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Average movie prices in the United States​ are, in​ general, lower than in other countries. It would cost ​$78.21 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost ​$74.24. How much does an average movie ticket cost in each of these​ countries?

Respuesta :

Answer:

ticket in Japan: 17.23 $

ticket in Switzerland: 13.26 $

Step-by-step explanation:

let the price of one movie ticket in Switzerland be Y

let the price of one movie ticket in Japan be X

then accordingly,

it is given that

3x + 2y = 78.21

and

2x +3y = 74.24

multiplying the first equation by 2 and second by 3 we get

6x + 4y = 156.42

6x + 9y = 222.72

subtracting 1st equation from second we get

5y = 66.3

y = 13.26

by putting in the value of y  in equation 2 we get:

2x + 39.78 = 74.24

2x= 34.46

x= 17.23