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mayachojnicki
14.01.2020 •
Mathematics
Average movie prices in the united states are, in general, lower than in other countries. it would cost $78.73 to buy three tickets in japan plus two tickets in switzerland. three tickets in switzerland plus two tickets in japan would cost $75.02. how much does an average movie ticket cost in each of these countries?
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Ответ:
Average movie ticket cost in Japan = $17.23
Average movie ticket cost in Switzerland = $ 13.52
Step-by-step explanation:
Let x be the cost of movie ticket in Japan and y be the cost of movie ticket in Switzerland.
Given 3 ticket in Japan + 2 tickets in Switzerland = $78.73
⇒ 3x + 2y = 78.73 – – – – (1)
Given 3 ticket in Switzerland + 2 tickets in Japan = $75.02
⇒ 3y + 2x = 75.02
⇒ 2x + 3y = 75.02– – – – – (2)
Now, to solve (1) and (2), we multiply equation (1) by 2 and equation (2) by 3.
(1) × 2 ⇒ 6x + 4y = 157.46 – – – – (3)
(2) × 3 ⇒ 6x + 9y = 225.06 – – – – (4)
Subtract (3) from (4), we get
6x + 9y – (6x + 4y)= 225.06 – 157.46
⇒ 6x + 9y – 6x – 4y= 67.6
⇒ 5y = 67.6
⇒ y = 13.52
Now substitute y = 13.52 in equation (1), we get,
(1) ⇒ 3x + 2(13.52) = 78.73
⇒ 3x = 78.73 – 27.04
⇒ x = 27.23
Hence, Average movie ticket cost in Japan is $27.23
Average movie ticket cost in Switzerland is $ 13.52.
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