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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: 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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