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?

Question

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WaywardDelaney WaywardDelaney · Answer 1 · 2019-11-17T17:44:01+01:00

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