Question

there are 24 people in a fitness studio. 3/8 of the people are lifting weights, 1/3 are cross training, and the remaining people are running. What fraction of the people are running?

Answer 1

We can write the following relationship:

$\frac{3}{8}(24)+\frac{1}{3}(24)+x=24$

where x denotes the remaining people which are running.

By making the products, we get

$9+8+x=24$

which gives

$17+x=24$

By moving 17 to the right hand side, we get

$\begin{gathered} x=24-17 \\ x=7 \end{gathered}$

therefore, there are 7 people running. In fraction, the answer is 7/24.