Problema Solution

it cost 80.16 for 5 movie tickets total. 3 from japan and 2 from Switzerland. 3 tickets from Switzerland and 2 from japan would cost 76.64

how much does an average ticket cost in each of these countries

Answer provided by our tutors

let


x = the average ticket cost in Japan

y = the average ticket cost in Switzerland


it cost 80.16 for 5 movie tickets total. 3 from japan and 2 from Switzerland


3x + 2y = 80.16


3 tickets from Switzerland and 2 from japan would cost 76.64


2x + 3y = 76.64


by solving the system of equations


3x + 2y = 80.16

2x + 3y = 76.64


we find


x = $17.44


y = $13.92


the cost of the ticket in Japan is $17.44.

the cost of the ticket in Switzerland is $13.92.