Swimming Pool On a certain hot summer's day, 508 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.25 for adults. The receipts for admission totaled $ 1083.00. How many children and how many adults swam?
1 Answer
120 children and 388 adults bought tickets for the swimming pool
Explanation:
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
then, 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:
now we still know, that
so we can substitute it into the second formula
now its just simple algebra
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
