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25 December, 09:53

Five-eighths of the votes were blue, 5/9 of the remaining were for green, and the remaining 48 were for red. How many votes were for blue?

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  1. 25 December, 11:01
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    Considering n the total of votes:

    n = 5/8 * n + 5/9 * (1 - 5/8) * n + 48

    Then

    n (1 - 5/8 - 5/9*3/8) = 48

    n (1/6) = 48

    n = 288

    => blue votes = 5/8 * 288 = 180
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