Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫  π  -¹ ² ³ °

You are not logged in.

## #1 2017-06-07 01:45:57

nox
Member
Registered: 2017-06-06
Posts: 2

### Pi Day math Puzzle Geocaching

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'
Kind regards philip

Offline

## #2 2017-07-04 22:44:18

thezenwizard
Member
Registered: 2017-07-04
Posts: 1

### Re: Pi Day math Puzzle Geocaching

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.

Offline