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    How many seats are on the Main floor and in the Balcony

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    A theater charges $8 for main floor seats and $5 for balcony seats. If all seats are sold the ticket income is $4200. At one show 25% of the main floor seats and 40% of the balcony seats were sold and ticket income was $1200 how many seats are on the main floor and how many are in the balcony?

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    https://brainmass.com/math/discrete-optimization/discrete-optimization-number-seats-example-369412

    Solution Preview

    Let there be x seats on the main floor and y seats in the balcony:

    8x + 5y = 4200 --- ...

    Solution Summary

    The number of seats on the main floor and in the balcony are calculated.

    $2.19