73. How much oil-cloth 8 feet wide is needed for a hall 55 ft. long and 32 ft. 8 in. wide ? 74. How many acres in a street 60 feet wide and 3 of a mile in length? 75. At $0.163 per square yard, what will it cost to plaster a room 20 ft. square and 12 ft. high, allowing for openings? 76. What will, the flooring of the above room cost at $35 a thousand feet, of the quantity bought being wasted? 77. (17.28 711 0.0831) × 0 = ? 78. What decimal of a day has gone at 3 P. M.? 79. A room 8 feet high is 16 feet long and 14 feet wide. How many yards of paper 2 feet wide will cover the walls? 80. A steamer reaches Boston at 3.15 P. M., Aug. 3, 1881, by the steamer's time, after a voyage of 7 d. 15 h. 30 min. Find the exact time of her sailing. 81. How many square yards of silk in 300 feet of 3-inch ribbon ? 82. What cost 18 gal. 3 qt. 1 pt. at $ 0.45 per gallon? 83. Find the difference between 0.73 and 0.7 + . 84. From an acre of land I sold 8 square rods, and also a piece 8 rods square. How much have I left? 85. A pile of wood containing 4 cords is 5 ft. 6 in. high and 4 feet wide. How long is it? 86. A room 30 feet long requires 80 yards of carpeting 3 yd. wide. How wide is the room? 87. A field containing 5 acres is 600 feet long. Required the distance around it. 88. The 56 desks in a school-room are 2 feet by 18 inches. How many yards of 40-inch cloth will cover them? 89. How many 2-inch cubes will a cubic yard make? 90. How many feet of inch boards can be sawed from a stick of mahogany 15 feet long and 20 inches square, 0.05 be ing wasted in sawing? 91. From a lot 90 rods square I sold 90 square rods. What is the value of the remainder at $ 240 per acre? 92. From a piece of cloth containing 94 yards, 33 yards were cut. What part of the whole piece remained? 93. A garden is 12 rods long and 10 rods wide. At 75 cents a square yard, what will a concrete walk 6 feet wide, and extending around the garden inside the fence, cost? 94. A garden 240 feet long and 160 feet wide is enclosed by a tight board fence 6 ft. high. What will it cost to paint both sides of the fence at 5 cents per square yard? 95. How many days, hours, and minutes from 10.30 P. M., Feb. 4, to 3.40 A. M., May 11? 96. A regiment of 900 soldiers is to be clothed; each suit requires 9 yards of cloth 14 yd. wide. How many yards of flannel yd. wide will be required to line the suits? 97. I have a room to carpet that is 30 feet long and 27 feet wide. Which is cheaper, to buy yard-wide carpeting at $1.25, or carpetingyd. wide at $1, and how much? 98. If the weight of a hektoliter of wheat is 75 kilos, what weight of wheat in metric tons will fill a bin 2 meters long, 1.4 meters wide, and 1 meter deep? 99. What will it cost to shingle a house 112 ft. long, each side of the pitch-roof being 25 ft. wide, 10 shingles covering a square foot, the shingles costing $ 6.50 per thousand. 100. Bought 71 dozen at 183 cents a dozen. Required the cost of 12 dozen. 101. Sold 143 tons of coal at $5g per ton, and 123 tons at $6 per ton, and charged 25 cents a ton for housing the coal. Find the amount of my bill. 102. From the product of 33 and 4 take half their dif ference. 103. If 17 gallons cost $193, what will ‡ of a gallon cost? 104. From a piece containing of a yard I sold of a yard at $a yard, and gained $. What did the piece cost me? 2 PERCENTAGE. 232. 1. What is Tb of 100? 180? To? ? ? 13 2. What is 13 of 500? 18? ? 9 3. A farmer lost 15 sheep from a flock of 100. hundredths of the flock did he lose? How many 4. How many hundredths of $1 are 17 cents? 39 cents? 50 cents? of a cent? 5. How many hundredths of anything is 6. In a catch of 100 fish were perch. dredths of the whole were perch? of it?of it? How many hun 233. Per cent means by the hundred. Thus, 3 per cent means 3 of every 100, or 3 hundredths. 234. The Sign % is used for the words per cent. Thus, 3% means 3 per cent, and 41% means 4 per cent. 235. Percentage treats of computing in hundredths. 236. The Rate per cent is the number of hundredths. 237. The Base is the number of which the hundredths are taken. 238. The Percentage of a number is the part of it denoted by the rate per cent. 239. The Rate per cent, being a number of hundredths, is a fraction, and may be expressed in the form of a decimal or of a common fraction. Thus, 100% 1.00 100 = 20 = 25 = 100 0.123=13 25% 0.25 = = 10/001 Express decimally: EXERCISES. 7. 5%; 6%; 7%. 10.3%; %; 1 %; .07 %. in smallest terms: 16. 663 %; 75 %; 80 %. 17. 125 %; 150%; 200 %. 40%; 60%; 14 %. Express as common fractions Change the following fractions to hundredths: The Base and the Rate given, to find the Percentage. ORAL EXERCISES. 25. What is 5% of $4? As 5% is 150, 5 % of $4 is 156, or 2, of $4, which Of 700? Of 600 ? 26. What is 4 % of $40? 6% of $44? 3% of $400 ? 27. What is 8 % of 200? Of 500? 28. What is 10 % of 90 yards? 12% of 72 miles ? 29. What is 20 % of a cubic yard? 5% of an acre? 30. What is 16% of a day? Of a foot? Of a gross ? 31. What is 2% of a ton? 75% of it? 2 of it? 32. How many square inches in 663 % of a square foot? 33. What is the difference between of a mile and % of a mile? Or, 240. The Amount is the base plus the percentage. 241. The Difference is the base less the percentage. WRITTEN EXERCISES. 34. What is 37% of $8.24? $8.24 × 0.37 = $3.09 1.03 $8.24 × = $3.09 35. A's money is $ 2575. or 3, 37% of $8.24 is 0.37 times $8.24, or of $8.24, which is $3.09. If by trading he should increase it by 40 %, how much would he then have? 36. A's income is $1890. If he should spend 83% of it, how much would he have left? 242. Rule for finding the Percentage. Multiply the base by the rate per cent. Let b represent the base, r the rate per cent, p the percentage, a the amount, and d the difference, we have the 45. Johnson bought a house for $4850, and paid down 15 %. How much did he then owe for it? 46. A merchant sold goods which cost him $9675.75, at a profit of 16%. How much did he get for the goods? How 47. Bought a bill of goods amounting to $186.80, and for cash payment obtained a deduction from it of 5%. much was the deduction? 48. How many persons are engaged in agriculture, when they constitute 24% of a population of 61450? |