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7 June, 07:31

Average movie prices in the United States are, in general, lower than in other countries. It would cost $79.38 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.12 How much does an average movie ticket cost in each of these countries?

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  1. 7 June, 07:56
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    3j + 2s = 79.38

    3s + 2j = 75.12. 3s + 2j - 3s = - 3s + 75.12. 2j/2 = - 3/2s + 75.12/2.

    j = - 1.5s + 37.56

    Then you can use substitution

    3 (-1.5s + 37.56) + 2s = 79.38

    -4.5s + 112.68 + 2s = 79.38

    -2.5s + 112.68 - 112.68 = 79.38 - 112.68

    -2.5s = - 33.30

    -2.5s/-2.5 = - 33.30/-2.5

    s = 13.32

    So s is 13.32 so you plug that back in and solve for j

    3j + 26.64 = 79.38

    3j + 26.64 - 26.64 = 79.38 - 26.64

    3j = 52.74

    3j/3 = 52.74/3

    j = 17.58

    So in Japan tickets average 17.58 and in Switzerland they average 13.32
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