Basket of eggs Puzzle

Basket of eggs Puzzle

Here is another brainteaser to test your brain. Solving it will give a good exercise to brain.

Basket of Eggs
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 his eggs, and he never broke an egg. How many eggs did the man have to start with?

Lets see if you can solve it. Try little math and you may have the answer.

Here is a little hint to start with.
Hint: He never broke an egg. This means that he never had half egg from starting till end.

Once you solved this brainteasers then scroll down to match your answer.

Also Try: Tricky Math Puzzles

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Basket of Eggs Puzzle Answer:

He started with 7 eggs

Explanation:
Remember the hint (Hint: He never broke an egg.)

Lets assume he had X eggs when he started.

First person buys one-half of his eggs plus one-half of an egg = X/2 + 1/2 = (X+1)/2

So he is left with X – [(X+1)/2] = (X-1)/2

Second person buys one-half of his eggs plus one-half of an egg = (X-1)/4 + 1/2 = (X+1)/4

So he is left with (X-1)/2 – (X+1)/4= (X-3)/4

Third person buys one-half of his eggs plus one-half of an egg = (X-3)/8 + 1/2 =(X+1)/8

So he is left with (X-3)/4 – (X+1)/8= (X-7)/8

Now after third person he was left with NO eggs

so last equation (X-7)/8 = 0 which makes X = 7

so he started with 7 eggs.

Lets see how it worked out:’

Person one buys half the 7 eggs [3 1/2] plus 1/2 an egg, or 4 total. No eggs broken.

This leaves 3 eggs. Person 2 buys half the remaining 3 eggs [1 1/2] plus 1/2 an egg, or 2 total.

Again no eggs broken. This leaves 1 egg.

Person 3 comes along, and he buys half the 1 egg [1/2] plus 1/2 an egg, or 1 egg. No broken eggs, all eggs sold

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