Math Problem Statement

How many voters ranked Scherita as their first, second, and third choices, and what is Scherita's Borda count based on the given votes?

Solution

From the image provided, the task is to calculate the Borda count for Scherita based on the ranking votes:

Borda Count Formula:

Borda Count=3×(First Choice Votes)+2×(Second Choice Votes)+1×(Third Choice Votes)\text{Borda Count} = 3 \times (\text{First Choice Votes}) + 2 \times (\text{Second Choice Votes}) + 1 \times (\text{Third Choice Votes})

Given Values:

  • First Choice Votes: 3131
  • Second Choice Votes: 3030
  • Third Choice Votes: 2323

Calculation:

Borda Count=3×31+2×30+1×23\text{Borda Count} = 3 \times 31 + 2 \times 30 + 1 \times 23 =93+60+23= 93 + 60 + 23 =176= 176

Final Answer:

Scherita's Borda count is 176.

Would you like more details or clarification on how the Borda count works?


Related Questions:

  1. What is the purpose of using a Borda count in decision-making processes?
  2. How do the weightings in a Borda count affect the outcome?
  3. Can you provide an example where Borda count rankings differ from majority vote results?
  4. What are the advantages and disadvantages of the Borda count method?
  5. How does the Borda count compare to other voting systems like Plurality or Condorcet?

Tip:

The Borda count is particularly useful when you want to find a consensus winner rather than the one with just the most first-choice votes.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Voting Systems
Weighted Points Calculation

Formulas

Borda Count = 3 × (First Choice Votes) + 2 × (Second Choice Votes) + 1 × (Third Choice Votes)

Theorems

Borda Count Method

Suitable Grade Level

Grades 8-10