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Can anyone solve this riddle??!! Thank!

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paddycar | 13:02 Mon 19th Sep 2005 | Quizzes & Puzzles
3 Answers
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 out of his bowl and no-one else. Now, baby bear had 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 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 had eaten one third of her actual total consumption. How many spoonfuls of porridge had each bear eaten?

Baby Bear ____
Mummy Bear ____
Daddy Bear ____
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I get Baby Bear 27

        Mummy Bear 36

        Daddy Bear 18 spoonfuls??

 ... but let me check these figures!

Baby 27

Mummy 36

Daddy 18

90 - M = 3D, 180 - D = 6B, 90 - D = 2M

Daddy (x) had 18 spoonfuls, Mummy (y) 36 and Baby (z) 27, so they all lost out!

How I worked it out:

x=30-y/3

y=1/2(90-x)

z=1/2(60-x/3)

I found out what x was by inserting the second equation into the first, and then used the answer to work out the rest. Believe me it took me a while to get it right! Good brain exercise.

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