### Home > A2C > Chapter 9 > Lesson 9.2.3 > Problem 9-109

9-109.

The management of the Carnival Cinema was worried about breaking even on their movie “Elvis Returns from Mars.” To break even, they had to take in $5000 on the matinee. They were selling adult tickets for $8.50 and children's tickets for $5.00. They knew they had sold a total of 685 tickets. How many of those tickets would have to have been adult tickets for them to meet their goal? Homework Help ✎

Create a system of equations and solve.

Where *a* = number of adult tickets sold and *c* = number of children's tickets sold:

8.5*a* + 5*c* = 5000*a* + *c* = 685

They would need to sell at least 450 adult tickets.