Videos Test Yourself Books MathFacts Math Diagnostics Math Tricks Daily PhysEd
Class Photos Worksheets Insectclopedia Musiclopedia Techlopedia Teacher Timesavers Study Guides

The Eccentric Market Woman

Mrs. Covey, who keeps a little poultry farm in Surrey, is one of the most eccentric women I ever met. 
Her manner of doing business is always original, and sometimes quite weird and wonderful. 
She was once found explaining to a few of her choice friends how she had disposed of her day's eggs. 
She had evidently got the idea from an old puzzle with which we are all familiar; but as it is an improvement on it, I have no hesitation in presenting it to my readers. 
She related that she had that day taken a certain number of eggs to market. 
She sold half of them to one customer, and gave him half an egg over. 
She next sold a third of what she had left, and gave a third of an egg over. 
She then sold a fourth of the remainder, and gave a fourth of an egg over. 
Finally, she disposed of a fifth of the remainder, and gave a fifth of an egg over. 
Then what she had left she divided equally among thirteen of her friends. 
And, strange to say, she had not throughout all these transactions broken a single egg. 
Now, the puzzle is to find the smallest possible number of eggs that Mrs. Covey could have taken to market. 
Can you say how many?

See answer



Brain Teaser Of The Week