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) About Me  (Show Source):
You can put this solution on YOUR website!

let tickets in Japan be x and in Switzerland y
if it would cost ​$79.46 to buy three tickets in Japan plus+two+tickets in Switzerland, we have
3x%2B2y=79.46
3x=79.46-2y
x=79.46%2F3-2y%2F3
x=26.487-0.67y...........eq.1
if three tickets in Switzerland plus two tickets in Japan would cost ​$75.89, we have
2x%2B3y=75.89
2x=75.89-3y
x=75.89%2F2-3y%2F2
x=37.945-1.5y...........eq.2
from eq.1and eq.2 we have
26.487-0.67y=37.945-1.5y
1.5y-0.67y=37.945-26.487+
0.83y=11.458+
y=11.458+%2F0.83
y=13.80481927710843
y=13.81
then,
x=26.487-0.67%2A13.81...........eq.1
x=26.487-9.2527
x=+17.23
so, an average movie ticket cost in each of these​ countries:
in Japan be 17.23 and in Switzerland 13.81

Answer by rothauserc(4718) About Me  (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) 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 ​$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!!