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Maybe I should've carried the 1... Mystery Cache

Hidden : 12/30/2011
Difficulty:
4.5 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

Another cache brought to you by a member of the






The cache is NOT at the listed coordinates. It is, however, close by.

The listed coordinates will only place you in front of the Dawkins Middle School where many children learn to hone their math skills in preparation for the challenges that Dorman High School mathematics can bring.

There may be muggles present, but you should have enough natural cover to keep from being discovered.

I placed this cache to honor a new Geocaching friend from the North,
--Captain Math!--- (Hope you like it, Kevin!)

This cache is simply a test of your math skills, observation and persistence.

The North coordinates are: N 34° 53. A-B-C
To solve the last three unknown digits, you must solve the following word problem:

An older geocacher, being a GPSr horder, had tried to buy as many GPSr's as he could, but was finding himself well advanced in years. He called his boys together and told them that he wished to divide his GPSr’s between them while he was still alive. "Listen kid," he said to the eldest, "you may take as many Garmins as you think you could take care of, and your wife may have one ninth of all that are left."

Calling the second son he said, "Sport, you may take the same number of Garmin's that your older brother took, plus one extra Garmin because he had the first pick. To your wife, I will give one ninth of what will be left."

To the third son he made a similar statement. He was to take one Garmin more than the second son, and his wife was to have one ninth of those left. The same applied to the all other sons. Each took one Garmin more than his next oldest brother, and each son's wife took one ninth of the remainder.

After the youngest son had taken his share, there were none left for his wife. Then the old man said: "Since Delormes are worth more to some geocachers as Garmins, we will divide up my seven PN 60s so that each family will own property of equal value."

The problem is to tell how many Garmins the old man owned and how many did his daughters-in-law receive.


Once you know the total number of Garmins, multiply that answer times six. Then, to that number, add the total number of Garmins that his daughters-in law received. Lastly, add the number, 4 (four) to your result. You should have a three digit number to plug in. (A-B-C)

The Checksum of A+B+C = a two digit number, (D-E) and therefore D+E = 1

Now, onto the second part of this little quiz.

The West coordinates are: W 081° 58. A-B-C

This one is fairly simple. You’ll just need to calculate the Mathematical constant Pi (3.14) to the required places.

A = Pi digit place 563
B = Pi digit place 422
C = Pi digit place 1393

The Checksum of A+B+C = a two digit number, (D-E) and therefore D+E = 5

Additional Hints (Decrypt)

Ubyl-zbyl!

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)