SOLUTION: A rock group plans three concert tours over a period of 38 weeks. The tour in Britain will be 4 weeks longer than the tour in France and the tour in Germany will be 2 weeks shorter

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Question 826990: A rock group plans three concert tours over a period of 38 weeks. The tour in Britain will be 4 weeks longer than the tour in France and the tour in Germany will be 2 weeks shorter than the tour in France. How many weeks will they be in France?
Answer by stanbon(75887) About Me  (Show Source):
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A rock group plans three concert tours over a period of 38 weeks. The tour in Britain will be 4 weeks longer than the tour in France and the tour in Germany will be 2 weeks shorter than the tour in France. How many weeks will they be in France?
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Equations:
b = f + 4
g = f-2
b + f + g = 18
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Substitute for "b" and for "g" and solve for "f":
f+4 + f + f-2 = 18
3f + 2 = 18
3f = 16
f = 5 1/3 weeks (France)
b = f+4 = 9 1/3 weeks (Britain)
g = f-2 = 3 1/3 weeks (Germany)
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Cheers,
Stan H.
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