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

The answer is going to me 7/24.

Answer 2

We can write the following relationship:

`(3)/(8)(24)+(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.