An election was held using the following variation of the Borda count method: 7 points

Chapter 1, Problem 30

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An election was held using the following variation of the Borda count method: 7 points for first-place, 4 points for second, 3 points for third, 2 points for fourth, and 1 point for fifth. There were five candidates (A, B, C, D, and E) and 30 voters. When the points were tallied A had 84 points, B had 65 points, C had 123 points, and D had 107 points. Find how many points E had and give the ranking of the candidates. (Hint: Figure out how many points are packed in each ballot.)

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