Question

On a certain hot​ summer's day, 586 people used the public swimming pool. The daily prices are for children$1.75 and $2.00 for adults. The receipts for admission totaled $1,078.75 How many children and how many adults swam at the public pool that​ day?

Answer 1

Answer: 373 children and 213 adults

Explanation:

Children can be represented by x and adults can be represented by y.

x+y=586

1.75x+2y= $1078.75

x=586-y <-- substitute into 1.75x+2y=1078.75.

1.75(586-y) +2y=1078.75

1025.5 - 1.75y+2y =1078.75

0.25y = 53.25

y=213 adults

x + 213 = 586

x= 373 children

Check:

1.75(373) +2(213)=1078.75

1078.75=1078.75