Fair Division - Fair Division Nathan Sullivan Within the...

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Fair Division Nathan Sullivan Within the Fair Division problem the reader is met with two problems on the sheet. The first of the two talks of three friends that go to a wine auction. They end up buying 20 bottles of wine all together. The first of the friends is named Jared; he has put in a total of $306. The second is named Michael who has put $207 toward their bottles of wine. The finale of the three is named Robert who has put in the most money with a total of $387. With this information the reader must now show who will get how many bottles of wine by how much they have paid. To do this the reader must first find out what the total cost of the wine was by adding all the amounts together, after doing this they will find that the total equals $900. And once they have found this the next step is to divided the total cost by how many bottles were purchased (20) this number will then be 45, showing that it cost was $45 per bottle. With this new information the reader can find out how many bottles each man will get by dividing how much he paid by $45.
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