Question

In one minute, Luke can do 3 times as many push-ups as his brother. If they can do a total of 60 push-ups, how many can Luke do?

Answer 1

Let L be the number of push-ups that Luke can do, then we can set the following equation:

$L+\frac{L}{3}=60$

Solving for L we get:

$\begin{gathered} L+\frac{L}{3}=60 \\ 3L+L=180 \\ 4L=180 \\ L=\frac{180}{4}=45 \end{gathered}$

Therefore, Luke can do 45 push-ups.