Question

On a certain hot​ summer's day, 613 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled $1170.75 How many children and how many adults swam at the public pool that​ day?

Answer 1

1.59C + 2.25A = 786.75

C + A = 33 (even if all were the higher paying adults, that would only be 33x2.25=74.25 far less than <<786.75)

1.59C + 1.59A = 33(1.59) = 52.47 subtract to eliminate C

(2.25-1.59)A = 786.75 -52.47 = 734.28

.66A = 734.28

A = 73428/66 = 1112.55 = about 1113 adults

C = 33-1113 = -1080 children

which makes no sense. over a thousand "negative" children? the public pool gave refunds to over a thousand prepaid children who didn't show up? but a public swimming pool, no matter how large, probably wouldn't accomodate 1113 adults.

Explanation: