Question

Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$78.58 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$74.82. How much does an average movie ticket cost in each of these​ countries?

Answer 1

Answer: The cost of movie tickets in Japan is $17.22, while the cost of movie tickets in Switzerland is $13.46.

Explanation: let x be the cost of tickets in Japan, and y be the cost in Switzerland. We have:

3x + 2y = 78.58 --------- (equation 1)

2x + 3y = 74.82 --------- (equation 2)

We will be using elimination method, we will multiply the first equation by -2, and the second equation by 3, we will get:

-6x - 4y = -157.16

6x + 9y = 224.46

Now we will add both equations, and get:

5y = 67.3

y = 13.46

To get x, substitute the value of y into equation 1 above:

3x + 2y = 78.58

3x + 2(13.46) = 78.58

3x + 26.92 = 78.58

3x = 78.58 - 26.92

3x = 51.66

x = 51.66/3

x = 17.22.

Therefore, the cost of movie tickets in Japan is $17.22, and the cost of movie tickets in Switzerland is $13.46