Answered

Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.24. How much does an average movie ticket cost in each of these countries?



Answer :

The average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

How to find the average movie ticket in each city?

It would cost $79.31 to buy three tickets in Japan plus two tickets in Switzerland.

Three tickets in Switzerland plus two tickets in Japan would cost $75.24.

Therefore,

let

x = cost of Japan tickets

y = cost of Switzerland tickets

Hence,

3x + 2y = 79.31

2x + 3y = 75.24

3x + 2y = 79.31

3x + 4.5y = 112.86

2.5y = 33.55

y = 33.55 / 2.5

y = $13.42

3x + 2(13.42) = 79.31

3x = 79.31 - 26.84

3x = 52.47

x = 52.47 / 3

x = $17.49

Therefore, the average cost of tickets in Japan and Switzerland are  $17.49 and $13.42 respectively.

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