The Smith family and the Roberts family went to a Blazer game together. The Smith family bought 3 adult tickets and 4 child tickets for a total of $135. The Roberts family bought 2 adult tickets and 5 child tickets for a total of $125. What is the price of each type of ticket (adult and child) at the game?

The Smiths: 3a + 4c = 135

The Roberts: 2a + 5c = 125

Solve for a and c
(I suggest multiplying the first by 2, and the second by 3 to get
6a for both equations, then subtract them to find c,
back-sub to get a)