Problema Solution

if it would cost 79.99 to buy three tickets in japan and two tickets switerland. three tickets in switerland and two tickets in japan would cost 75.06. how much does an average ticket cost in each of these places?

Answer provided by our tutors

let


x = the average ticket cost in Japan


y = the average ticket cost in Switzerland


it would cost 79.99 to buy 3 tickets in Japan and 2 tickets Switzerland:


3x + 2y = 79.99


3 tickets in Switzerland and 2 tickets in Japan would cost 75.06:


3y + 2x = 75.06


by solving the system of equations:


3x + 2y = 79.99


3y + 2x = 75.06


we find:


x = $17.97


y = $13.04


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the average ticket cost in Japan is $17.97.


the average ticket cost in Switzerland is $13.04.