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16 August, 10:35

A movie theater charges $5 for an adult ticket and $2 for a child ticket. If it sold 785 tickets for 3280, how many of each ticket were sold?

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  1. 16 August, 11:18
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    5x + 2y = 3280

    x+y = 785

    x = 785 - y

    5 * (785 - y) + 2y = 3280

    3925 - 5y + 2y = 3280

    3925 - 3280 - 3y = 0

    645 = 3y

    y=645/3=215

    x=785-215 = 570

    Adults - 570 tickets, childs - 215 tickets.

    570*5 + 215*2 = 3280
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