Question

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?

Answer 1

The price of movie tickets in Japan is $ 17.76

The price of movie tickets in Switzerland is $ 13.321

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 =
`(66.05)/(5)` = $ 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=
`(35.52)/(2)` = $ 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