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19 August, 04:18

Pdcms sold a total of 110 tickets for the school play. an adult ticket is $7 and a student ticket is$4. the school collected a total of $569 how many adults and how many students attended the play

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  1. 19 August, 05:24
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    Let the number of adult tickets be x.

    Since there are 110 tickets sold in all, student tickets will be 110 - x.

    Cost for adult tickets = 7*x = 7x

    Cost for student tickets = 4 * (110 - x) = 4*110 - 4*x = 440 - 4x

    Total cost = $569

    7x + (440 - 4x) = 569

    7x + 440 - 4x = 569

    7x - 4x = 569 - 440

    3x = 129

    x = 129/3

    x = 43

    Recall x is the number of adults tickets = 43

    Student tickets = (110 - x) = 110 - 43 = 67

    Therefore from the number of tickets sold it is safe to assume that 43 adults and 67 students attended the play.
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