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Sunday Puzzle-38

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Written by Administrator   
Sunday, 12 May 2013
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Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and international puzzle expert

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The three bears were sitting down to eat their porridge. It should have been a happy family occasion, but it soon became apparent to everyone that something was wrong. "Who's been eating my porridge?" they all cried, but the fact was, they'd eaten each others'! Mummy Bear had eaten half the amount that Daddy Bear would have had left in his bowl if only he had eaten from his bowl and no-one else. Now, Baby Bear originally had 30 spoonfuls in his bowl, Mummy Bear had 60 and Daddy Bear had 90. Baby Bear had eaten half the amount that Mummy Bear would have had left in her bowl if only Daddy Bear had eaten from her bowl and had eaten one third of his actual total consumption. Daddy Bear had eaten the amount that Baby Bear would have had left if only Mummy Bear had eaten from Baby Bear's bowl and had eaten one third of her actual total consumption. How many spoonfuls of porridge had each bear eaten?

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Comments (1)
1. Written by Henry on 23:58 13 2013 .
 
 
d = 30 - (1/3) m 
b = (1/2) [60 - (1/3) d] 
m = (1/2) (90 - d) 
 
Daddy - 18 
Mummy - 36 
Baby - 27
 

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