In an election, 75% of eligible voters participated. Of these, 4% were invalid votes. If a winning candidate got 13,500 votes which was 55% of valid votes, what was the total number of eligible voters(to the nearest integer)?

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1. Let total eligible voters be $N$. Voters who voted = $0.75N$.  
2. Valid votes = $96\%$ of those = $0.96	imes0.75N=0.72N$.  
3. Winner got $13{,}500$ which is $55\%$ of valid votes, so valid votes = $13500/0.55$.  
4. Solve $0.72N=13500/0.55$, so $N=13500/(0.55	imes0.72)=13500/0.396=34090.909\dots\approx34091$.  
FINAL_ANSWER: c

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