Problema Solution

Aveage movie prices in the united states are, in general lower than in other countries. It wouldncost $79.11 to buy three tickets in japan plus twoctickets in switzerland. Three tickets in switzerland plusbtwoctickets in japan coast $75.39. Howbmuch does and average movie ticket cost in each of these countries?

Answer provided by our tutors

let


x = the average ticket cost in Japan


y = the average ticket cost in Switzerland


It would cost $79.11 to buy three tickets in Japan plus two tickets in Switzerland:


3x + 2y = 79.11


Three tickets in Switzerland plus two tickets in Japan coast $75.39:


3y + 2x = 75.39


2x + 3y = 75.39


by solving the system of equations:


3x + 2y = 79.11


2x + 3y = 75.39


we find:


x = $17.31


y = $13.59


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the average movie ticket is Japan costs $17.31.


the average movie ticket in Switzerland costs $13.59.