A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults and $16 for

A theatre contains 459 seats and the ticket prices for a recent play were $53 for adults and $16 for children. If the total proceeds were $13,930 for a sold- out matinee, how many of each type of ticket were sold?

Let a be the number of adult tickets and c be the number of children tickets. We have the following equations:

1. a + c =459
2. 53a + 16c = 13930

Using our simultaneous equation calculator, we have:
a = 178
c = 281