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Math Help - proportion

  1. #1
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    proportion

    If a round 8-inch diameter pizza serves two students, how many students should
    two 12-inch diameter pizzas serve?

    a 9 b. 8 c. 6 d. 4 e. NG
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  2. #2
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    What's your plan for a solution?

    You must FIRST decide on a "serving size". Is it a "slice"? Is it "square inches"? What?

    Once you have decided, then you can solve the problem.
    Last edited by TKHunny; November 28th 2009 at 05:05 AM.
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  3. #3
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    Quote Originally Posted by sri340 View Post
    If a round 8-inch diameter pizza serves two students, how many students should
    two 12-inch diameter pizzas serve?

    a 9 b. 8 c. 6 d. 4 e. NG
    first, you get 4^2\pi per 2 students or 8\pi per student.

    then the larger pizza has size = 36\pi
    so this pizza should serve 4.5 students
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  4. #4
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    Zeroeth: Ukorov decided that serving size was measured in square inches of pizza. Tell me you could not have done that. sri450.
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  5. #5
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    Quote Originally Posted by sri340 View Post
    If a round 8-inch diameter pizza serves two students, how many students should
    two 12-inch diameter pizzas serve?

    a 9 b. 8 c. 6 d. 4 e. NG
    Consider the area of the two pizzas, the fist has an area of 16pi, the total area of the other two pizzas is 72pi. If two share the first pizza they eat an area of 8pi each, thefore an area of 72 pi will feed 72/8= 9 people
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  6. #6
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    Yet another Area solution.

    Perhaps this option... One serving = Number of Slices

    8" Pizza can be cut into 6 slices. 6 slices / (2 persons) = 3 slices / person

    12" Pizza can be cut into 8 slices. 8 slices / (3 slices / person) = 8/3 persons (or 2 persons with some leftovers or 3 persons with one a little dissatisfied)

    Perhaps this option... One Serving = Disk or Washer of equal net diameter.

    8" / (2 persons) = 4" per person

    12" / (4" / person) = 3 persons

    Who ever said anyone eats pizza the same when it comes in different sizes?
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