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Post Info TOPIC: Can you guess this Halloween Brain Teaser?
Barnmice Admin


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Date: Oct 22, 2010
Can you guess this Halloween Brain Teaser?
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This one's tricky!

At the Halloween Ball, every wizard brought at least one black cat.

The organizers want to know how many cats and wizards attended.

Unfortunately, the only record they have is a group photo taken as the photographer tripped, and all it shows is feet and paws.

A ghost flying over the Ball also snapped a photo but it was midnight and all he captured was the total number of eyes, glowing in the dark.

If the photographer counted 196 feet and paws and the ghost tallied 126 eyes, how many wizards and how many black cats were at the Ball?



-- Edited by Barnmice Admin on Friday 22nd of October 2010 07:09:26 PM

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Gary Stuart


Well Schooled

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Posts: 32
Date: Oct 22, 2010
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Let C = number of cats
Let W = number of wizards

Since there are 126 eyes, there are 126/2 = 63 cats and wizards

Therefore: C+W=63

There are 196 legs. Since each cat has 4 legs and each wizard 2 legs (I've watched all the Harry Potter movies):

Therefore: 4C + 2W = 196

Solving:

C+W=63
4C + 2W = 196

C = 63-W
4(63-W) +2W = 196
252 - 4W+2W = 196
-2W = -56
W = 28

Therefore C = 35

So there were 35 cats and 28 wizards.

Scary!  boo.gif


-- Edited by Gary Stuart on Friday 22nd of October 2010 11:36:20 PM

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