A school receives a shipment of books. There are 60 cartons, and each carton weighs 42 pounds. The school's elevator can hold 2,200 pounds.
What is the greatest number of cartons that can be carried on the elevator at one time if no people ride with them?
Answer (3)
2200 divided by 42 = 52. therefore 52 maximum number, with 8 in second load
The elevator can carry a maximum of 52 whole cartons at once without exceeding its weight limit of 2200 pounds.
The question involves calculating the maximum number of cartons that can be carried by an elevator based on its weight capacity and the weight of individual cartons.
To find the greatest number of cartons that the elevator can carry at one time, we need to divide the elevator's maximum weight capacity by the weight of one carton.
Elevator's maximum capacity: 2200 pounds
Weight of one carton: 42 pounds
The greatest number of cartons that can be carried at once is calculated as follows:
2200 pounds / 42 pounds/carton = 52.38 cartons
Since we cannot split a carton, the elevator can only carry whole cartons. Therefore, the greatest number of whole cartons that can be carried is 52, as the elevator cannot safely transport the additional 0.38 part of a carton without exceeding its maximum capacity.
The maximum number of cartons that can be carried in the elevator is 52. This is because each carton weighs 42 pounds, and the elevator has a weight limit of 2,200 pounds. Loading 52 cartons results in a total weight of 2,184 pounds, which is within the elevator's capacity.
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