Find the cost of: 70. 51 yd. voile at $1.10 per yard. 75. It cost a farmer $3.51 per load to draw his produce to market, 6.75 miles. Find the cost per mile. 76. How much will it cost to drill a gas well to a depth of 1125 ft. at $1.05 per foot? 77. How long will it take a gasoline launch that has a speed of 6.75 miles per hour to travel 20.25 miles? 78. If 123.25 qt. of milk make 17 lb. of butter, how many quarts of milk are required to make 1 lb. of butter? 79. A champion cow produced 34.32 lb. of butter in 1 week. At that rate, find the yield in 8 weeks. 80. Find the value of the oil from 750 coconuts, if 100 coconuts yield 2 gal. of oil worth 50¢ a gallon. 81. Find the perimeter of a triangular field whose sides are 60.5 rods, 48.25 rods, and 56.375 rods, respectively. 82. One day's product of a flour mill sold for $ 8002.80, at $3.42 per barrel. How much flour was produced? 83. A farmer sold his wheat for $248.25, rye for $176.45, and hay for $369.50. Find the total income. 84. Mr. Green had a farm of 342.75 acres. He sold from it at different times 37.5 acres, 126.25 acres, and 88.5 acres. How many acres did he have left? Find the cost of each when 85. 7 mufflers cost $6.86. 86. 8 suitcases cost $52. 87. 7.75 tons of coal cost $51.15. 88. 6.25 tons of hay cost $112.50. 89. 37.5 bu. of apples cost $41.25. 90. 5.9 acres of land cost $737.50. 91. Find the area of a lot 60.4 ft. by 40.5 ft. 92. One season 20 trees produced 712 boxes of apples that sold at $1.50 per box. Find the average return per tree. 93. The yield of grapes from a 35-acre vineyard was sold for $4014.50. Find the average income per acre. 94. Our country one year produced 50 million brooms worth 10 million dollars. Find the average average value per broom. 95. A tree produced 910 lb. of nuts one season, worth $.125 per pound. Find the value of the yield. 96. How long will it take an automobile that has a speed of 41.7 miles per hour to go 150.12 miles? 97. An automobile used 1.6 pt. of oil per 100 miles. How many gallons of oil were used on a trip of 2280 miles? 98. How much more will it cost to send 2575 tons of coal by rail at $2.70 per ton than by boat at $.43 per ton? 99. When wheat costs $.625 per bushel, how many bushels can be bought for $1000? 100. A California road 25 miles long was sprinkled with petroleum, 175.5 barrels to the mile. How much did the petroleum cost at $.70 per barrel? ALIQUOT PARTS 1. What part of 100 is 10? 50? 20? 25? 121? 331? 2. What part of $1 is $.10? $.50? $.20? $.121? 3. How many times does $1 contain $.10? $.15? $.50? $.12? Which of these numbers exactly divide $1? The parts of a number that exactly divide it are aliquot parts of the number. Thus, 25 is an aliquot part of 100; 121, of $1. Oral Exercises 1. Memorize this table of the aliquot parts of $1 and their multiples. 2. What part of $1 is $.121? 3. Beginning with $.12, add $.12 successively until you reach $1. 4. Which of the parts of $1 given in the table are aliquot parts? Which are multiples of aliquot parts? 5. What is the cost of 24 articles at $1 each? at $.50, or $1, each? at $.25, or $1, each? 6. From the parts of $1 given in the table make a similar table of the corresponding parts of 100: thus, 50 is of 100; 25 is 1 of 100; etc. 7. Memorize the table you have made. Written Exercises 1. Find the cost of 44 pairs of tennis shoes @ $.66%. SOLUTION. At $1 each, 44 pairs tennis shoes would cost $44. Then, at $.663, or $3, each, 44 pairs cost of $44, or $29.33. NOTE. — Give results to the nearest cent, discarding less than cent and counting cent or a greater fraction of a cent as a whole cent. Find the cost of 120 articles @ : 25. 75 yd. @ $.30. 29. 144 yd. @ $.75. 30. Find the cost of 72 plates @ 10%. Find the cost at wholesale of: 38. 48 purses @ $.831. 43. 100 lb. pecans @ $.163. MILNE'S MOD. AR. I- - 17 44. Find the cost of 15 whips at $1.25 each. $15 3.75 $18.75 The business man writes $15, the cost at $1 each; below $15 he writes $3.75, the cost at $.25, or $1, found by dividing $15 by 4. Adding, he obtains $18.75, the cost at $1.25. 45. Find the cost of 22 yd. of carpet at $.87 per yard. $22 What is the cost at $1 per yard? at $.12, or $1, per yard? at $1-$.12, or $.871⁄2, per yard? 2.75 $19.25 58. 44 yd. silk @ $1.25. 59. 48 yd. satin @ $1.333. 60. 32 yd. linen @ $1.121. 61. 56 croquet sets @ $1.50. 62. 33 fishing rods @ $2.25. 63. 30 bathing suits @ $1.75. 64. Find the cost of 27 buggies at $75 each. 675 of $2700 = $2025 At $100 each, 27 buggies would cost $2700. At $ 75 each, then, they cost of $2700, or $2025. Find the cost of: 69. 12 ponies @ $137. 71. 16 pianos @ $1871. |