Question

Average movie prices in the United States are,

in general, lower than in other
countries. It would cost $80.67 to buy three
tickets in Japan plus two tickets in
Switzerland. Three tickets in Switzerland plus
two tickets in Japan would cost
$76.13. How much does an average movie
ticket cost in each of these
countries?

Answer 1

Japan = $17.95

Switzerland = $13.41

Explanation:

Let x be the cost of a Japanese ticket and y be the cost of a Switzerland ticket

We can set up a system of equations:

3x+2y=80.67

2x+3y=76.13

We can multiply the first equation by 2 and the second equation by 3

6x+4y=161.34

6x+9y=228.39

Subtract the first equation from the second equation to remove x

5y=67.05

Divide 5 from both sides

y=13.41

Plug this back into any of the equations

2x+3(13.41)=76.13

2x+40.23=76.13

2x=35.9

x=17.95

Japan = $17.95

Switzerland = $13.41