Question

On a certain hot​ summer's day, 427 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled $690.75. How many children and how many adults swam at the public pool that​ day?

Answer 1

1.50c + 2.25a = 690.75

c + a = 427

1.50c + 2.25(427 - c) = 690.75

960.75 - .75c = 690.75

.75c = 270

c = 360 children, a = 67 adults