### Home > CC4 > Chapter 11 > Lesson 11.2.6 > Problem 11-122

11-122.

When a family with two adults and three children bought tickets for a movie, they paid a total of $27.75. The next family in line, with two children and three adults, paid $32.25 for the same movie. Determine the adult and child ticket prices. Homework Help ✎

Define your variables, create a system of equations, and solve using elimination.

2*a* + 3*c* = 27.75

3*a* + 2*c* = 32.25

adults = 8.25