SOLUTION: Im having a very difficult time trying to figure out this practice problem. Please help me solve. Average movie prices in the United Staes are in general lower in other cou

Question 756752: Im having a very difficult time trying to figure out this practice problem. Please help me solve.

Average movie prices in the United Staes are in general lower in other countries. It would cost $79.21 to buy three tickets in japan plus two tickets in switzerland. Three tickets in switzerland plus two tickets in japan would cost $75.39. How much does a movie ticket cost in each of these countries?

I tried to set it up but do not feel its right. Ex: $79.21 divided by 3 plus 2x, giving me $13.20 for japan?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
let j = cost of a ticket in Japan
let s = cost of one in Switzerland
:
Write an equation for each statement:
:
It would cost $79.21 to buy three tickets in japan
plus two tickets in switzerland.
3j + 2s = 79.21
:
Three tickets in switzerland plus two tickets in japan would
cost $75.39.
2j + 3s = 75.39
:
Use elimination here multiply the 1st equation by 3, the 2nd eq by 2
9j + 6s = 237.63
4j + 6s = 150.78
-----------------subtracting eliminates s, find j
5j = 86.85
j = 86.85/5
j = $17.37 per ticket in Japan
:
Use the first equation to find s, replace j with 17.37:
3(17.37) + 2s = 79.21
52.11 + 2s = 79.21
2s = 79.21 - 52.11
2s = 27.10
s = 27.10/2
s = $13.55 in Switzerland
:
:
You can confirm this yourself, do the math in the 2nd equation
2(17.37) + 3(13.55) = 75.39

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