Mathematics( Savvas Question)

Question

Swimming Pool On a certain hot​ summer's day, 449 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $807.25.How many children and how many adults swam at the public pool that​ day?

Answer 1

A+C= 449 multiply by 1.25

1.25C + 2.25A = 807.25

1.25C + 1.25A = 1.25(449) subtract to eliminate one variable

A =807.25 - 1.25(449) = 246 adults

C = 449-246 = 203 children

1.25(203) + 2.25(246) = 253.75 + 553.5 = 807.25