A freight elevator can carry a maximum load of 1200 pounds. Sean, who weighs 200

游客2024-01-14 66

问题 A freight elevator can carry a maximum load of 1200 pounds. Sean, who weighs 200 pounds, is in the elevator with two packages weighing 150 pounds and 280 pounds. If he needs to fit three more packages in the elevator that weigh as much as possible without exceeding the elevator limit, what is the difference between their average and the average of the two packages already in the elevator?

选项 A、25
B、85
C、190
D、215
E、210

答案 A

解析 Scan and the two packages in the elevator weigh 630 pounds together, so the three packages Scan wants to put into the elevator must weigh a maximum of 1,200-630, or 570. If we divide that by 3, we get the average weight of each package, 190. The two packages already in the elevator weigh a total of 430 together, so their average weight is 215. Subtract 190 from 215 and we get the difference in the averages, or 25.

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