Problema Solution

The Myers Center Auditorium in Gastonia contains 500 seats. Tickets prices for a recent play were $50 for adults and $25 for children. If the proceeds totaled $19250, how many adults and how many children were there?

Answer provided by our tutors

Adult: x

Children: y

So the equation is

x + y = 500

50x + 25y = 19250

We solve it

x = 270

y = 230

So

Adult: 270

Children: 230