## PLEASE HELP PLEASE! 15 POINTS Average movie prices in the United States are, in general lower than in other countries. It would cost

Question

Average movie prices in the United States are, in general lower than in other countries. It would cost \$79.99 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost \$75.21. How much does an average movie ticket cost in each of these countries?
In Japan the average cost is:
In Switzerland the average cost is:

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1 month 2021-09-11T01:06:39+00:00 1 Answer 0

The average movie ticket in Switzerland is \$13.73 and in Japan is \$17.46

Step-by-step explanation:

Given that it will cost  \$79.84 to buy 3 tickets in Japan +2 tickets in Switzerland and \$76.11  for 3 tickets in Switzerland +2 tickets in Japan then you can form simultaneous equations as show;

3J + 2S = \$79.84

2J +3S=\$76.11

Where J is for tickets Japan and S is for tickets in Switzerland

Solving the simultaneous equations

(3J + 2S = 79.84)2

(2J +3S=76.11 )3

Making the J side equal by cross product

6J+4S=159.68

6J+9S=228.33

Eliminating the J side by subtraction

5S=68.65

Dividing both sides by 5 to remain with S

5S/5=68.65/5

S=13.73

using the value of S in equation 3J+2S=79.84

3J+2(13.73)=79.84

3J+27.46=79.84

3J=79.84-27.46

3J=52.38

J=52.38/3 = 17.46

The average movie ticket in Switzerland is \$13.73 and in Japan is \$17.46

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