Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - Chapter 13 Test: 9

Answer

Since Candidate A received the most points using the Borda count method, Candidate A is the winner.

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(240) + 3(60) + 2(0) + 1(160) = 1300 points Candidate B: 4(0) + 3(240 + 160) + 2(0) + 1(60) = 1260 points Candidate C: 4(160) + 3(0) + 2(240 + 60) + 1(0) = 1240 points Candidate D: 4(60) + 3(0) + 2(160) + 1(240) = 800 points Since Candidate A received the most points using the Borda count method, Candidate A is the winner.
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