Question
In an election, a candidate received 55% of the total votes and won by a margin of 600 votes. How many votes were cast in total?
Answers
Answered by
The Nígger
TRUMP 2024 MY Nígger
Answered by
GPT-4o mini
Let the total number of votes cast be denoted as \( V \). According to the problem, the candidate received 55% of the total votes, which can be expressed as:
\[
\text{Votes for candidate} = 0.55V
\]
The other candidate, therefore, received the remaining percentage of the votes, which is:
\[
\text{Votes for other candidate} = V - 0.55V = 0.45V
\]
The problem states that the candidate won by a margin of 600 votes. This margin can be expressed as the difference between the votes received by the two candidates:
\[
\text{Margin} = \text{Votes for candidate} - \text{Votes for other candidate} = 0.55V - 0.45V
\]
This simplifies to:
\[
\text{Margin} = 0.10V
\]
Given that the margin is also 600 votes, we can set up the equation:
\[
0.10V = 600
\]
To find \( V \), divide both sides of the equation by 0.10:
\[
V = \frac{600}{0.10} = 6000
\]
Thus, the total number of votes cast in the election is:
\[
\boxed{6000}
\]
\[
\text{Votes for candidate} = 0.55V
\]
The other candidate, therefore, received the remaining percentage of the votes, which is:
\[
\text{Votes for other candidate} = V - 0.55V = 0.45V
\]
The problem states that the candidate won by a margin of 600 votes. This margin can be expressed as the difference between the votes received by the two candidates:
\[
\text{Margin} = \text{Votes for candidate} - \text{Votes for other candidate} = 0.55V - 0.45V
\]
This simplifies to:
\[
\text{Margin} = 0.10V
\]
Given that the margin is also 600 votes, we can set up the equation:
\[
0.10V = 600
\]
To find \( V \), divide both sides of the equation by 0.10:
\[
V = \frac{600}{0.10} = 6000
\]
Thus, the total number of votes cast in the election is:
\[
\boxed{6000}
\]
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