A Mayor won an election with \(53\%\) of the popular vote. The town's population is 26,000 and \(85\%\) of the town's people voted. How many votes did the Mayor receive to win?
11,713
19,669
15,912
17,680
Detailed Explanation
If 85% of the town's 26,000 voters cast ballots the number of votes cast is:
\( \frac{\mathrm{85} }{\mathrm{100}} \times 26000 = 0.85 \times 26000 = 22100\)
The mayor got 53% of the votes cast which is:
\(\frac{\mathrm{53} }{\mathrm{100} } \times 22100 = 0.53 \times 22100 = 11713\)
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