Question

Average movie prices in the United States, in general, lower than in other countries. It would cost $77.45 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost would cost $73.65. How much does an average movie ticket cost in each of these countries?

Answer 1

17.01, 13.21

Explanation:

j = Japan, s = Switzerland

Make the 2 equations

3j + 2s = 77.45 2j + 3s = 73.65

Multiply the first equation by 2 and the second by 3 so the x values are the same

6j + 4s = 154.90 6j + 9s = 220.95

Now subtract the 2 equations:

6j + 9s = 220.95

- 6j + 4s = 154.90

5s = 66.05

s = 13.21 Price of tickets in Switzerland

Now replace s with 13.21 into one of the equations

3j + 2(13.21) = 77.45

3j + 26.42 = 77.45

3j = 51.03

j = 17.01 Price of tickets in Japan