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Math Help - Pattern/Recursion for paint can problem

  1. #1
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    Mar 2008
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    Pattern/Recursion for paint can problem



    Hello

    I am stuck on this problem, and would appreciate any help. Thank you.
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  2. #2
    Newbie Firstone's Avatar
    Joined
    May 2008
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    I'm only doing the first part of the question, because i can't figure out the faster way of doing the the second part.

    Let W = White, R = Red

    First Can:
    (4/4)W
    (3/4)W
    (3/4)W + (1/4)[(1/4)W + (3/4)R]
    =(13/16)W + (3/16)R

    Second Can:
    (3/4)R
    (1/4)W + (3/4)R
    (3/4)[(1/4)W + (3/4)R]
    =(3/16)W + (9/16)R

    Therefore the first can has 81.25% White and 18.75% Red. The second can has 25% White and 75% Red.

    I think i did it right, and hopefully it helped u. =)
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