Question 1048347: Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.65 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.75. How much does an average movie ticket cost in each of these countries?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! It would cost $79.65 to buy three tickets in Japan plus two tickets in Switzerland.
Three tickets in Switzerland plus two tickets in Japan would cost $75.75.
How much does an average movie ticket cost in each of these countries?
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let j = price of a ticket in Japan
let s = price in Switzerland
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Write an equation for each statement
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3j + 2s = 79.65
2j + 3s = 75.75
multiply the 1st equation by 3, multiply the 2nd equation by 2
9j + 6s = 238.95
4j + 6s = 151.50
------------------subtraction eliminates s, find j
5j + 0 = 87.45
j = 87.45/5
j = $17.49 in Japan
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Use the 1st equation to find s, replace j with 17.49
3(17.49) + 2s = 79.65
52.47 + 2s = 79.65
2s = 79.65 - 52.47
2s = 27.18
s = 27.18/2
s = $13.59 in Switzerland
:
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Check these solutions in the 2nd equation
2(17.49) + 3(13.59) = 75.75
34.98 + 40.77 = 75.75
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