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13 March, 04:15

The drama club sold a total of 360 adult and student tickets for the school play. Charging $5 for each adult ticket and $3 for each student ticket, they collected $1,360 from ticket sales. How many student tickets did the drama club sell?

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  1. 13 March, 04:45
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    220

    Explanation:

    Let us assume the adult ticket be X

    And, the student ticket be Y

    So, the first equation is

    X + Y = 360

    So, Y = 360 - X

    Now the second equation is

    5X + 3Y = $1,360

    Now put the Y value to the above equation

    5X + 3 * (360 - X) = $1,360

    5X + 1,080 - 3X = $1,360

    2X = $1,360 - $1,080

    2X = $280

    X = 140

    Now the X + Y = 360

    So, Y equal to

    = 360 - 140

    = 220
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