Question

On a certain hot​ summer's day, 525 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 969.00 How many children and how many adults swam at the public pool that​ day?

Answer 1

Answer: 388

Explanation:

120 children and 388 adults bought tickets for the swimming poolExplanation:Create two simultanous equations:Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being c+a=508then, you now create a second equation for the prices of the tickets.(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected so:1.75c+2.25a=1083.00now we still know, that a=508−cso we can substitute it into the second formula1.75c+2.25(508−c)=1083now its just simple algebra1.75c+1143−2.25c=108360=0.5c so: c=120now we know, that 120 children went to the swimming pool.and we still have the formula from before:a=508−c so a=388