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Thread: Please help me with this percentage problem

  1. #1
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    Please help me with this percentage problem

    Hello i need help with the following: if person A has a cake, person B has two cakes, person C has half of a cake, person D has one fifth (1/5) of a cake and person E has nothing , and they find a new cake and decide to share it in the following way: everyone should have a peice of cake and those who allready have more cake will recieve less of the new cake. Please help me with this i have been trying to find a mathematical way to solve this problem and i thought i could solve it with percentages but maybe it isnt the way.
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  2. #2
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    Re: Please help me with this percentage problem

    Is that an actual problem, or did you make it up?
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  3. #3
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    Re: Please help me with this percentage problem

    Its made up but it is based on the same maths used for calculating the value of a vote per state giving priority to states with less population. I want to understand how it done.
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  4. #4
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    Re: Please help me with this percentage problem

    Quote Originally Posted by Avopeac View Post
    Its made up but it is based on the same maths used for calculating the value of a vote per state giving priority to states with less population. I want to understand how it done.
    No, it isn't. States have different populations and representatives are population based. You have each person with different numbers of cakes. Finding a cake is like adding another representative, but every person is a population of 1.
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  5. #5
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    Re: Please help me with this percentage problem

    I believe the method of allocating representatives you are referring to is this: Calculate the ratio of number of representatives to population for each state. When there is a new representative to be allocated, give it to the state with the lowest such ratio. This problem isn't quite the same since there is no "population" to be considered, just the cake they already have.

    Here, with a new cake, the difficulty is deciding how many pieces to divide it into. I am going to, arbitrarily, divide every cake into 100 pieces. A currently has 100 pieces, B, 200, C 50, D 20, and E none. Of the new 100 pieces, E will be given the first 20 so that he and D both have the same number, 20. Then 30 more, each, are given to D and E so that C, D, and E all have 50. There are 20 pieces still to be allocated so C, D, and E are each given 6 more so that C, D, and E have 56. That leaves 2 pieces. Give one each to any two of C, D, and E. We now have A, 100 pieces, B, 200, two of C, D, and E 57, the last 56.
    Last edited by HallsofIvy; May 14th 2017 at 03:09 AM.
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