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Average movie prices in the United States are, in general, lower than in other countries. It would cost $80.50 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $76.85. How much does an average movie ticket cost in each of these countries?

Answer :

Answer:

Japan - $21.95

Switzerland - $7.33

Step-by-step explanation:

Let the cost of movies in Japan be x and the cost of movies in Switzerland be y. We can write two equations that relate x to y. If we have two equations and two unknowns we can solve for x and y.

For the total cost of $80.5:

[tex]80.5=3\cdot{x}+2\cdot{y}[/tex]

WE can write in terms of y:

[tex]80.5/2-(3/2)\cdot{x}=y[/tex]

and substitute into: total of $76.85:

[tex]76.85=2\cdot{x}+3\cdot{y}[/tex]

[tex]76.85=2\cdot{x}+3\cdot{80.5/2-(3/2)\cdot{x}}[/tex]

solve for x

[tex]76.85-3\cdot{80.5/2}=2\cdot{x}-3\cdot{(3/2)\cdot{x}}[/tex]

[tex]-43.9=-2.5\cdot{x}[/tex]

[tex]x=21.95[/tex]

then y is:

[tex]y=7.33[/tex]

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