Question

average movie prices in the United states are in general, lower than in other countries. It would cost $78.60 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $74.45 How much does an average movie ticket cost in each of these countries?

Answer 1

let cost of one ticket in Japan = x $
let cost of one ticket in Switzerland = y $
then
3x + 2y = 78.60 -------------(1)
2x + 3y = 74.45 -------------(2)

Multiply (1) by 2 and (2) by -3 and then add the resulting equations

6x + 4y = 157.20
-6x - 9y = -223.35
------------------
- 5y = -66.15
y = -66.15/-5
y = 13.23

substitute y = 13.23 in (1)

3x + 2(13.23) = 78.60
3x = 78.60 - 26.46
x = 52.14/3
x = 17.38

Answer 2

so cost of one ticket in Japan = x $ = $ 17.38
and cost of one ticket in Switzerland = y $ = $ 13.23