Divide, using cancellation: 57. 2 × 3 × 6 by 5 × 9 × 4. 58. 3 × 14 × 20 by 15 × 21 × 7. 59. 4 × 15 × 27 by 9 × 5 × 24. 60. 7 × 21 × 77 × 6 by 49 × 33 × 42. 61. 20 × 25 × 32 × 48 by 27 × 40 × 15 × 12. 103. At 12 104. At 163 each, find the cost of 147 balls. each, find the cost of 114 notebooks. 105. At 33 each, find the cost of 102 handkerchiefs. 106. At $1.33 a volume, find the cost of 165 books. 107. At $1.16% a yard, find the cost of 142 yd. of lace. 108. At $1.123 each, find the cost of 112 yd. of velvet. EXERCISE 124 MISCELLANEOUS PROBLEMS 1. At 32 a gallon, what will 12 gal. of vinegar cost? In each of the following examples estimate the approximate answer and write it down. After the problem is solved compare the approximate answer with the real answer. This is one of the best checks against absurd results. Thus 31 × 22 is a reasonable approximation for 33 × 227 in Ex. 2. 4. At 26 a pound, what will 63 lb. of butter cost? yd. of ribbon cost? 5. At 12 a yard, what will 8 yd. of velvet cost? 7. If 6 yd. of silk cost $6.75, what is the price per yard? 8. If 8 doz. men's hose cost $55, what is the price per dozen? 9. A man drives 39.6 mi. in 5 hr. What is the rate per hour? 10. If 48 doz. boys' hose cost $57.60, what is the price per dozen? 11. At 14 a gross, how many gross of buttons can be bought for $3.22? 12. A dealer buys 200 lb. of raisins for $19. How much do they cost a pound? 13. A grocer pays $10.08 a gross for canned soup. How much does he pay per can? 14. If 20 electric lights cost 10 per hour, how long can we burn 4 such lights for 20¢ ? 15. A dealer pays $18.83 for 7 rocking chairs. How much does he pay for each? 16. A dealer sells 17 pails of mackerel for $40.80. What is the price per pail? 17. A man pays $1110 a year for the rent of a city house. How much does he pay a month? 18. A grocer buys a 50-gallon barrel of Porto Rico molasses for $11.50. How much does it cost per gallon? 19. A grocer sells a half chest of tea, 140 lb. to the chest, for $19.60. What is the price per pound? 20. A merchant sold a 40-yard piece of cloth for $45, gaining 12 a yard. How much did the piece cost him? 21. A grocer buys 33 doz. 1-pound cans of cocoa at 43 each and sells them at 58 each. How much does he gain? 22. A dry-goods dealer sold 75 yd. of cloth for $112.50, thereby gaining $28.50. How much did it cost him per yard? 23. If a family uses 3 bbl. of flour in a year, and can buy the flour at $5.50 a barrel or at 3 a pound, how much will be saved by purchasing by the barrel? (Allow 196 lb. to the barrel.) 24. If a family uses 11 gal. of kerosene in 5 weeks, and the kerosene costs 15 a gallon, how much will be used in 52 weeks, and how much will it all cost? 25. If gas costs $1 per 1000 cu. ft., and a family uses 2320 cu. ft. in October and 2475 cu. ft. in November, how much is the gas bill for the two months? 26. At the beginning of the month the gas meter registers 14,260, and at the end of the month 17,140. How much is the gas bill for the month, at $1.25 per 1000 cu. ft.? 27. A grocer buys six 50-pound boxes of dried apples at 4 a pound and sells them at 6 a pound. How much does he gain in all? What fractional part of the cost does he gain? 28. A salesman receives $15 a week. He works 49 weeks a year. His expenses are $396 a year. How much does he save a year? What fractional part of his income does he save? 29. I bought 6 lb. of prunes @ 12, 8 lb. of dried apricots @ 12, 21 lb. of raisins @ 16, 11⁄2 lb. of figs @ 22, and lb. of English walnuts @ 18, and gave the grocer a $5 bill. How much change should I receive? 30. If 1 cu. ft. of water weighs 62 lb. 8 oz., what part of 1 oz. does 1 cu. in. of water weigh? 31. A gallon being 231 cu. in., what does 1 gal. of water weigh? 1 qt. of water? 32. A certain kind of stone is 27 times as heavy as water. What does 2 cu. ft. of this stone weigh? 33. Another kind of stone is 3 times as heavy as water. What does 33 cu. ft. of this stone weigh? 34. If good milk is 1.03 times as heavy as water, what is the weight of a can of such milk containing 3 cu. ft., the can itself weighing 6 lb. 4 oz.? 35. Ice is 0.92 as heavy as water. How much does 1 cu. ft. weigh? How much will a block of ice weigh that is 34 ft. long, 2 ft. wide, and 14 in. thick? 36. A water tank for fire purposes is placed on top of a factory. It is 161 ft. long, 81 ft. wide, and 43 ft. deep. When filled within 2 in. of the top, what is the weight of the water? 37. I bought 8 cans of peaches @ $3.75 a dozen, 15 cans of tomatoes @ $1.37 a dozen, 9 cans of soup @ $1.50 a dozen, 31⁄2 lb. of raisins @ 18¢ a pound, 21⁄2 lb. of nuts @ 17 a pound, 1 gal. of sirup @ 60 a gallon, 1 doz. cakes of soap @ 42 a dozen. How much was my bill? Write the bill. |