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Math Help - A little help with percentages!

  1. #1
    Senior Member
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    A little help with percentages!

    Hello Maths people... I need to answer this problem for tomorrow but I'm just completely stuck. Any genius out there please??

    Tim and Beth both have a string of flags. They have red flags, white flags, blue flags, and union jacks.

    They both counted how many of each colour they had.

    Tim's flags are 50% blue, 25% red, 10% white and 15% union jacks.
    Beth's flags are 40% blue, 24% red, 20% white and 16% union jacks.
    They both have as few flags as possible with those percentages.

    1- Who has the most flags?
    2 - Who has the most red flags?
    3 - Who has the most blue flags?
    4 - How many union jacks do they have between them?
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  2. #2
    Senior Member I-Think's Avatar
    Joined
    Apr 2009
    Posts
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    I will just help with number 1, I figure that solves everything


    Tim's flags are 50% blue, 25% red, 10% white and 15% union jacks.
    Beth's flags are 40% blue, 24% red, 20% white and 16% union jacks.

    Dealing with Tim, all his flags must have integer values
    White=\frac{T}{10}, hence T must be a multiple of 10
    Union Jack=\frac{3T}{20}, hence T must be a multiple of 20.
    Blue=\frac{T}{2}, hence T must be a multiple of 2
    Red=\frac{T}{4}, hence T must be a multiple of 4

    Find the L.C.M., which is 20 so Tim has 20 flags

    For Beth
    White=\frac{B}{5}, B multiple of 5
    Union=\frac{4B}{25} B multiple of 25
    Blue-\frac{2B}{5} B multiple of 5
    Red=\frac{6B}{25} B multiple of 25.

    L.C.M.=25
    Beth has 25 flags

    Everything else is just using the given data to solve
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