Problema Solution

average movie prices in the united states are in general lower than in other countries. It would cost $77.61 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost 73.64. How much does an average movie ticket cost in each of these countries?

Answer provided by our tutors

let


s = the cost of one ticket in Switzerland

j = the cost of one ticket in Japan


it would cost $77.61 to buy 3 tickets in Japan plus 2 tickets in Switzerland


3j + 2s = 77.61


3 tickets in Switzerland plus 2 tickets in Japan would cost 73.64


2j + 3s = 73.64


by solving the system of equations


3j + 2s = 77.61

2j + 3s = 73.64


we find


j = $17.11


s = $13.14


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the average ticket price in Japan is $17.11.

the average ticket price in Switzerland is $73.64.