40. A can do in 2 days the work which B can do in 3 days. If B works with A, in how many days will the work be done? 41. What costs a strip of rosewood 4 ft. long, 3 in. wide, and 11⁄2 in. thick at 60 cents a board-foot? 42. A note dated August 11 is payable in 33 days. On what day must it be paid? 43. A sidewalk a mile long contains just an acre. How wide is it? 44. If of a pound costs $, what will of a pound cost? 45. I give of my potatoes to Mr. Murphy for digging them. He sells his share for $ 8, at 40 cents a bushel. What can I get for my share at the same rate? 46. Emma's birthday is Aug. 16, 1872. John is 4 y. 8 mo. 27 days older. When is his birthday? 47. Name the natural divisions of time. 48. A cylinder 10 inches long has 3 of a square inch as the area of its base. What is its weight if each cubic inch weighs 2 ounces? 49. If your school-room is 15 feet high, and contains 12000 cubic feet, how many square feet are there in the floor? WRITTEN EXERCISES. 50. How many times is the greatest common divisor of 1116 and 1364 contained in their least common multiple ? 51. Divide the product of 0.008 and 0.06 by 0.16. 52. Change To to a decimal. 53. Change to hundredths. 54. If a rail is 33 feet in length, how many rails will lay a double track of railroad 10 miles long? 55. What cost 17.65 tons of coal if $ 28 pays for 31 tons? 56. An estate is valued at $14000. The house is worth as much as the land. Required the value of each. 57. I have a square mile of land. I sell of it to one man, to another, and 100 A. to a third. How many acres have I left? 58. I have $570 in my safe, which is $80 less than of what I have in the bank. How much money have I? 59. The runners in a 10-mile race go how many times around a park 320 feet long and 300 feet wide? 60. Change 20000 square inches to larger denominations. yd. wide will be re 61. How many yards of carpeting quired for a parlor 28 ft. by 15 ft. ? 62. How many cubic yards of earth will be required to raise the surface of an acre one foot? 63. A brick is 8 in. long, 4 in. wide, and 2 in. thick. How many will be required to lay mile of 8-foot sidewalk, the bricks being laid flat? 64. How many will be needed if the bricks are laid with their sides uppermost ? 65. How much larger is a square 20 rods in diameter than a circle of the same diameter ? 66. How many tons of ice can be cut from 4 of an acre of a pond, the ice being 12 inches thick, and a cubic foot weighing 930 ounces? 67. How many square yards in a piece of calico 30 inches wide and 45 yards long? 68. I gave $100 for a hektoliter of wine, and sold it for $5 a gallon. Did I gain or lose, and how much? 69. I have a piece of land 150 feet deep and fronting 200 feet on the street. I cut it into 50-foot lots, 150 feet deep, and fence each lot. What does my fencing cost at $0.16 per rod? 70. How many times will the 5-foot driving-wheel of a locomotive revolve in going from Boston to Lawrence, 26 miles? 71. How many cords of wood can be piled in a shed 40 ft. long, 12 ft. wide, and 83 ft. high? 72. How many square feet in a lot of land 1 rd. 8 ft. long and 3rd. wide? 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 2 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? 71 3000 = ? 77. (17.28 0.0831) × 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 +3. 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 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 being wasted in sawing? 91. From a lot 90 rods square I sold 90 square is the value of the remainder at $ 240 per acre? rods. What 92. From a piece of cloth containing 94 yards, 3 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 å 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 carpeting yd. 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 14 tons of coal at $5 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 3 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? PERCENTAGE. 3 00 00 100 232. 1. What is T of 100? 180? Too? 13? Pol? 2. What is 13 of 500? 18? You? 18? Pol? 3. A farmer lost 15 sheep from a flock of 100. hundredths of the flock did he lose? 4. How many hundredths of $1 are 17 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? How many 39 cents? of it? of it? 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, | 12% = 5% = 0.05 0.12 5 100 % 100 = 20 62% = 0.621 = = 100 100 = 100 1371 = 11 |