math

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?

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  1. 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.

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