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Re: Iguana Puzzle (my solution)
Posted By: [Spacebar], on host 207.34.98.1
Date: Tuesday, July 20, 1999, at 09:46:07
In Reply To: Iguana Fun Puzzle (yes you do) posted by HappyDuck on Saturday, July 17, 1999, at 21:22:10:

> You see three iguanas sitting dejectedly on the beach instead of having fun like all the other seven hundred and ninety-one iguanas. When approached, one of them says:
>
> "We've been loaned fifty-seven high school posters as pets for the summer. Our shares are: half, a quarter and a fifth respectively.
>
> Now we're all pals and don't mind that. Except that no student is to be maimed in anyway whatsoever, or the whole deal's off.
>
> What would you, a komodo dragon, do to make an iguana grin?

Brush, that's what.

According to Microsoft Encarta, komodo dragons carry a virulent bacteria in their mouths. That's why getting bitten by one is no fun; it's also got to make for really bad morning breath!

Solving the Iguanas' dilemma is easier, although there's no guarantee that that would make the iguanas grin (they'd be stuck looking after as many as 30 high school posters each, after all, and that can't be an easy job...)

Our friendly, hypothetical, _Varanus komodoensis_ would simply have to find three additional high school posters which it could lend to the iguanas. This would bring the total up to sixty. From this point, the first iguana would take one-half of sixty (thirty), the second iguana would take one-fourth of sixty (fifteen), and the third iguana would take one-fifth of sixty (twelve). Since 30+15+12=57, the origional 57 high school posters would all be properly distributed, with the three lent to the iguanas by the dragon left over (for the dragon to keep, presumably, if it wants to).

Incidentally, an infinite series of similar puzzles can be generated by using the formula y=20n-n, where y is the number of high school posters that the iguanas have been given and n is the number of posters that the dragon has to lend to them in order for eveything to work out. Thus, if the iguanas had had 19 posters, then the dragon could have lent them 1 poster to solve the dilemma (and still have gotten the poster back); if there were 38 posters the dragon could lend 2, and if there were 76 posters, the dragon could lend 4.

[Space "Roar, grrr, hahaha, watch those iguanas run" Bar]