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Question:

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 11,713
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: \(\frac{\mathrm{53} }{\mathrm{100} } \times 22100 = 0.53 \times 22100 = 11713\)