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There were 654 tickets sold for a basketball game. The activity cardholders' tickets cost 1.5 and the non-cardholders' tickets cost 2.00. the total amount of money collected was 1171.50. how many of each kind of tickets were sold.

  • math -

    x = activity cardholders
    y = non-cardhoolders

    x + y = 654 tickets
    1.50x + 2.00y = 1171.50

    x = 654 - y

    1.50(654-y) + 2.00y = 1171.50
    981 - 1.50y + 2.00y = 1171.50
    981 + .50y = 1171.50
    .50y = 190.5
    y = 381

    x + 381 = 654
    x = 273

    273 activity cardholders
    381 non-cardholders

    273(1.50) + 381(2.00) = 1171.50
    409.50 + 762 = 1171.50
    1171.5 = 1171.50

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