Question

On a certain hot summers day 339 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admissions totaled $750.50. How many children and how many adults swam at the public pool that day?

Answer 1

the number of children = 156

the number of adults = 183

Explanation:

let x be the number of children

y be the number of adults

We have to solve this system:

`\begin{cases}x+y=339&\\ 1.75x + 2.50y = 730.50&\end{cases}`

`\Longleftrightarrow \begin{cases}y=339-x&\\ 1.75x + 2.50(339-x) = 730.50&\end{cases}`

`\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x + 847.5 = 730.50&\end{cases}`

`\Longleftrightarrow \begin{cases}y=339-x&\\ -0.75x =-117&\end{cases}`

`\Longleftrightarrow \begin{cases}y=339-156=183&\\ x =156&\end{cases}`