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Riddle of the Basket of eggs

A man was walking down a road carrying a basket of eggs. As he is walked he met someone who buys one-half of his eggs plus one-half of an egg. A little further and meets another person who buys one-half of his eggs plus one-half of an egg. Later 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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The  Solution
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7 eggs. The first person bought one half of his eggs plus one half an egg (3 1/2 + 1/2 = 4 eggs) This left him 3 eggs. The second person bought one-half of his eggs plus one half an egg, (1 1/2 + 1/2 = 2 eggs) leaving the man 1 egg. The last person bought one-half of his eggs plus one-half an egg, (1/2 + 1/2 = 1 egg) leaving no eggs.