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Math Help - [SOLVED] Word Problem - Solve by Substitution

  1. #1
    kelkor
    Guest

    [SOLVED] Word Problem - Solve by Substitution

    Please help... Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as student tickets were sold, then how many of each were sold.

    I'm having problems setting up equation. Thanks.
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  2. #2
    Site Founder Math Help's Avatar
    Joined
    Apr 2005
    Posts
    171
    Here is how to set up the equations:

    x = number of adult tickets sold
    y = number of student tickets sold

    3x + 2y = 824
    x = 2y

    now you can substitute eq2 into eq1

    3(2y) + 2y = 824
    8y = 824
    y = 103 tickets
    and therefore
    x = 206 tickets
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