Make a system of equation
A = adult, C = child
Total tickets = 180
Total cost = $1740
A + C = 180
11A + 6C = 1740
Use any method
I will use elimination
(A + C = 180) * 6
6A + 6C = 1080
11A + 6C = 1740
Subtract both sides
-5A = -660, A = 132
Solution: 132 adult tickets