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Math Help - Algebraic word problem

  1. #1
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    Algebraic word problem

    Okay so I know forums are generally really good at flaming and spamming people who post things in the wrong forum or break code etc but I'm kinda in a hurry so I'm sorry in advance if I posted this in the wrong place. All I need is someone could help me figure out what the correct equation for this word problem is so I can solve it. Also if you could explain why that is the equation it would help alot more.

    "Adults' tickets to a play cost $5, and students' tickets cost $2. If 295 tickets were sold and the total receipts were $950, how many students tickets were sold?"
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  2. #2
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    Let x denote the number of adult tickets sold, y denote the number of student tickets sold.

    Therefore, x + y = 295

    The total receipts is $950, and since adult tickets are sold for $5 and student tickets are sold for $2:

    5x + 2y = 950

    Solve both equations simultaneously to find x and y.

    Okay so I know forums are generally really good at flaming and spamming people who post things in the wrong forum or break code
    Flaming and spamming are against the Forum Rules.
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  3. #3
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    Quote Originally Posted by Chop Suey View Post
    Solve both equations simultaneously to find x and y.
    I'm not sure I know what you mean by that...

    Quote Originally Posted by Chop Suey View Post
    Flaming and spamming are against the Forum Rules.
    Good to hear.

    Thanks for your help!
    Last edited by SkateBaker; September 22nd 2008 at 07:13 AM. Reason: spelled your wrong XD
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  4. #4
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     5y +2x = 950

     x + y = 295

    using subsitution,

    first make x the subject for the second formula so you have  x = 295-y .

    subsitute this in for x into your first equation, which gives  5y + 2(295-y) = 950

    than just expand, simplify and solve for y
     5y + 590 -2y= 950

     3y + 590= 950

     3y = 360

     y = 120

    now you know what y equals you can find the value of x by substitutin the value of y into any of your equations,

     x + 120 = 295

     x = 175
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  5. #5
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    Quote Originally Posted by SkateBaker View Post
    I'm not sure I know what you mean by that...



    Good to hear.

    Thanks for your help!
    y = 295 - x

    Now replace in the second equation.
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  6. #6
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    Alrighty. All cleared up. Thanks alot guys!
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