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nick1816 how did you get this e+e-4+e-9
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e= f+4
f= e-4

Also, f=g+5

g=f-5
g=e-4-5 = e-9

As, there are only 3 candidates, e+f+g= 100 or e+e-4+e-9 = 100

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nick1816 how did you get this e+e-4+e-9
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Ravixxx
In a school election involving three candidates, Ellen got e% of the votes, Fran got f% of the vote and Gayle got g% of the votes. If \(e=f+4\), \(f=g+5\) and 226 students vote for Ellen, how many votes were cast altogether?

(A) 400
(B) 450
(C) 500
(D) 550
(E) 600

Since the total percent of the votes is 100, we can create the equation:

e + f + g = 100

Since f = e - 4 and g = f - 5 = e - 4 - 5 = e - 9, we have:

e + e - 4 + e - 9 = 100

3e -13 = 100

3e = 113

e = 113/3

Letting n = the total number of votes cast, we can create the equation:

e/100 = 226/n

(113/3)/100 = 226/n

113/300 = 226/n

226/600 = 226/n

600 = n


Answer: E
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