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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- Apr 24th 2012, 01:01 PMe11588define 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?

- Apr 24th 2012, 09:11 PMprincepsRe: define your variable and solve
Let's denote :

$\displaystyle x$ - number of weeks in Britain

$\displaystyle y$ - number of weeks in Germany

$\displaystyle z$ - number of weeks in France

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

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