### PART 2

PROBLEM

__Sample Calcs for __Part 1a

T = Total Votes for Republicans & Democrats combined
= 100,000,000
X = Democrat total
Y = Republican total
D = Total Democrats should have gotten = .545 * 100 million
= 54,500,000 (that is, the 54.5% The Professor said they
*should* get)
X + Y = 100,000,000 (equation 1) GIVEN
X - Y = 200,000 (equation 2) GIVEN
---------------------
2X = 100,200,000 (equation 3=add eqn1 to eqn2,+Y & -Y cancel)
hence
X = 50,100,000 (in eqn 3 divide both sides by 2)
Y = 49,900,000 = 100,000,000 - X (from equation 1)
(check your progress: 50,100,000 - 49,900,000 = X - Y = 200,000
which DOES NOT CONTRADICT equation 2 so OK, GREAT, GOOD...proceed)
and since
D = 54,500,000 (Votes Democrats should have gotten)
X = 50,100,000 (Votes Democrats got)
----------------------
D - X = 4,400,000 = 4.4 million
= (Votes Democrats lost on their **own**
...without any "help" from "evil"
Republicans, et al)
which is the answer given for Part 1a

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