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: 20

Answer

Since Candidate B received the most points using the Borda count method, Candidate B wins the election.

Work Step by Step

With the Borda count method, each candidate receives 1 point for each last place vote, 2 points for each second-to-last-place vote, and so on. The candidate with the most points is declared the winner. We can find the total points for each candidate. Candidate A: 4(180) + 3(0) + 2(100 + 30) + 1(40) = 1020 points Candidate B: 4(100) + 3(180 + 40 + 30) + 2(0) + 1(0) = 1150 points Candidate C: 4(30) + 3(0) + 2(180 + 40) + 1(100) = 660 points Candidate D: 4(40) + 3(100) + 2(0) + 1(180 + 30) = 670 points Since Candidate B received the most points using the Borda count method, Candidate B wins the election.
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