SOLUTION: A tour to Japan is twice as long as a tour to Hong Kong but half as long as a tour to Europe. If the three tours last 8 weeks, how long is the tour to Japan?

Question 563575: A tour to Japan is twice as long as a tour to Hong Kong but half as long as a tour to Europe. If the three tours last 8 weeks, how long is the tour to Japan?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
A tour to Japan is twice as long as a tour to Hong Kong but half as long as a tour to Europe. If the three tours last 8 weeks, how long is the tour to Japan?
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Let J,H,E = the time of the Japan, Hong Kong and Europe tours
Given:
J = 2H
J = E/2
J + H + E = 8
The first two equations give E/2 = 2H -> E = 4H
Substituting the values for J and E in terms of H into the 3rd equation gives:
2H + H + 4H = 8
7H = 8
H = 8/7
So the Japan tour is J = 2*H = 2*8/7 = 16/7 weeks
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