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Dear Math is fun Team,
i have a pi puzzle (actually a pie day puzzle)which i cant solve. I hope you can help me with this .
https://www.geocaching.com/geocache/GC721K1_dozens-of-pies
The Hint for this puzzle is
[Puzzle]: [ Put some dozen Pies in your shopping cart,
check them all out and you pay only the integer part of the total price.
Don`t forget counting your money before paying! ]
(check, integer, counting, failure)
At the Endresult must be some coordinates for example like this:
N 39° 52.935` E 116° 24.397`
Dozens of Pies is the headline. So i think it is about the digit pi.
The name pie is just a metaphor for pi.
Prize for one pie is pi
And you only count only integer number
So i started like this dozens of pi
x *12 * pi = 37.6991118431 (multiple of Pi * 12)
But the i dont now how to continue.
check them all out is the main key of the puzzle
The endresult must be some coordinates for example
N 39° 52.935' E 116° 24.397'
Can u please help me to solve it ?
Kind regards philip
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OK. Here's what I would do... find a multiple of pi x 12 that produces a result like the one in your co-ordinates - ie what multiple of p1x12 is closest to 395293511624397. Because π is irrational, there will be decimals to the right of the decimal point. Ignore those. So some very large number of multiples of 12 x pi will yield a number close to 395293511624397. There will of course be several of these, which you're going to have to try either in GeoChecker or by looking on a map to see what works. To get started, divide your current co-ordinates by pi*12. Then check out those around that value that seem likely.
Of course, I could be wrong... but it's a place to start. Let me know if you find it.. I will be unlikely to get to Beijing again to try it.
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