document.write( "Question 1170871: Five candidates, Ruben, Bong, Angel, Louie and Melvin were nominated for president in the College
\n" ); document.write( "Student Council. After the polls close, ranked ballots were tallied, and the results are summarized
\n" ); document.write( "below. Determine the winner and what percent of the votes did the winner receive?\r
\n" ); document.write( "\n" ); document.write( "Rankings
\n" ); document.write( "Ruben 1 2 5 5 2 3 4
\n" ); document.write( "Bong 2 3 2 4 3 2 5
\n" ); document.write( "Angel 4 4 1 2 1 1 3
\n" ); document.write( "Louie 3 1 3 3 4 5 2
\n" ); document.write( "Melvin 5 5 4 1 5 4 1
\n" ); document.write( "Number of votes 10 7 12 16 11 4 10 \n" ); document.write( "
Algebra.Com's Answer #851075 by CPhill(2189)\"\" \"About 
You can put this solution on YOUR website!
Let's analyze the voting results using the Borda Count method, as it's often used with ranked ballots.\r
\n" ); document.write( "\n" ); document.write( "**1. Assign Points**\r
\n" ); document.write( "\n" ); document.write( "* For each ballot, assign points based on ranking:
\n" ); document.write( " * 1st place: 5 points
\n" ); document.write( " * 2nd place: 4 points
\n" ); document.write( " * 3rd place: 3 points
\n" ); document.write( " * 4th place: 2 points
\n" ); document.write( " * 5th place: 1 point\r
\n" ); document.write( "\n" ); document.write( "**2. Calculate Total Points for Each Candidate**\r
\n" ); document.write( "\n" ); document.write( "* **Ruben:**
\n" ); document.write( " * (1st place, 10 votes): 5 * 10 = 50
\n" ); document.write( " * (2nd place, 7 votes): 4 * 7 = 28
\n" ); document.write( " * (5th place, 12 votes): 1 * 12 = 12
\n" ); document.write( " * (5th place, 16 votes): 1 * 16 = 16
\n" ); document.write( " * (2nd place, 11 votes): 4 * 11 = 44
\n" ); document.write( " * (3rd place, 4 votes): 3 * 4 = 12
\n" ); document.write( " * (4th place, 10 votes): 2 * 10 = 20
\n" ); document.write( " * Total: 50 + 28 + 12 + 16 + 44 + 12 + 20 = 182\r
\n" ); document.write( "\n" ); document.write( "* **Bong:**
\n" ); document.write( " * (2nd place, 10 votes): 4 * 10 = 40
\n" ); document.write( " * (3rd place, 7 votes): 3 * 7 = 21
\n" ); document.write( " * (2nd place, 12 votes): 4 * 12 = 48
\n" ); document.write( " * (4th place, 16 votes): 2 * 16 = 32
\n" ); document.write( " * (3rd place, 11 votes): 3 * 11 = 33
\n" ); document.write( " * (2nd place, 4 votes): 4 * 4 = 16
\n" ); document.write( " * (5th place, 10 votes): 1 * 10 = 10
\n" ); document.write( " * Total: 40 + 21 + 48 + 32 + 33 + 16 + 10 = 200\r
\n" ); document.write( "\n" ); document.write( "* **Angel:**
\n" ); document.write( " * (4th place, 10 votes): 2 * 10 = 20
\n" ); document.write( " * (4th place, 7 votes): 2 * 7 = 14
\n" ); document.write( " * (1st place, 12 votes): 5 * 12 = 60
\n" ); document.write( " * (2nd place, 16 votes): 4 * 16 = 64
\n" ); document.write( " * (1st place, 11 votes): 5 * 11 = 55
\n" ); document.write( " * (1st place, 4 votes): 5 * 4 = 20
\n" ); document.write( " * (3rd place, 10 votes): 3 * 10 = 30
\n" ); document.write( " * Total: 20 + 14 + 60 + 64 + 55 + 20 + 30 = 263\r
\n" ); document.write( "\n" ); document.write( "* **Louie:**
\n" ); document.write( " * (3rd place, 10 votes): 3 * 10 = 30
\n" ); document.write( " * (1st place, 7 votes): 5 * 7 = 35
\n" ); document.write( " * (3rd place, 12 votes): 3 * 12 = 36
\n" ); document.write( " * (3rd place, 16 votes): 3 * 16 = 48
\n" ); document.write( " * (4th place, 11 votes): 2 * 11 = 22
\n" ); document.write( " * (5th place, 4 votes): 1 * 4 = 4
\n" ); document.write( " * (2nd place, 10 votes): 4 * 10 = 40
\n" ); document.write( " * Total: 30 + 35 + 36 + 48 + 22 + 4 + 40 = 215\r
\n" ); document.write( "\n" ); document.write( "* **Melvin:**
\n" ); document.write( " * (5th place, 10 votes): 1 * 10 = 10
\n" ); document.write( " * (5th place, 7 votes): 1 * 7 = 7
\n" ); document.write( " * (4th place, 12 votes): 2 * 12 = 24
\n" ); document.write( " * (1st place, 16 votes): 5 * 16 = 80
\n" ); document.write( " * (5th place, 11 votes): 1 * 11 = 11
\n" ); document.write( " * (4th place, 4 votes): 2 * 4 = 8
\n" ); document.write( " * (1st place, 10 votes): 5 * 10 = 50
\n" ); document.write( " * Total: 10 + 7 + 24 + 80 + 11 + 8 + 50 = 190\r
\n" ); document.write( "\n" ); document.write( "**3. Determine the Winner**\r
\n" ); document.write( "\n" ); document.write( "* Angel has the highest total points (263).\r
\n" ); document.write( "\n" ); document.write( "**4. Calculate Total Votes**\r
\n" ); document.write( "\n" ); document.write( "* Total votes: 10 + 7 + 12 + 16 + 11 + 4 + 10 = 70\r
\n" ); document.write( "\n" ); document.write( "**5. Calculate Percentage of Votes for Angel**\r
\n" ); document.write( "\n" ); document.write( "* Angel received the most points, so we need to calculate the percentage of total points Angel recieved compared to the total possible points.
\n" ); document.write( "* Total possible points: 5 points * 70 ballots = 350
\n" ); document.write( "* Angel's percentage: (263 / 350) * 100% ≈ 75.14%\r
\n" ); document.write( "\n" ); document.write( "**Winner:** Angel is the winner.\r
\n" ); document.write( "\n" ); document.write( "**Percentage:** Angel received approximately 75.14% of the possible points.
\n" ); document.write( " \n" ); document.write( "
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