High School

You are in an elevator with a weight capacity of 1,650 pounds. There are five other people in the elevator with you. One person weighs 192 pounds, one person weighs 116 pounds, and the other two each weigh 156 pounds. Assuming that you weigh 173 pounds, how much additional weight could the elevator hold before exceeding capacity?

A. 423 pounds
B. 517 pounds
C. 673 pounds
D. 829 pounds

Answer :

Final answer:

The sum of the weights of the people in the elevator is 793 pounds. The additional weight the elevator can hold without exceeding the 1,650-pound capacity is 857 pounds, which is not listed among the provided options.

Explanation:

To determine the additional weight the elevator can hold without exceeding capacity, we need to sum the weight of all the people and subtract that from the elevator's maximum weight capacity. The sum of weights of the people in the elevator is 192 + 116 + 156 + 156 + 173 pounds. Let's calculate this first:

192 + 116 + 156 + 156 + 173 = 793 pounds. This is the total current weight in the elevator.

Next, subtract this total weight from the elevator's weight capacity to find out the maximum additional weight it can hold:

1,650 - 793 = 857 pounds.

However, there is no option for 857 pounds, so we need to review the initial weight values given for any errors.

Upon reviewing, we find that the values given in the question add up to a different total than 793 pounds, which is a likely typo. So, let's correct the calculation with the provided values:

192 + 116 + 156 + 156 + 173 = 793 pounds is indeed correct, so there seems to be a mistake in the provided options. The additional weight that the elevator can hold before exceeding capacity is therefore not found among the provided options A, B, C, or D. The correct additional weight should be 857 pounds.