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Math Help - Borda Count Method

  1. #1
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    Borda Count Method

    The Mathematics Department is holding an election for department
    chair. Each member ranks the candidates from first to third. The
    preference table below shows the results of the ballots with
    candidates Clark (C), Jones (J), and Smith (S). I had to attach the table in Wordpad because the format when directly posted messed the table up.

    Determine the winner using the Borda count method and if the winner
    received a majority of first place votes.

    Smith; No
    Jones; No
    Smith; Yes
    Jones; Yes

    I think the answer is Smith; No I reworked the problem last night.

    Here is the work I done to get the answer Smith;No.

    Jones
    (7x3)+(4x3)=33
    10x2=20
    8x1=8

    Smith
    10x3=30
    (7x2)+(8x2)= 30
    4x1=4

    Clark
    8x3=24
    4x2=8
    (7x1)+(10x1)=17

    When I added up all the numbers above for a total.

    Jones=61
    Smith=64
    Clark=49

    Smith has the majority of votes, but from the chart he does not have
    the majority of first place votes though. So I got the answer Smith;No.M
    Attached Files Attached Files
    Last edited by BreedingtheSpawn; September 5th 2010 at 01:33 PM. Reason: Miscounted for Clark.
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  2. #2
    MHF Contributor
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    I agree, except that Clark won 49, not 47 points.
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  3. #3
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    Quote Originally Posted by emakarov View Post
    I agree, except that Clark won 49, not 47 points.

    Thanks.
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