Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - Chapter Summary, Review, and Test - Review Exercises: 17

Answer

Using the plurality-with-elimination method, Candidate B wins the election.

Work Step by Step

With the plurality-with-elimination method, the candidate with the fewest number of first-place votes is eliminated in each round. After that candidate is eliminated, the other candidates ranked below that candidate on each ballot move up one spot. The rounds continue in this way until only one candidate remains, and this candidate is declared the winner. In round 1, we can count the number of first-place votes for each candidate. Candidate A: 700 Candidate B: 1500 Candidate C: 300 In round 1, Candidate C has the fewest number of first-place votes, so Candidate C is eliminated. After Candidate C is eliminated, the other candidates ranked below Candidate C on each ballot move up one spot. In round 2, we can count the number of first-place votes for each candidate. Candidate A: 700 + 300 = 1000 Candidate B: 1500 In round 2, Candidate A has the fewest number of first-place votes, so Candidate A is eliminated. After Candidate A is eliminated, Candidate B is the only candidate remaining, so Candidate B is declared the winner. Using the plurality-with-elimination method, Candidate B wins the election.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.