Question

Swimming Pool On a certain hot summer's day, 318 people used the public swimming pool. The daily prices are $1.75 for

children and $2.50 for adults. The receipts for admission totaled $685.50. How many children and how many adults swam at
the public pool that day?

Answer 1

146 children; 172 adults

Explanation:

We will need to create a system of equations to find the total number of children and adults who swam at the pool.

Letting C represent the total number of children and A represent the total number of adults, we can use the following equations:

`C+A=318\\1.75C+2.50A=685.50`

We use substitution to find first C then A

`A=318-C\\\\1.75C+2.50(318-C)=685.50\\1.75C+795-2.50C=685.50\\-0.75C+795=685.50\\-0.75C=-109.50\\C=146\\\\146+A=318\\A=172`