Question

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.38 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.12 How much does an average movie ticket cost in each of these​ countries?

Answer 1

3j + 2s = 79.38
3s + 2j = 75.12. 3s + 2j - 3s = -3s + 75.12. 2j/2 = -3/2s + 75.12/2.
j = -1.5s + 37.56
Then you can use substitution
3(-1.5s + 37.56) + 2s = 79.38
-4.5s + 112.68 + 2s = 79.38
-2.5s + 112.68 - 112.68 = 79.38 - 112.68
-2.5s = -33.30
-2.5s/-2.5 = -33.30/-2.5
s = 13.32
So s is 13.32 so you plug that back in and solve for j
3j + 26.64 = 79.38
3j + 26.64 - 26.64 = 79.38 - 26.64
3j = 52.74
3j/3 = 52.74/3
j = 17.58
So in Japan tickets average 17.58 and in Switzerland they average 13.32