Question

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $653.25. How many children and how many adults swam at the public pool that day?​

Answer 1

Children 92 and 229 Adults

Explanation:

1.5C + 2.25A = 653.25

C+A = 321

A = 321-C

Then

1.5C + 2.25(321-C) = 653.25

1.5C + 722.25 - 2.25C = 653.25

2.25C-1.5C = 722.25-653.25

0.75C = 69

C = 92

then

A = 321-92

A = 229