Average movie price in the US are in general, lower than in other countries. It would cost $78.52 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus...

Average movie price in the US are in general, lower than in other countries. It would cost $78.52 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.13. How much does an average movie ticket cost in each of these countries Japan ___ and Switxerland______?

Expert Answers
justaguide eNotes educator| Certified Educator

The price of movie tickets is lower in the US compared to Japan and Switzerland.

Let the price of movie tickets in Japan be J and that in Switzerland be S. It costs $78.52 to buy three tickets in Japan plus two tickets in Switzerland.

This gives 3J + 2S = 78.52 ...(1)

Three tickets in Switzerland plus two tickets in Japan cost $75.13. This gives:

3S + 2J = 75.13 ...(2)

Solve (1) and (2) for S and J.

2*(1) - 3*(2)

=> 6J + 4S - 9S - 6J = -68.35

=> -5S = -68.35

=> S = 13.67

J = 17.06

The tickets cost $17.06 in Japan and $13.67 in Switzerland.