218 people used a pool. The prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $377.25 How many children and how many adults swam at the public pool that​ day?

Question

Please help

Answer 1

This is a System of Equations problem (many other examples are available on Wyzant Ask an Expert archives).

Equation for number of people: C + A = 218

Equation for receipts: 1.50C + 2.25A = 377.25 (Note: could avoid decimals if do every thing in pennies)

Using substitution method: A = 218 - C

1.50C + 2.25(218 - C) = 377.25

1.50C + 490.50 - 2.25C = 377.25

-0.75C = -113.25

C = 151 Children

A = 218 - 151 = 67 Adults

Check: 1.50(151) + 2.25(67) = 226.50 + 150.75 = 377.25