11. The distance from New York to Harrisburg, Pa., is 195 miles. This is of the distance from New York to Pittsburg. What is the latter distance? 12. A steel rail is 30 feet long. This is of the length of a Pullman car. What is the length of a Pullman? Multiplying a mixed number by an integer. Analyze these problems : 1. Find the cost of 6 eggs at 31 cents a piece. 2. Find the cost of 4 qt. of oil at 4 cents per qt. 3. How much will 8 lb. of rice cost at 6 cents per lb. ? 4. Find the cost of 12 lb. of sugar at 61 cents per lb. 5. When berries are sold for 81 cents per basket, find the cost of 6 baskets. 6. A man earns $12 per day. in 6 days? How much does he earn 7. When apples are sold for $11 per bushel, find the cost of 8 bushels. 8. Mary pays $3 for music lessons and takes two lessons per week. How much do her music lessons cost her in 4 weeks? 9. John makes of a cent on each paper and averages 40 papers each day for six days. Find his profit. 10. We pay 7 per qt. for milk. How much is our milk bill in 4 weeks, if we use 2 qt. per day? SUGGESTION. - Find the bill for each day; then for each week; and then for the number of weeks. 11. By buying 25 cents worth of street car tickets, each ticket costs me 4 cents. Find the cost of 12 tickets. 12. A storekeeper makes 14 cents on each can of corn. How much does he make on 18 cans ? 13. John works for 5 cents per hour. If he works 8 hours a day, how much does he earn in 2 days? 14. Mary uses 13 yd. of ribbon for a bow. How much does it take for 9 such bows? 15. Find the cost of a dozen eggs at 3 cents apiece. 16. I pay $5 for a boy's suit. Find the cost of 4 such suits. 17. 3 baskets of cherries cost 25 cents. How much will 12 baskets cost? 12 baskets will cost how many times the cost of 3 29. A book dealer purchases 125 books at wholesale at $1 each. Find the cost. 30. The car fare from Pittsburg to Chicago on the Ft. Wayne is $101. Find the amount received from the sale of 50 tickets. 31. A newsdealer buys 300 papers at 11 cents each and sells them at 2 cents each. Find the cost and the gain. 32. A huckster buys 20 dozen bananas at 10 cents per dozen and sells them at the rate of 2 cents each. Find his gain. 33. A fruit dealer buys a barrel of apples for $41. The barrel contains 240 apples. He sells one half of them at the rate of 2 for 5 cents and the remainder at the rate of 3 for 5 cents. Find his profit. 34. A merchant buys a roll of calico containing 40 yards at 5 cents per yard. Find the cost. 35. The merchant retails the calico at 73 cents per yard. Find the amount received for the roll. 36. A boy lives 13 miles from his school and attends 150 days in the term. How many miles does he walk in a term both to and from school? 37. A department store employs 100 cash girls at $2 per week and 120 other clerks at $42 per week. Find the amount paid to all. 38. If a man can cut an average of 24 cords of wood in a day, how many cords can he cut in 44 days? 39. A dealer in feed finds that a car load of 600 bushels of oats, after paying freight, damage, etc., costs 427 cents per bushel. Find the cost. 40. A contractor buys 20 thousand feet of lumber at $20 per thousand and 16 thousand bricks at $161 per thousand. Find his bill. each. 41. Find the cost of 24,000 railroad ties at 621 42. When lead pencils are selling at $18 per gross (144), find the cost of 3550 gross. 43. Find the cost of sewing buttons on 72 suits, at 17 a suit. 44. A contractor averages 67 rd. a day in digging a sewer. How long is the sewer if it takes him 39 days to dig it? 45. A rural mail carrier travels 23 miles for each delivery. Find the number of miles traveled in 310 deliveries. 16 46. An ocean steamer burns on an average 201- tons of coal in a day. How much coal will it consume in a voyage of 7 days? Multiplying an integer by a mixed number. Analyze these problems: 1. Multiply 12 by 63; 10 by 7%. 2. 7 times 8 hours are how many hours? 3. How much do 23 pounds of candy cost at 40 cents a pound? 4. I bought 47 yards of ribbon at 40 cents a yard. How much did it cost? 5. A boy walks 3 miles in an hour. How far can he walk at the same rate in 25 hours? 6. James is 6 years old. His mother is 45 times as old. How old is she? 7. How much will 10 pounds of meat cost at 16 cents a pound? 8. A man bought 71⁄2 gallons of oil at 12¢ a gallon. How much did he pay for it? 9. When gas costs 25 cents per thousand feet, what is my bill for 10g thousand feet? 10. If a lot cost $200 and a house 65 times as much, how much did the house cost? 11. A man worked 20 days in a month for $2 a day. How much did he earn? 12. How many inches equal 94 feet? 13. At 60 cents a bushel, how much will 21 bushels of wheat cost? 14. I bought 12 dozen collars at $2 per dozen. How much did they cost? 15. At 12 cents a pound, how much will 15 pounds of raisins cost? 16. How much will 57 bu. raspberries cost at $2 a bushel? 17. If a plumber is paid 75 cents per hour, how much does he receive in 3 hours? 18. How far will an automobile travel in 21 hours if it travels 18 miles in one hour? 19. If the freight from New York to Albany on a ton of merchandise is 33 cents, how much will it be on 5 tons? 20. A gallon of water weighs 8 pounds. How much do 103 gallons weigh? Written Work 1. Multiply 12 by 181. 12 181 181 times 12 means that of 12 is to be added to 18 x 12. of 12 = 2, which added to 18 × 12 = 218. |