Math problem

Question

a theatre contains 441 seats and the ticket prices for a recent play were 45 dollars for adults and 18 dollars for children. If the total proceeds were 12204 dollars for a sold out matinee how many of each type of ticket were sold

Answer 1

Let x = the number of adult tickets sold

Let y = the number of children's tickets sold

x + y = 441    y = 441 - x

45x + 18y = 12204

45x + 18(441 - x) = 12204

45x + 7938 - 18x = 12204

27x = 4266

x = 158

y = 441 - 158 = 283