Andy and Bill are traveling when they meet Carl. Andy has 5 loaves of bread and Bill has 3; Carl has none and asks to share theirs, promising to pay them 8 gold pieces when they reach the next town.
They agree and divide the bread equally among them. When they reach the next town, Carl offers 5 gold pieces to Andy and 3 to Bill.
“Excuse me,” says Andy. “That’s not equitable.” He proposes another arrangement, which, on consideration, Bill and Carl agree is correct and fair.
How do they divide the 8 gold pieces?
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Assume each of the eight loaves was divided into 3 pieces, making 24 altogether.
Andy’s 5 loaves made 15 pieces. He ate 8 and gave the remaining 7 to Carl.
Bill’s 3 loaves made 9 pieces. He ate 8 and gave the remaining 1 to Carl.
So Andy should get 7 gold pieces and Bill 1.
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