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Math Help - define your variable and solve

  1. #1
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    define your variable and solve

    A rock group plans three concert tours over a period of 38 weeks. The tour in Britian will be 4 weeks longer than in the tour in france and the tour in Germany will be 2 weeks shorter the tour in France. How many weeks will they be in France?
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  2. #2
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    Re: define your variable and solve

    Quote Originally Posted by e11588 View Post
    A rock group plans three concert tours over a period of 38 weeks. The tour in Britian will be 4 weeks longer than in the tour in france and the tour in Germany will be 2 weeks shorter the tour in France. How many weeks will they be in France?
    Let's denote :

    x - number of weeks in Britain

    y - number of weeks in Germany

    z - number of weeks in France

    Assuming that time isn't relative one can formulate following system of equations :

    \begin{cases}x+y+z=38 \\x=4+z \\y=z-2\end{cases}
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