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