Question

Help An elevator can carry 39adults or 40 children at one time. During the course of a day, the elevator carries a full passenger load 53times. If all the passengers were children, how many more people would the elevator carry than if all the passengers were adults?

Answer 1

Solution:

Given:

$\begin{gathered} An\text{ elevator can carry 39 adults at a time} \\ \\ OR \\ \\ It\text{ can also carry 40 children at a time} \end{gathered}$

In a day, it carries a full passenger load 53 times.

If all passengers were children, then the elevator carried a total of;

$53\times40=2120c\text{hildren}$

If all passengers were adults, then the elevator carried a total of;

$53\times39=2067\text{ adults}$

Hence, to get how many more people the elevator will carry than if all passengers were adults, we get the difference in the two.

$\begin{gathered} \text{Thus,} \\ \\ 2120-2067=53 \end{gathered}$

Therefore, the elevator will carry 53 more people than if all the passengers were adults.