In a town election, 8% of the voters on the list did not vote, and 5% of the votes cast were invalid. There were only two candidates. The winner got 55% of the valid votes and won by 17,480 votes. How many voters were on the list?

Explanation

1. 01

   Margin = $55\% - 45\% = 10\%$ of valid votes, so valid votes = $17{,}480 \times 10 = 1{,}74{,}800$.

2. 02

   Valid votes = 95% of votes cast, so votes cast = $\frac{174800}{0.95} = 1{,}84{,}000$.

3. 03

   Votes cast = 92% of the list, so voters on the list = $\frac{184000}{0.92} = 2{,}00{,}000$.