Given:
First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg.
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg.
At this point she had sold all her eggs.
To find:
The number of egg the lady have when she came to the market.
Solution:
Let x be the number of egg that the lady have when she came to the market.
First customer bought 1/2 of all eggs of lady seller and 1/2 of an egg. So, the number of remaining eggs after first customer is
Her second customer bought 1/2 of all the remaining eggs and 1/2 of an egg. So, the number of remining egg after second customer is
At this point she had sold all her eggs. It means the remining eggs is 0.
Multiply both sides by 4.
Therefore, the lady came to the market is with 3 eggs.