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a 6,000 seat theater has tickets for sale at $26 and $40 . How many tickets must be sold at each price for a sell out performance to generate a revenue of $178400?

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  1. work with seats:
    If there are n seats at $26, then there are 6000-n seats at $40, if the place is sold out.

    work with the money -- add up how much money is made for each ticket price.

    26n + 40(6000-n) = 178400
    26n + 240000 - 40n = 178400
    14n = 61600
    n = 4400

    So, there were 4400 $26 seats and 1600 $40 seats

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