EXERCISES 79. Divide by 10, by 100, by 1000, and by 100,000: 40)2457 4 tens are contained in 245 tens, 61 times, with 1 ten remainder. Therefore 40 is contained in 2450, 61 times, with 1 ten remainder; and in 2457, 61 times with 1 ten and 7 units, or 17, remainder. Divide by 20, 30, 40, 50, 60, 70, 80, and 90: Divide by 200, 300, 400, 500, 600, 700, 800, and 900: 36. A 40-acre vineyard in California produced grapes worth $4160. Find the value of the crop per acre. 37. How long will it take a fast freight train running 20 miles an hour to go from Charleston to New York, 804 miles? 38. Mr. Hoy bought a car load of grain. It weighed 34,000 pounds. How many tons did it weigh? 39. A car that weighed 22,800 pounds when empty was loaded with wheat. It then weighed 56,460 pounds. How many bushels of wheat did it contain, if 1 bushel weighs 60 pounds? 40. How much are the freight charges on 35,000 pounds of machinery sent from St. Louis to Wichita at 52 per 100 pounds? $.52 2600 156 182.00 Dividing 35,000 pounds by 100 pounds by cutting off the last two ciphers of 35,000, it is found that 35,000 pounds = 350 hundredweight. Since the freight on 1 hundredweight is $.52, the freight on 350 hundredweight is 350 times $.52, or $182. Freight rates are usually quoted per 100 pounds. Find the freight charges on: 41. 23,200 pounds brick @ 224. 42. 45,000 pounds sugar @ 284. 43. 36,300 pounds coffee @ 35¢. 44. 28,900 pounds rice @384. 45. 56,400 pounds molasses @ 75¢. 46. 38,400 pounds cotton piece goods @ 924. 47. Find the freight charges on 88,600 lb. of sugar shipped from New Orleans to Minneapolis @ 334; from New Orleans to Salt Lake City @ $1.50. 48. Find the freight on 776,400 lb. of corn shipped from Omaha to New York City @ 20¢. 49. Find the freight on 27,000 lb. of raisins shipped from Stockton, Cal., to New York at 95¢. 50. Find the freight on 1400 crates of strawberries shipped from Wilmington, N.C., to Pittsburg at 65¢ per crate. Find the cost of: 51. 22,000 bricks at $6.50 per 1000., 52. 18,000 strawberry plants at $2.50 per 1000. When the divisor is so large that each step in the work must be written, the process is called long division. Divide by 658; 782; 496; 879; 1025; 4560; 7854: 34. How many cars of 48 tons capacity are required to receive the cargo of a Lake Erie vessel carrying 8400 tons of iron ore? 35. If a bale of hops weighs 180 lb., how many bales and how many pounds over will make a ton? 36. It cost a man $1275.00 to drill a gas well 1500 ft. deep. How much did the work cost per foot? 37. A rolling mill consumes about 3,500,000 cu. ft. of natural gas per day. How many households would this amount supply, if each uses 875 cu. ft. per day? 38. A spool of barbed wire contains 1500 ft. How much does this length of wire weigh, if 12 ft. weigh 1 lb. ? 39. A 75-acre field yielded 3 crops of alfalfa in a year, the first 187 tons, the second 158 tons, and the third 105 tons. Find the average annual yield per acre. 40. A steamship has 2450 tons of coal in her bunkers. she burns 175 tons per day, how long will the coal last? If 41. It required 160 dollars' worth of gypsum to fertilize a hop field 80 rd. by 40 rd. Find the cost per acre. 42. A New England state road cost $6388.80 per mile. How much did it cost per lineal foot? 43. A strawberry farm in New Jersey yielded 140,000 qt. of strawberries. How many bushel crates did it yield? 44. In one season 69,750 crates of strawberries were shipped from one county in Delaware. Find the number of car loads shipped, considering 225 crates as a car load. COMBINATION OF PROCESSES 82. When + and are the only signs in an expression, the operations are performed in order, beginning at the left. 2 +86 +3 = 10 − 6 + 3 =4+3 = 7. 83. When x occurs in an expression in connection with +, or both, the indicated multiplications must be performed first. 8+2×398+69 = 5. 84. When occurs in an expression in connection with +, or both, the indicated divisions must be performed first. 10 −8÷2 + 5 = 10 − 4 + 5 = 11. 85. When x and are the only signs in an expression or are succeeding signs in any expression, the indicated multiplications and divisions are usually performed in order from the left. 86. The parentheses (), brackets [], braces {}, and the vinculum called signs of aggregation, are used to group expressions, each group being regarded as a single number. All operations within groups should be performed first. 10 × 6 − 2 + [9 ÷ (2 + 1) ] = 10 × 4 + 9 ÷ 3 = 40 + 3 = 43. |