A theater charges $9 for each adult ticket and $6 for each child ticket. The theater sold 144 tickets . The total money was 1164.

Question

How would I be able to solve this problem algebraically because it is a very complicated problem

Answer 1

Let x = the number of adult tickets sold

Let y = the number of child tickets sold

x + y = 144        y = 144 - x

9x + 6y = 1164

9x + 6(144 - x) = 1164

9x + 864 - 6x = 1164

3x = 300

x = 100

y = 144 - x = 144 - 100 = 44