Problema Solution

average movie prices in the united states are in general lower than in other countries. it would cost $79.37 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost $74.93. how much does an average movie ticket cost in each of these countries?

Answer provided by our tutors

let


j = the movie ticket cost in Japan

s = the movie ticket cost in Switzerland


it would cost $79.37 to buy three tickets in Japan plus two tickets in Switzerland


3j + 2s = 79.37


three tickets in Switzerland plus two tickets in Japan would cost $74.93


2j + 3s = 74.93


by solving the system of equations


3j + 2s = 79.37

2j + 3s = 74.93


we find


j = $17.65


s = $13.21


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the average movie ticket in Japan costs $17.65.


the average movie ticket in Switzerland costs $13.21.