Average movie prices in the unites States are, in general, lower than in other countries. it would cost $77.94 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.86. How much does an average movie ticket cost in each countires?Japan average:Switzerland average:

If "J" is the average price in Japan and "S" is the average price is "S", then since we are told that three tickets in Japan plus two tickets in Switzerland cost $77.94 we have the following relationship:

We are also told that three tickets in Switzerland plus two tickets in Japan would cost $73.86. This gives us the following equation:

We get two equations with two variables. To solve this system we will multiply equation (1) by -2:

Now we multiply equation (2) by 3:

Now we will add equation (3) and equation (4):

Now we add like terms;

Dividing both sides by 5:

Now we replace the value of S in equation (1):

Solving the operation:

Subtracting 26.28 to both sides:

Dividing both sides by 3:

Therefore, the average in Japan is $17.22 and the average in Switzerland is $13.14.

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