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23 November, 18:19

A film screening at a local film club costs $5 per ticket for members and $10 per ticket for non-members. The theater sold 300 tickets and collected $2,400.

This scenario can be represented by the system of equations {x+y=3005x+10y=2400.

What is the solution, if any, to this system of equations?

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  1. 23 November, 21:50
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    5x+10y=2400

    Let

    Y=300-x

    5x+10 (300-x) = 2400

    Solve for x

    X=120 members

    Y=300-120=180 nonmembers
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