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In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.?
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In an election contested by two candidates, the candidate scoring 45% ...
Total Number of Votes in the Election
To determine the total number of votes in the election, we need to analyze the given information about the candidates' vote percentages and the vote difference.
Understanding the Vote Distribution
- Candidate A (loser) received 45% of the total votes.
- Candidate B (winner) received the remaining votes, which is 55%.
Vote Difference
- The difference in votes between the two candidates is 180 votes.
Setting Up the Equation
Let the total number of votes be V.
- Votes received by Candidate A: 0.45V
- Votes received by Candidate B: 0.55V
The difference in votes can be expressed as:
- Votes received by Candidate B - Votes received by Candidate A = 180
This translates to the equation:
0.55V - 0.45V = 180
Calculating the Total Votes
- Simplifying the equation gives us:
0.10V = 180
- To find the total votes (V), divide both sides by 0.10:
V = 180 / 0.10
V = 1800
Conclusion
The total number of votes cast in the election is 1800.
This calculation shows how to derive the total number of votes using percentage differences and basic algebra.
To determine the total number of votes in the election, we need to analyze the given information about the candidates' vote percentages and the vote difference.
Understanding the Vote Distribution
- Candidate A (loser) received 45% of the total votes.
- Candidate B (winner) received the remaining votes, which is 55%.
Vote Difference
- The difference in votes between the two candidates is 180 votes.
Setting Up the Equation
Let the total number of votes be V.
- Votes received by Candidate A: 0.45V
- Votes received by Candidate B: 0.55V
The difference in votes can be expressed as:
- Votes received by Candidate B - Votes received by Candidate A = 180
This translates to the equation:
0.55V - 0.45V = 180
Calculating the Total Votes
- Simplifying the equation gives us:
0.10V = 180
- To find the total votes (V), divide both sides by 0.10:
V = 180 / 0.10
V = 1800
Conclusion
The total number of votes cast in the election is 1800.
This calculation shows how to derive the total number of votes using percentage differences and basic algebra.
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In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.?
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In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.?.
In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an election contested by two candidates, the candidate scoring 45% votes loses the election by 180 votes. Find the total number of votes.?.
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