algebra word problem

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Not exactly sure how to solve this.

2000 tickets were sold for a play generating $19,700. The price for tickets $5 for children, $10.00 for students and $12.00 for adults. There were 100 more adult tickets sold than students. Find the number of each type of ticket sold.

Thanks for your help.

  • algebra word problem -

    X Students sold.
    X+100 Adult tickets sold.
    2000-(x+x+100) = 1900-2x Children tickets sold.

    10x + 12(x+100) + 5(1900-2x) = $19,700.
    10x + 12x+1200 + 9500-10x = 19700
    12x = 19700-10700 = 9000

    X = 750
    X+100 = 850
    1900-2x = 400.

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