Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.16 to buy three tickets in Japan plua two Three tickets in Switzerland plus two tickets in Japan would cost $74.54, How much does an average movie ticket cast in each of these countries?
Let's assume the average movie ticket cost in the United States is x dollars.
According to the given information, the total cost of three tickets in Japan is $78.16, meaning the average ticket price in Japan is $78.16/3 = $26.05.
Similarly, the total cost of two tickets in Switzerland plus two tickets in Japan is $74.54. If we assume the average ticket price in Switzerland is y dollars, then the total cost of two tickets in Switzerland would be 2y dollars. Thus, the remaining cost (total cost - 2y) corresponds to the two tickets in Japan.
So, we have the equation: 2y + 2(26.05) = 74.54
Simplifying the equation: 2y + 52.1 = 74.54
Subtracting 52.1 from both sides of the equation: 2y = 74.54 - 52.1 = 22.44
Dividing both sides of the equation by 2: y = 22.44/2 = 11.22
Therefore, the average movie ticket price in Switzerland is $11.22.
To summarize:
- The average movie ticket price in the United States is x dollars.
- The average movie ticket price in Japan is $26.05.
- The average movie ticket price in Switzerland is $11.22.