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Math Help - Solving systems word problem

  1. #1
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    Solving systems word problem

    I'm having issues getting the equations for this problem.

    The longest cable suspension bridge in the world is Akashi Kaikyo Bridge in Japan. It has one long span and two short spans. Each short span is half the length of the long span. The total length of the bridge is 3560m. What is the length of each span?

    This is what I'm having issues with:
    I do not know if i should be representing the short span and long span by x and y values or if they should both be the same variable.

    if i use two variables i know that:
    x +y = 3560
    and then x + y/2 should be part of the other equation.
    i think.

    ahh
    help.
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  2. #2
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    Quote Originally Posted by t-dot View Post
    I'm having issues getting the equations for this problem.

    The longest cable suspension bridge in the world is Akashi Kaikyo Bridge in Japan. It has one long span and two short spans. Each short span is half the length of the long span. The total length of the bridge is 3560m. What is the length of each span?

    This is what I'm having issues with:
    I do not know if i should be representing the short span and long span by x and y values or if they should both be the same variable.

    if i use two variables i know that:
    x +y = 3560
    and then x + y/2 should be part of the other equation.
    i think.

    ahh
    help.
    define variables ...

    let x = length of the long span

    y = length of a short span


    The total length of the bridge is 3560m

    x+2y = 3560


    Each short span is half the length of the long span.

    y = \frac{x}{2}


    solve the system
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  3. #3
    Junior Member
    Joined
    Oct 2007
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    oh man thanks.
    these word problems are getting to me.
    big help
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