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?

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?

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:

\(\frac{\mathrm{53} }{\mathrm{100} } \times 22100 = 0.53 \times 22100 = 11713\)

\( \frac{\mathrm{85} }{\mathrm{100}} \times 26000 = 0.85 \times 26000 = 22100\)

The mayor got 53% of the votes cast which is:

\(\frac{\mathrm{53} }{\mathrm{100} } \times 22100 = 0.53 \times 22100 = 11713\)