Question

On a certain hot​ summer's day, 310 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $581.75 How many children and how many adults swam at the public pool that​ day?

Answer 1

Children: 51

Adults: 259

Explanation:

Children = c Adults = a

$1.25 c + $2.00 a = $581.75

$1.25 c + $2.00 (310 - c) = $581.75

Multiply: $2.00 * 310 to get $620

Multiply: $2.00 * - c to get - $2.00 c

$1.25 c + $620 - $2.00 c = $581.75

Subtract both sides by $620

-$0.75 c = -$38.25

Divide both sides by -0.75

c = 51

We now know there are 51 children.

Overall, there are 310 people so we subtract:

310 - 51 = 259

This means:

a = 259

To check our answer:

51 * 1.25 = 63.75

259 * 2.00 = 518

518 + 63.75 = $581.75