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 How many eggs? (Posted on 2015-12-28)
An egg vendor calls on his first customer, and sells half of his eggs and half an egg.
To the second customer, he sells two-thirds of what was remaining and one-third of an egg.
To the third customer, he sells three-fourths of what was remaining and one-fourth of an egg.
To the fourth customer, he sells four-fifths of what was remaining and one-fifth of an egg

The vendor had precisely three eggs at the end of the fourth transaction.

The total number of eggs at the beginning was a whole number. No broken eggs were sold nor were any egg broken in between any two steps or after the last step.

 No Solution Yet Submitted by K Sengupta No Rating

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 re(2): Possible solution | Comment 4 of 5 |
(In reply to re: Possible solution by ken)

We all have feet of clay, Ken!

Doing what I should have done at the outset:

(((k+(4*k+1))+((k+(4*k+1))*3+1))+(((k+(4*k+1))+((k+(4*k+1))*3+1))*2+1))+(((k+(4*k+1))+((k+(4*k+1))*3+1))+(((k+(4*k+1))+((k+(4*k+1))*3+1))*2+1))+1 = 120k+33 (for all k)

Edited on December 28, 2015, 11:24 pm
 Posted by broll on 2015-12-28 21:48:32

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