A few days ago
1401 votes were cast, if 30 voters switched from winner to loser, loser would win by 5, how many votes????????
In a two-candidate election 1401 votes were cast. If 30 voters had switched their votes from the winner to the loser, the loser would have won by 5 votes. How many votes did each candidate actually receive?
Explain clearly please
Top 1 Answers
A few days ago
Favorite Answer
Let w be the number of votes the winner received.
Then the loser received 1401 – w.
If 30, voters switched from winner to loser, then the winner would have w – 30 and the loser 1401 – w + 30 = 1431 – w.
Therefore:
1431 – w = w – 30 + 5
1431 – w = w – 25
Adding w to each side:
1431 = 2w – 25
Adding 25 to each side:
1456 = 2w
Dividing by 2:
w = 728.
The winner has 728, and the loser 1401 – 728 = 673.
Check:
After the switch, winner has 728 – 30 = 698, and loser has 703.
3
- Academic Writing
- Accounting
- Anthropology
- Article
- Blog
- Business
- Career
- Case Study
- Critical Thinking
- Culture
- Dissertation
- Education
- Education Questions
- Essay Tips
- Essay Writing
- Finance
- Free Essay Samples
- Free Essay Templates
- Free Essay Topics
- Health
- History
- Human Resources
- Law
- Literature
- Management
- Marketing
- Nursing
- other
- Politics
- Problem Solving
- Psychology
- Report
- Research Paper
- Review Writing
- Social Issues
- Speech Writing
- Term Paper
- Thesis Writing
- Writing Styles