SOLUTION: It would cost 79.86 to buy 3 tickets in Japan and 2 tickets in switzerland. Three tickets in Switzerland and 2 tickets in Japan would cost 75.94. What is the cost of a ticket in ea

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: It would cost 79.86 to buy 3 tickets in Japan and 2 tickets in switzerland. Three tickets in Switzerland and 2 tickets in Japan would cost 75.94. What is the cost of a ticket in ea      Log On


   

Question 689134: It would cost 79.86 to buy 3 tickets in Japan and 2 tickets in switzerland. Three tickets in Switzerland and 2 tickets in Japan would cost 75.94. What is the cost of a ticket in each country?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
It would cost 79.86 to buy 3 tickets in Japan and 2 tickets in switzerland. Three tickets in Switzerland and 2 tickets in Japan would cost 75.94. What is the cost of a ticket in each country?
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Equation:
3j + 2s = 79.86
2j + 3s = 75.94
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Multiply thru the top equation by 2
Multiply thru the bottom equation by 3
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6j + 4s = 2*79.96
6j + 9s = 3*75.94
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Subtract and solve for "s":
5s = 67.9
s = $13.58 (ticket price to switzerland)
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Solve for "j" using 3j + 2s = 79.86
3j + 27.16 = 79.86
3j = 52.70
j = $17.54 (ticket price to japan)
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Cheers,
Stan H.
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