Question

1 8. An elevator at a warehouse can carry up to 180 kilograms of weight. An employee using the elevator is carrying two cases that have weights of 11.6 kilograms and 45.8 kilograms. The employee weighs 62.3 kilograms. The employee has room for one more case in the elevator. Which weight could represent the third case that the employee could carry without going over the maximum weight allowed in the elevator? F. 59.7 kilograms G. 119.7 kilograms H. 180 kilograms 60.7 kilograms

Answer 1

Given all the weights and the total capacity of the elevator, we have the following expression:

$11.6+45.8+62.3+x\leq180$

where 'x' denotes the weight of the third case.

Solving for x, we get the following:

$\begin{gathered} 11.6+45.8+62.3+x\leq180 \\ \Rightarrow119.7+x\leq180 \\ \Rightarrow x\leq180-119.7=60.3 \\ x\leq60.3 \end{gathered}$

therefore, the third case must weigh 60.3 kg or less.