Answer: the cost of a ticket in Japan is $17.91
the cost of a ticket in Switzerland is $13.35
Step-by-step explanation:
Let x represent the cost of one ticket in Japan.
Let x represent the cost of one ticket in Switzerland.
It would cost $80.43 to buy 3 tickets in Japan plus 2 tickets in Switzerland. It means that
3x + 2y = 80.43- - - - - - - - - -1
3 tickets in Switzerland plus 2 tickets in Japan would cost $75.87. It means that
2x + 3y = 75.87- - - - - - - - - - - - -2
Multiplying equation 1 by 2 and equation 2 by 3, it becomes
6x + 4y = 160.86
6x + 9y = 227.61
Subtracting, it becomes
- 5y = - 66.75
y = - 66.75/ - 5
y = 13.35
Substituting y = 13.35 into equation 1, it becomes
3x + 2 × 13.35 = 80.43
3x + 26.7 = 80.43
3x = 80.43 - 26.7
3x = 53.73
x = 53.73/3
x = 17.91
