Math word problem

A person comes into a store and say to the shopkeeper, "I will buy half of your eggs plus half of an egg. "The transaction is made. A second person comes into the store and makes the same transaction. So does a third. The shopkeeper notices tha he now has one egg left. How many eggs did he begin with?

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  1. Work backwards:
    After every time a customer buys half of the eggs there are N eggs left.
    So before the transaction, there were
    2*(N + 1/2)=what was there before.
    Repeat the same three times you'll get what was there at the very beginning.

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  2. 12

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  3. 12 and a half

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