Question

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.93 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.87. How much does an average movie ticket cost in each of these​ countries?
In Japan the average cost is ​$

In Switzerland the average cost is ​$

Answer 1

Answer:

Step-by-step explanation:

x=ticket cost in Japan

y=ticket cost in Switzerland

3x+2y=79.93

2x+3y=75.87

2/3(2x+3y=75.87)  --> 4/3x+2y=50.58

3x+2y=79.93

-

4/3x+2y=50.58

----------------------------

5/3x=29.35

3/5(5/3x=29.35) --> x = 17.61

plug x back in to find y:

3(17.61)+2y=79.93 --> 52.83+2y=79.93

2y=27.1

1/2(2y=27.1) --> y=13.55

x = 17.61

y=13.55

This means:

In Japan the average cost is ​$17.61

In Switzerland the average cost is ​$13.55