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1 March, 21:13

A theater sold tickets for the Saturday afternoon and evening performances of a play. Each ticket cost $32. Three times as many people bought tickets for the evening performances as for the afternoon performance. Altogether, 4,356 tickets were sold. How many tickets for the evening performance were sold?

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  1. 1 March, 23:32
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    3,267

    Step-by-step explanation:

    Fro the statement you can write the following equations:

    x+y = 4,356 (1)

    y = 3x (2)

    x = afternoon perforance

    y = evening perforance

    Then, you can replace 2 in 1 and isolate x:

    x+3x = 4,356

    4x = 4,356

    x = 4,356/4 = 1,089

    y = 3x = 3 (1,089) = 3,267

    According to this, the answer is that for the evening performance 3,267 tickets were sold.
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