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+(L)/(3)=60`

Solving for L we get:

`\begin{gathered} L+(L)/(3)=60 \\ 3L+L=180 \\ 4L=180 \\ L=(180)/(4)=45 \end{gathered}`

Therefore, Luke can do 45 push-ups.