An election featured two candidates, with the victor capturing 62% of the ballots and triumphing by a margin of 288 votes. Calculate the total number of votes secured by the winning candidate?
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Answer: B. 744
Explanation
The winning candidate captured sixty two percent of the ballots, leaving thirty eight percent for the opponent. The percentage margin between winner and loser is twenty four percent, which corresponds to two hundred eighty eight votes. Dividing two hundred eighty eight by twenty four establishes that one percent equals twelve votes, yielding seven hundred forty four total winner votes. Election margins represent the numerical difference in votes received between the winning candidate and runners up. Percentage point differences between candidates directly reflect the distribution of all cast ballots in an election. Proportional scaling allows unknown total vote counts and individual candidate shares to be determined from vote margins.
Four hundred fifty six underestimates the winner vote count by miscalculating the proportional value of one percent. Nine hundred twelve overestimates the winner vote total by applying an incorrect multiplier to the vote margin. Twelve hundred represents the total number of votes cast in the entire election rather than the winner share.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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