Question

2.) LaSalle Peru Township High School is selling tickets to a football fundraiser dinner. On the first day of

ticket sales LP sold 4 adult tickets and 2 child tickets for a total of $52. LP took in $132 on the second day by
selling 12 adult tickets and 4 child tickets. What is the price each of one adult ticket and one child ticket?

Answer 1

a = 7 and c = 12

Explanation:

Set up 2 equations and use substitution:

4a + 2c = 52

12a + 4c = 132

In the first equation, c = 26 - 2a

We can plug that into the second equation to solve for a.

12a + 4(26 - 2a) = 132

a = 7

Plug a back in to either original equation to solve for c:

4(7) + 2c = 52

c = 12