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How many eggs? (Posted on 2015-12-28) Difficulty: 3 of 5
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.

How many eggs did the egg vendor start with?

No Solution Yet Submitted by K Sengupta    
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Solution My solution explained Comment 5 of 5 |
(In reply to re(2): Possible solution by broll)

Going backwards:

IV. 4X/5+1/5+3=X        X=16

III.  3Y/4+1/4+16=Y     Y=65

II.  2Z/3+1/3+65= Z     Z=196

1.   W/2+1/2+196=W     W=393


  Posted by Ady TZIDON on 2015-12-29 03:55:56
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