenient to reason in hundredths - reducing other fractions to fractions with 100 for a denominator.

4. Out of a lot of 40 melons, 8 were unsalable. of the lot was unsalable?

were unsalable?

What part

How many hundredths of the lot

5. Out of $100 a man lost $10. What part of his money did he lose? What per cent?

6. A drover had 200 lambs and sold of them. hundredths of them did he sell? What per cent? lambs did he sell?

How many

How many

Oral Exercise

309. Illustrative Example. A nurseryman set out 2820 trees, but lost 15% of them by drought. How many did he lose?

In solving problems, the per cent given may be used as above, either as a decimal or as a common fraction. Use whichever is the quicker method.

Find:

1. 1% of $600, $300, $1000, $4000, $50, $5. 2. 2% of $600, $300, $1000, $4000, $50, $5.

3. 3% of $600, $300, $1000, $4000, $50, $5. 4. 4% of $200, $20, $2, $10, $15, $25.

5. 20% of $1, $10, $100, $1000, $ 200, $20, $2000. 6. 25% of $1, $10, $100, $1000, $ 200, $20, $2000. 7. 75% of $1, $10, $100, $1000, $200, $20, $2000.

Written Exercise

310. 1. Express as decimals: 6%, 8%, 25%, 9%, 4%, 18%, 20%, 10%, 13%, 11%.

2. Express each of the above as a common fraction in the lowest terms.

Expressions like of 1 per cent, of 1 per cent, in which the per cent is less than 1 per cent, are written decimally thus: .001 (of 1 per cent), .001 (1 of 1 per cent).

Express decimally :

3. of 1 per cent,

4. of 1 per cent,

of 1 per cent, § of 1 per cent.

of 1 per cent, of 1 per cent.

Expressions like 121 %, 16%, 81%, etc., are written decimally thus: .121, .163, .081, etc. As common fractions they 121 16 8 are written thus:

100' 100' 100

Express as decimals and as common fractions :

5. 91%, 331%, 12%, 16%.

6. 4%, 81%, 621%, 61%.

7. Express 61% as a common fraction in its lowest terms.