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How's Your Algebra? Mystery Cache

Hidden : 5/13/2005
Difficulty:
3 out of 5
Terrain:
2.5 out of 5

Size: Size:   small (small)

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Geocache Description:


Introduction: Algebra has always been a fasinating and interesting subject to me. Many of the earlier mathematicians developed the techniques for solving complicated equations with ease.

In this puzzle, you'll be solving equations with "unknowns." The "unknowns" will be the "minutes" part of both the latitude and longitude of the cache coordinates. The listed coordinates are for area location and are NOT the coordinates of the cache. The actual cache is located somewhere within the park.

The park has plenty of paved walking areas for exercise and bird watching. It is usually busy during normal working hours. Anytime is a good time to look for the cache, but after hours and on weekends are the best. Parking is plentiful.

GIVEN: The sum of the latitude and the longitude coordinates is 116º 21.516'

Let,

X = the unknown value of the "minutes" of the latitude

Y = the unknown value of the "minutes" of the longitude.

Four times the "minutes" of the latitude plus 3.496 equals the "minutes" of the longitude.

Solving the algebra will reveal the "minutes" coordinates of the cache (the "degrees" for the latitude and longitude should be obvious). It is in a well-hidden, camouflaged, plastic jar with a yellow lid (a dead giveaway). Digging is not rquired to reveal the cache. It is large enough for a logbook, small travel bugs, and other small items. The cache has a FTF reward!

Please sign the logbook and replace the lid securely, but NOT TOO TIGHT! Then, make sure that the cache is returned to its original position.

As a final note, there are three other caches in this park: All the Kings Horses (GCM312) and All the Kings Men (GCM3G0) by Pirates of the Carolinas; and, Treasure Park (GCMPX9) by Raven Pop.

Additional Hints (No hints available.)