Question

An election is held among three candidates (A,B, and C) using Borda count method. There are 25 voters. If candidate A received 47 points and candidate B received 39 points, how many points did candidate C receive?
A) 39
B) 64
C) 89
D) Cannot be determined from the information given.
E) none of these

Answer 1

See I know the answer and it is B) the question I pose is how 150 is the total for all the votes?

Answer 2

Isn't Borda a rank between x candidates? Every voter would rank candidate A, B and C and then given the rank distribution, the winner/runner-up would be decided? Therefore, we can have more than 100 points. More or less this:
Rank juices from 1-3:
Voter 1
Orange 3
Apple 1
Grape 2
Voter 2
Orange 2
Apple 3
Grape 1
So Grape = 3, Apple = 4 and Orange = 5?
I am not sure tho.

Answer 3

And of course, this is a simplistic example. The counting method is more intricate.

Answer 4

The Borda Count Method For the Borda Count Method, each candidate (or alternative) gets 1 point for each last place vote received, 2 points for each next-to-last point vote, etc., all the way up to N points for each first place vote (where N is the number of candidates/alternatives). The candidate with the largest point total wins the election.
For instance, in a 4 candidate election, each 4th place vote is worth 1 point, each 3rd place vote is worth 2 points, each 2nd place vote is worth 3 points, and each 1st place vote is worth 4 points. The Borda Count Method, or some variation of it, is often used for things like polls which rank sporting teams or academic institutions. http://www.ctl.ua.edu/math103/voting/borda.htm

Answer 5

Right I understand that, my question is how is the votes total equal to 150?

Answer 6

There are 25 voters. Each votes or ranks 3 times with a "3," "2," or "1" because there are three candidates.
Therefore, 25 times 3 + 25 times 2 + 25 times 1 = 150 which is the sum of the rankings.
Or, thinking about each voter as having 6 (3,2,1) points to distribute among the three candidates.6 times the 25 voters is 150.
150 - 47 - 39 = 64 for candiate B.