hEY, i I don't know the answer to this one so can you guys help me?

A man walks down the street carrying a basket of eggs. They are not broken and cannot be broken so they have to stay whole. He runs into person a and sells him have of his eggs plus 1/2 of an egg. He runs into person B and sells half of the remaining eggs to him plus 1/2 of an egg. than he runs into person C and sell the rest of his eggs and 1/2 of an egg. How many eggs did he start out with and why?

The above was an extra credit question form my math teacher, could you guys help me get the answer plz? pm it to me or post it here. Thanks a bunch. I bow down to you and will rep you up as mcuh as I can if you get me the right answer, I promise

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