SOLUTION: Average movie ticket prices in the united states are, in general, lower than other countries. It would cost in $77.87 to buy three tickets in Japan plus two tickets in Switzerland.

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Question 262637: Average movie ticket prices in the united states are, in general, lower than other countries. It would cost in $77.87 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $73.83. How much does an average movie ticket cost in each of these countries?
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
let x = the price of each ticket in japan.
let y = the price of each ticket in switzerland.

the equations you have to work with are:

3*x + 2*y = 77.87
2*x + 3*y = 73.83

solve these equations simultaneously to get your answer.

multiply the first equation by 2 and the second equation by 3 to get:

6*x + 4*y = 155.74
6*x + 9*y = 221.49

subtract the first equation from the second equation to gert:

5*y = 65.75

divide both sides of this equation by 5 to get:

y = 13.15

substitute this value of y in the first original equation.

first original equation is:

3*x + 2*y = 77.87 which becomes:

3*x + 2*13.15 = 77.87 which becomes:

3*x + 26.30 = 77.87

subtract 26.30 from both sides of this equation to get:

3*x = 77.87 = 26.30 = 51.57

divide both sides of this equation by 3 to get:

x = 17.19

you have:

x = 17.19
y = 13.15

substitute in both original equations to see if the equations are true.

original equations are:

3*x + 2*y = 77.87
2*x + 3*y = 73.83

after substitution, they become:

3*17.19 + 2*13.15 = 77.87
2*17.19 + 3*13.15 = 73.83

which becomes:

51.57 + 26.30 = 77.87
34.38 + 39.45 = 73.83

which becomes:

77.87 = 77.87
73.83 = 73.83

confirming that the values for x and y are good.

your answer is:

price of a ticket in japan is $17.19
pride of a ticket in switzerland is $13.15