Algebra-1

Let's assume the price of an adult ticket is "A" and the price of a child ticket is "C".

According to the given information, on the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. We can write this as an equation:

7A + 11C = 227   ---(1)

On the second night, they took in $150 by selling 6 adult tickets and 6 child tickets. We can write this as another equation:

6A + 6C = 150   ---(2)

Now we have a system of two equations with two variables. We can solve this system to find the values of A and C.

Multiplying equation (2) by 2, we get:

12A + 12C = 300   ---(3)

Subtractin...