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Yesterday, 19:55

The manager of a theater wants to know whether the majority of its patrons were adults or children. one day 5100 tickets were sold in the receipts totaled 34,599. The adult admission is $8.50 and the children's admission is $5.50. How many adult patrons were there?

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  1. Yesterday, 20:53
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    Adults 2183

    Children 2917

    Step-by-step explanation:

    Let adult tickets be x and children's ticket be y

    Using the total sold tickets then

    X+y=5100

    Making x the subject tjen X=5100-y

    Using the amount collected then

    8.5x + 5.5y=34599

    8.5 (5100-y) + 5.5y=34599

    43350-8.5y+5.5y=34599

    3y=8751

    y=2917

    X=5100-y=5100-2917=2183

    x=2183

    Therefore, adults were 2183 and children 2917
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