A movie theatre sells two types of tickets: adult and child. On Tuesday, the theatre sold 100 adult tickets and 70 child tickets and made a total of $1,100. On Wednesday, the theatre sold 50 adult tickets and 50 child tickets and made a total of $625. How much is an adult movie theatre ticket?

1 answer

100A + 70C = 1100

50A + 50C = 625

Divide first equation by 2.

50A + 35C = 550

Subtract that from the second equation.

15C = 75

Solve for C, then insert into any of above equations to find A.