Question

On a certain hot​ summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.

How many children and how many adults swam at the public pool that​ day?

Answer 1

We call x the number of children and y the number of adults

We have system of equations

x + y = 218 (1)

1.25x + 2y = 349.75 (2)

(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75

=> y = 103 replace y in (1) x = 218-103 = 115

Children and how many adults swam at the public pool that​ day is : 115 and 103

Explanation: