in an election .there were only two candidates. the winner was polled 53% votes and won by 9600 votes. find the total no. of votes polled.
To find the total number of votes polled in the election, we can follow these steps:
Step 1: Determine the percentage of votes received by the losing candidate.
Since there were only two candidates, the losing candidate must have received 100% - 53% = 47% of the votes.
Step 2: Calculate the difference in percentage of votes between the winning and losing candidates.
The winning candidate won by 53% - 47% = 6% of the votes.
Step 3: Find the number of votes corresponding to a 1% difference.
To do this, divide the difference in percentage (6%) by the difference in votes (9600). This will give us the number of votes that corresponds to a 1% difference.
Votes for 1% difference = 9600 / 6 = 1600 votes
Step 4: Calculate the total number of votes polled.
To find the total number of votes polled, we can divide the number of votes for a 1% difference by the winning candidate's percentage (53%).
Total Votes = (Votes for 1% difference) / 0.53
Total Votes = 1600 / 0.53
Total Votes ≈ 3018.87
Therefore, the total number of votes polled in the election was approximately 3019 votes.
(.53-.47)x = 9600
Solve for x.