It would cost $ 80.43 to buy 3 tickets in Japan plus 2 in Switzerland. 3 tickets in Switzerland plus 2 tickets in Japan would cost $75.87. How much does a ticket average in each country?

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

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