#*#*#*#*#  (C) 2001, RashiYomi Inc. Dr Hendel President #*#*#*#*#
  -----------------------------------------------------------
  |      Rashi is Simple Version 2.0                         |
  |      (C) RashiYomi Inc., Dr Hendel President             |
  |       http://www.RashiYomi.Com                           |
  | PERMISSION to reprint WITH this header if NOT for profit |
  ------------------------------------------------------------


VERSE: Ex38-24b

RASHIS COVERED: Ex38-24b Ex38-26a Ex38-26b

========================= VALUE OF KIKAR,BEKAH ==================

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
================================================================
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

NOTES
-----
*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
================================================================


RASHI RULE USED: SPREADSHEETS
---------------------------------------------------
WARNING: The following additional references may be too wordy
However they frequently contain additional information & lists
The hyperlinks only work on the main website

Volume 13 Number 8


#*#*#*#*#  (C) 2001, RashiYomi Inc. Dr Hendel President #*#*#*#*#