The student government is holding elections for president. There are 4 candidates (labeled A, B, C, and D for convenience). The preference for the election is as follows:Candidates Ranking Ranking Ranking Ranking Ranking RankingA 4 3 2 1 1 3B 3 1 3 3 4 2C 1 2 4 2 3 4D 2 4 1 4 2 1# of votes 120 50 40 90 60 100Questions:How many voters voted in this election?How many voters are needed for a majority? For a plurality?
Question
The student government is holding elections for president. There are 4 candidates (labeled A, B, C, and D for convenience). The preference for the election is as follows:Candidates Ranking Ranking Ranking Ranking Ranking RankingA 4 3 2 1 1 3B 3 1 3 3 4 2C 1 2 4 2 3 4D 2 4 1 4 2 1# of votes 120 50 40 90 60 100Questions:How many voters voted in this election?How many voters are needed for a majority? For a plurality?
Solution
The number of voters who voted in this election is the sum of the votes for each candidate. Adding up the number of votes for each candidate, we get:
Candidate A: 120 votes Candidate B: 50 votes Candidate C: 40 votes Candidate D: 90 votes
To find the total number of voters, we add up these vote counts:
120 + 50 + 40 + 90 = 300
Therefore, there were 300 voters who voted in this election.
To determine the number of voters needed for a majority, we need to calculate more than half of the total number of voters. Since there were 300 voters in total, a majority would be more than half of 300, which is:
300 / 2 = 150
Therefore, 150 voters are needed for a majority.
For a plurality, we need to find the candidate with the highest number of votes. In this case, Candidate A received the highest number of votes with 120 votes. Therefore, for a plurality, the number of voters needed is 120.
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The student government is holding elections for president. There are 4 candidates (labeled A, B, C, and D for convenience). The preference for the election is as follows:Candidates Ranking Ranking Ranking Ranking Ranking RankingA 4 3 2 1 1 3B 3 1 3 3 4 2C 1 2 4 2 3 4D 2 4 1 4 2 1# of votes 120 50 40 90 60 100Questions:How many voters voted in this election?How many voters are needed for a majority? For a plurality?
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