Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.29 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.26 . 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 $
Let's assume the average ticket cost in Japan is $x and the average ticket cost in Switzerland is $y.
According to the given information, 3x + 2y = $80.29 and 3y + 2x = $76.26.
To solve this system of equations, we can use the method of substitution:
From the first equation: 2y = $80.29 - 3x --> equation (1)
From the second equation: 3y = $76.26 - 2x --> equation (2)
Now, we can substitute equation (1) into equation (2):
3($80.29 - 3x) = $76.26 - 2x
$240.87 - 9x = $76.26 - 2x
-7x = $76.26 - $240.87
-7x = -$164.61
x = -$164.61 / -7
x ≈ $23.51
Now, we can substitute the value of x back into equation (1) to find the value of y:
2y = $80.29 - 3($23.51)
2y = $80.29 - $70.53
2y ≈ $9.76
y ≈ $4.88
Therefore, the average movie ticket cost in Japan is approximately $23.51 and in Switzerland is approximately $4.88.