Sunday, February 28, 2021

The Chocolate Problem

For the solution, click "Read More" below.


These are the numbers of chocolate bars that each party guest has at the time she sits down:


A=3, B=2, C=1 1/2, D=1, E=1, F=1, G= 3/4, H=2/3, I=3/5, J=1/2, K=1/2, L=1/2, . . . .


Notice that when D sits down, she can sit at any table and would get 1 chocolate bar.  So while different students may have different table arrangements in their solutions, these numbers should be the same for everyone.  


Can you find a pattern?  If you can, then you could start to explore larger numbers, such as where does the 100th person sit?


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