Average movie prices int he United states are, in general, lower than in other countries. It would cost $79.663 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Swizterland plus two tickets in Japan would cost $75.57. How much does an average movie ticket cost in each of these countries?
Let J represent the number of tickets in Japan.
Let S represent the number of tickets in Switzerland.
I'm going to modify the $79.663 to $79.63:
3J + 2S = 79.63 ---> 3J + 2S = 79.63 (multiply by 2) ---> 6J + 4S = 159.26
3S + 2J = 75.57 ---> 2J + 3S = 75.57 (multiply by -3) --> -6J - 9S = -226.71
Add down the columns: -5S = -67.45
S = $13.49
When S = 13.49 ---> 3J + 2(13.49) = 79.63 ---> 3J + 26.98 = 79.63 ---> J = $17.55
Let J represent the number of tickets in Japan.
Let S represent the number of tickets in Switzerland.
I'm going to modify the $79.663 to $79.63:
3J + 2S = 79.63 ---> 3J + 2S = 79.63 (multiply by 2) ---> 6J + 4S = 159.26
3S + 2J = 75.57 ---> 2J + 3S = 75.57 (multiply by -3) --> -6J - 9S = -226.71
Add down the columns: -5S = -67.45
S = $13.49
When S = 13.49 ---> 3J + 2(13.49) = 79.63 ---> 3J + 26.98 = 79.63 ---> J = $17.55