Al, Bert, and Carl are on a road trip, and stop at a roadside picnic table for lunch. Al has five sandwiches. Bert has three sandwiches. Carl, who is a little absent-minded, realizes that he forgot to stop at the Deli that morning. He has the $8 that he was going to buy his sandwiches with and offers it to Al and Bert for some of their lunch.
It is decided that the three of them will divide the 8 sandwiches equally, and then Al and Bert will divide the $8. After lunch, Bert picks up four of the dollars. but Al says that it is not fair. He says he should have more. Carl agrees that All should have nore. He says that since Al contributed 5 of the sandwiches and Bert contributed 3, Al should get $5 and Bert should get $3
Is this the most fair division of the money?
(The site I found this on calls it a "classic" puzzle, but does not give any other information about its source.)
Well, from what I can tell:
a) there are 8 sandwiches which are equally split between the 3 people: i.e. each will get 2 2/3 sandwiches each
b) Carl seems willing to pay $8 for his 2 2/3 sandwiches (i.e. $3 each)
c) At the end of the day, Bert is going to eat most of his sandwiches himself, leaving only 1/3 of a sandwich for Carl. Al will be 'selling' 2 1/3 sandwiches to Carl.
At the $3/sandwich payment, this would mean Bert should get $1 and Al should get $7.
Money money money
