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Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.70 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.15. How much does an average movie ticket cost in each of these​ countries?

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Answer:

The price of movie tickets in Japan is $ 17.76  

The price of movie tickets in Switzerland is $ 13.321

Step-by-step explanation:

Given in question as :

Let The ticket amount in Japan = J

And The ticket amount in Switzerland = S

According to question

3 J + 2 S = $ 79.70        And

2 J + 3 S = $ 75.15

So ,  6 J + 4 S = $ 159.4              ...... 1

       6 J + 9 S = $ 225.45           ...... 2

Now, from eq 1 and 2

( 6 J + 9 S ) - ( 6 J + 4 S ) =  $ 225.45 - $ 159.4    

Or, 5 S = 66.05

∴       S = [tex]\frac{66.05}{5}[/tex] = $ 13.21

And The value of J is

    2 J + 3 × ( 13.21 ) = $ 75.15

    2 J =  $ 75.15 - $ 39.63

    2 J = $ 35.52

∴      J=  [tex]\frac{35.52}{2}[/tex] = $ 17.76

Hence The price of movie tickets in Japan is $ 17.76  

And     The price of movie tickets in Switzerland is $ 13.321     Answer    

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