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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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 Possible solution | Comment 2 of 5 |

By inspection:

Sell 197+1/2+ 1/2 = 198 leaving 197
2/3*197=131+2/3
Sell 131+2/3+1/3 = 132 leaving 65
3/4*65=48+3/4
Sell 48+3/4+1/4=49, leaving 16
4/5*16 = 12+4/5
Sell 12+4/5+1/5=13, leaving 3, as was required

Edited on December 28, 2015, 9:48 am
 Posted by broll on 2015-12-28 09:24:13

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