## Thinking Mathematically (6th Edition)

Published by Pearson

# Chapter 13 - Voting and Apportionment - Chapter 13 Test: 7

#### Answer

Candidate A is selected as the winner using the plurality-with-elimination method.

#### 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: 1200 Candidate B: 900 + 600 = 1500 Candidate C: 900 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: 1200 + 900 = 2100 Candidate B: 900 + 600 = 1500 In round 2, Candidate B has the fewest number of first-place votes, so Candidate B is eliminated. After Candidate B is eliminated, Candidate A is the only candidate remaining, so Candidate A is declared the winner. Candidate A is selected as the winner using the plurality-with-elimination method.

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.