Question

On a certain hot​ summer's day, 438 people used the public swimming pool. The daily prices are 1.75 for children and 2.50 for adults. The receipts for admission totaled 1013.25 How many children and how many adults swam at the public pool that​ day?

Answer 1

Children 109

Adults 329

Explanation:

Let a = adults

Let c = children

a + c = 438 or a= 438 - c

2.50a + 1.75c = 1013.25 Substitute in 438 - c for a

2.50(438 - c) + 1.75c = 1013.25 Distribute the 2.50

1095 - 2.50c + 1.75c = 1013.25 Combine like terms

1095 - .75c = 1013.25 Subtract 1095 from both sides

-.75 = -81.75 Divide both sides by -.75

c = 109 There are 109 children

Plug this back into a = 438 - c to find the number of adults

a = 438 - 109

a = 329 There are 329 adults.