The Hansen family bought 2 child and 2 adult movie tickets and paid $36.50. The Owens family bought 5 child and 2 adult tickets and paid $60.50. How much does a child movie ticket cost?

Set up a two-variable equation x is child tickets and y is adult.- 2x+2y=36.5 and 5x+2y=60.5 Then do equation 1 minus equation 2. You get -3x=-24 x = 8

Then plug it in to the equation 5(8)+2y=60.5 40+2y=60.5 2y=20.5 y=10.25

For the answer, it is 8.

Hope this helps :D