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Math Help - hard problem

  1. #1
    Junior Member
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    hard problem

    Every year three students are nominated to be “Student of the Year.” After a review process, 10 teachers must rank each student first, second or third place (no ties), with each first-place vote worth three points, each second-place vote worth two points, and each third-place vote worth one point.
    Under these conditions, what is the smallest number of first-place votes that it would take to ensure that a student would win the Student of the Year? What is the smallest number of first-place votes a student could receive and still win the Student of the Year?

    thanks
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  2. #2
    Senior Member
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    Under these conditions, what is the smallest number of first-place votes that it would take to ensure that a student would win the Student of the Year?
    7. If the other three teachers give you 3rd, you will have 24 points. The most another student can get is 20


    What is the smallest number of first-place votes a student could receive and still win the Student of the Year?
    0 can get you a 3-way tie, one is required for outright win
    Last edited by topsquark; December 10th 2007 at 06:09 AM.
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