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A cargo airpolane has a maximum takeoff ...

A cargo airpolane has a maximum takeoff weight of 19,000 kilograms. The airplane, crew, and fuel have a combined weight of `14,750` kilogrms. The airpolne will be loaded with n identical cargo containers, each of which has a weight of 125 kilograms. What is the greatest value of n such that the airplane does not exceed its maximum takeoff weight ?

A

28

B

34

C

118

D

152

Text Solution

Verified by Experts

The correct Answer is:
B
You're given the weight of every ting on the airplane except the combined weitht of the cargo containers and you're given the maximum takeoff weith of the plane. Therefore, the difference between the maximum takeoff weight and the weight of the plane, crew, and fuel must be the maximum combined weith of the cargo containers.
You're also told that n represents the numbers of cargo containers that will be loaded on the plane and that each container weight 125 kilograms. You need to find the number of containers, n, that make up the difference in weights.
The maximum takeoff weight of the plane is 19,000 kilograms and the weight of the plane, creq, and fuel is 14,750 kilograms. Hence, the maximum number of cargo containers can have a combined weight no greater than `10,000-14,750=4,250` kilograms. That means that the maximum number of containers, n must be 4,250 kilograms `div125` kilograms =34 containers. Thus, (B) is correct.
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