Problema Solution

average movie prices in the United States are, in general, lower than other countries. It would cost $79.81 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets from Japan would cost $76.24. How much does an average ticket cost in each of these countries?

Answer provided by our tutors

Let


x = the average ticket cost in Japan, x>0


y = the average ticket cost is Switzerland, y>0


It would cost $79.81 to buy three tickets in Japan plus two tickets in Switzerland:


3x + 2y = 79.81


Three tickets in Switzerland plus two tickets from Japan would cost $76.24:


3y + 2x = 76.24


We have the following system of equations:


3x + 2y = 79.81


3y + 2x = 76.24

........


click here to see all the system of equations solution steps


........

x = $17.39


y = $13.82


Average ticket in Japan costs $17.39.


Average ticket in Switzerland costs $13.82.