Question

On a certain hot​ summer's day, 645 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $1367.25. How many children and how many adults swam at the public pool that​ day?

Answer 1

Children - 327

Adults - 318

Explanation:

You can use a matrix in a graphing calculator for this or use another systems method to determine these values.

Make the following augmented matrix:

`\left[\begin{array}{ccc}1.75&2.50&1367.25\\1&1&645\end{array}\right]`

Find the rref of this and you should get the following:

`\left[\begin{array}{ccc}1&0&327\\0&1&318\end{array}\right]`