The weight limit for an elevator is 1500 kilograms. The average weight of the people in the elevator is 80 kilograms. If the combined weight of the people is 100 kilograms over the limit, how many people are in the elevator?
(A) 14
(B) 17
(C) 16
(D) 20
(E) 13
The weight limit for an elevator is 1500 kilograms. The average weight of the people in the elevator is 80 kilograms. If the combined weight of the people is 100 kilograms over the limit, how many people are in the elevator?
(A) 14
(B) 17
(C) 16
(D) 20
(E) 13

## Solution

The combined weight of the people on the elevator is 100 kilograms over the limit which implies that their total weight is 1600 kilograms.

If the average weight is 80 kilograms there must be $\frac{1600}{80}$ or 20 people on the elevator.

ANSWER: (D)