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Buying Chestnuts (Posted on 2004-01-05) Difficulty: 3 of 5
(This "nonsense puzzle" gets its name from the puzzle I saw it from)

A shopper went into a shop and wanted a dollar's worth of chestnuts when he gave the shopkeeper a one dollar bill and was given five chestnuts. "It is not enough; I ought to have a sixth," the shopper remarked. "But you will have five too many if I gave you one chestnut more", the shopkeeper replied.

How many chestnuts should the man have gotten for 3 twenty dollar bills?

See The Solution Submitted by Gamer    
Rating: 3.0000 (3 votes)

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Solution explanation to puzzle answer Comment 20 of 20 |
(In reply to answer by K Sengupta)

The shopper wanted a sixth of a chestnut "more", than what he received.


If the shopper gave him 6 chestnuts, then he would have received:
          1       5
6  -  5---  = ---- (five) chestnuts more.
          6       6
                                                1     31
Accordingly , the cost of 5 ---  = ----    chestnuts was 1 dollar.
                                                6      6

Consequently,  for three 20-dollar bills or 60 dollars, he would have gotten: 
(31/6)*60 = 310 chestnuts.


  Posted by K Sengupta on 2022-07-25 00:56:41
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