Algebra-1

Let's solve the problem by setting up a system of equations.

Let:
a be the price of an adult ticket
c be the price of a child ticket

We know:
1. On the first night, 7 adult tickets and 11 child tickets were sold for $227:

7a + 11c = 227

2. On the second night, 6 adult tickets and 6 child tickets were sold for $150:

6a + 6c = 150

Step 1: Simplify the second equation by dividing everything by 6:

a + c = 25

Step 2: Now we have the system of equations:

7a...