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#       12 YEAR Ayelet DAILY-RASHI-YOMI CYCLE         #
#                  April 17th, 2002                   #
#          Rashis 1359-1361 Of 7800 (17.4%)           #
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#*#*#*# (C) RashiYomi Inc. 2002, Dr. Hendel, President #*#*#*#*#
VALUE OF KIKAR,BEKAH


EXAMPLE: Ex38-24b 1 KIKAR=3000 SHEKEL (Currency):1 SHEKEL=2 BEKA
EXAMPLE: Ex38-26a 1 KIKAR=3000 SHEKEL (Currency):1 SHEKEL=2 BEKA
EXAMPLE: Ex38-26b 1 KIKAR=3000 SHEKEL (Currency):1 SHEKEL=2 BEKA

BACKGROUND
----------
Ex38 lists
- The Total silver accumulated for the Mishkan
- How many people donated

THE TEXT Ex38-24:26
-------------------
The Total Silver donated was 100 KIKAR and 1775 SHEKEL...
The donation amount was 1 BEKAH per PERSON
There were 603,550 PEOPLE

THE RASHI
---------
Some simple algebra allows us to combine these facts to obtain
the value of the currency units used

ONE KIKAR = 3,000 SHEKEL
ONE SHEKEL= 2 BEKAH

Upon multiplying out we see 3000*2 + 1775*2 = 603,550

THE LIST
--------
The list below lists these verses, supporting verses, and
the algebraic equations needed to solve the above

REFERENCES
----------
The Rashi Rule used is called SPREADSHEETS
A reference is http://www.RashiYomi.com/h13n8.htm
Or http://www.Rashiyomi.com/ex38-24b.htm

AMOUNT AMOUNT OF WHAT UNIT ASSUMPTION ALGEBRAIC EQUATION
100 KIKAR K = Sx*1
1775 SHEKEL
1 BEKAH S=2B*2
603,550 PEOPLE 1P = 1B*2 100K+1775S=603550B*3
COMMENTS
*1 We assume that
   -- the each KIKAR (K) was equal to an UNKNOWN amount (X)
      of SHEKEL, S

*2 Ex38-26 States [There was 1 BEKAH donated for Each Person]
   Ex30-13 states [Each person will donate HALF A SHEKEL]

   Hence I conclude that ONE SHEKEL = 2 BEKAH (S=2B)
   or equivalantly that each person donated 1 Bekah

*3 We can solve this equation as follows
   100K+1775S = 100 Sx + 1775S by Substitution K=Sx
   100 Sx + 1775S =S(100x+1775) (by Factoring)
   Thus S(100x+1775) = 603550(S/2) = 301775(By Expansion)

   Dividing both sides by S we obtain 100X+1775= 301775
   Subtracting 1775 from both sides we obtain 100X = 300000
   Dividing both sides by 100 we obtain X = 3000

   In other words there were 3000 Shekels Per KIKAR*10 *11

-------------------------- LONGER FOOTNOTES --------------------

*10 This amount (3000 @ Kikar) is also consistent with with
   the fact that the SHekel units for GOld, Silver and copper
   --- 730, 1775, 2400 -- never exceed 3000 (Since then we
   would regroup can carry)

*11 Interestingly the five rules used to solve this
   system of equations
   - Factoring
   - substitution
   - Expansion
   - subtraction (from both sides)
   - Division (of both sides)
   are exactly the 5 rules needed to solve any equation in
   1 unknown
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