How many eggs?

A man is walking down a road with a basket of eggs. As he is walking he meets someone who buys one-half of his eggs plus one-half of an egg.
He walks a little further and meets another person who buys one-half of his eggs plus one-half of an egg.
After proceeding further he meets another person who buys one-half of his eggs plus one half an egg. At this point, he has sold all of his eggs, and he never broke an egg.
How many eggs did the man have to start with?

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Seven

Solution: Person one buys half the eggs [3 1/2] plus 1/2 an egg, or 4 total. No eggs are broken. This leaves 3 eggs. Person 2 buys half the remaining eggs [1 1/2] plus 1/2 an egg, or 2 total. Again no eggs were broken. This leaves 1 egg. Person 3 comes along, and he buys half the eggs [1/2] plus 1/2 an egg, or 1 egg. No broken eggs, eggs all sold.

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