Average movie price in the US are in general lower than in o

Average movie price in the US are in general, lower than in other countries. It would cost $79.07 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.93. How much does an average movie ticket cost in each of these countries Japan ___ and Switxerland______?

Solution

It would cost $79.07 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.93.

Let Japan ticket one ticket cost =x$

and Switzerland one ticket cost =y $

By given condition

3x+2y=79.07    (i)

2x+3y=75.93    (ii)

multiply (i) by 2 and (ii) by 3 ,

6x+4y=158.14    (iii)

6x+9y=227.79      (iv)

subtract (iv) from (iii)

-5y=-69.65

y=13.93 $

Substitute y in (i)

3x+2 (13.93)=79.07

3x=79.07-27.86

3x=51.21

x=17.07

An average movie ticket cost in each of these countries

Japan 17.07$ and Switxerland 13.93$.