SOLUTION: Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.15 to buy three tickets in Japan plus two tickets in Switzerland. Thre

Algebra ->  Equations -> SOLUTION: Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.15 to buy three tickets in Japan plus two tickets in Switzerland. Thre      Log On


   

Question 911352: Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.15 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.20. How much does an average movie ticket cost in each of these countries.
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.15 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.20. How much does an average movie ticket cost in each of these countries.
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let x= cost of average movie ticket in Switzerland
let y= cost of average movie ticket in Japan
..
2x+3y=81.15
3x+2y=77.20
..
6x+9y=243.45 (mult. eq. 1 by 3)
6x+4y=154.40 (mult. eq. 2 by 2)
subtract:
5y=89.05
y=17.81
2x=81.15-3y=27.72
x=13.86
cost of average movie ticket in Switzerland=$13.86
cost of average movie ticket in Japan=$17.81