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Math

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Central middle school sold 50 tickets for one night at the school play. Student tickets sold for 2$ each and adult tickets sold for 3$ each. They took in 135$. How many of each type of ticket did they sell?

  • Math - ,

    X = Student tickets sold.
    Y = Adult tickets sold.

    Eq1: x + y = 50 Tickets.
    Eq2: 2x + 3y = $135.
    Multiply Eq1 by -2 and add the Eqs:
    -2x - 2y = -100
    2x + 3y = 135
    Sum: Y = 35

    In Eq1, replace Y with 35:
    x + 35 = 50
    X = 15

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