SOLUTION: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.46 to buy three tickets in Japan plus two tickets i

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Question 1128530: Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$79.46 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.89. How much does an average movie ticket cost in each of these​ countries?
Found 3 solutions by MathLover1, rothauserc, MathTherapy:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let tickets in Japan be and in Switzerland
if it would cost ​$ to buy tickets in Japan plustickets in Switzerland, we have



...........eq.1
if tickets in Switzerland plus tickets in Japan would cost ​$, we have



...........eq.2
from eq.1and eq.2 we have






then,
...........eq.1


so, an average movie ticket cost in each of these​ countries:
in Japan be and in Switzerland

Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let j be the cost of a ticket in Japan and s be the cost of a ticket in Switzerland, then
:
1) 3j +2s = 79.46
:
2) 2j +3s = 75.89
:
multiply equation 1 by 2
:
3) 6j +4s = 158.92
:
multiply equation 2 by 3
:
4) 6j +9s = 227.67
:
subtract equation 3 from equation 4
:
5s = 68.75
:
s = 13.75
:
subtract equation 2 from equation 1
:
j -s = 3.57
:
j = s +3.57
:
substitute for s
:
j = 13.75 +3.57 = 17.32
:
*************************************************
cost of ticket in Japan is 17.32 and cost of a
ticket in Switzerland is 13.75
:
check the answers
:
equation 1
:
3(17.32) +2(13.75) = 79.46
:
51.96 +27.50 = 79.46
:
79.46 = 79.46
:
equation 2
:
2(17.32) +3(13.75) = 75.89
:
34.64 +41.25 = 75.89
:
75.89 = 75.89
:
answers check
**********************************************
Answer by MathTherapy(10549)   (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 ​$79.46 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$75.89. How much does an average movie ticket cost in each of these​ countries?
Correct answer: 

ACCEPT NO OTHER!! 

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