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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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re: Possible solution | Comment 3 of 5 |
(In reply to Possible solution by broll)

I get 393.


2/3*197=131+1/3!

393*1/2+1/2=197 sold to first customer, leaving 196
196*2/3+1/3=131 sold to second customer, leaving 65
65*3/4+1/4=49 sold to third customer, leaving 16
16*4/5+1/5=13 sold to fourth customer, leaving 3

  Posted by ken on 2015-12-28 21:34:01
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