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29 January, 09:38

Balcony and orchestra tickets were sold for a Friday night concert last week. The balcony and orchestra tickets sold for $35 and $45, respectively. If 90 tickets were sold, and the total revenue was $3550 for the night, find the number of balcony and orchestra tickets sold.

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  1. 29 January, 09:58
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    X = balcony and y = orchestra

    x + y = 90 ... x = 90 - y

    35x + 45y = 3550

    35 (90 - y) + 45y = 3550

    3150 - 35y + 45y = 3550

    -35y + 45y = 3550 - 3150

    10y = 400

    y = 400/10

    y = 40 < = = 40 orchestra tickets

    x = 90 - y

    x = 90 - 40

    x = 50 < = = 50 balcony tickets
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