SOLUTION: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$77.65 to buy three tickets in Japan plus two tickets i
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Question 1126415: Average movie prices in the United States are, in general, lower than in other countries. It would cost $77.65 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.80. How much does an average movie ticket cost in each of these countries?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
3J + 2S = 77.65 multiply all times 3
2J + 3S = 73.80 multiply all times -2 and add
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
9J + 6S = 232.95
+
-4J - 6S = -147.60
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5J + 0S = 85.35
J = 17.07 this is the price of a ticket in Japan
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Using the second original equation (you can use either one), let's find the cost of a ticket in Switzerland:
2J + 3S = 73.80
2(17.07) + 3S = 73.80
34.14 + 3S = 73.80
3S = 39.66
S = 13.22 this is the cost of a ticket in Switzerland
Check:
3(17.07) + 2(13.22) = 77.80 Correct
2(17.07) + 3(13.22) = 73.80 Correct
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