How Many Eggs Did The Man Have To Start With ?

Question

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.

Answer 1

He has started with 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.

Comments

Can I get logic for this?