In an election there were 2 candidates the winner poled 53% votes and won by 9600 votes find total number of votes
.53x = .47x + 9600
To find the total number of votes in the election, we need to use the information given about the percentage of votes won by the winner and the margin of victory.
Let's denote the total number of votes as "T".
We know that the winning candidate received 53% of the votes. This translates to 53% of the total number of votes being won by the winner. Mathematically, this can be expressed as:
0.53T (representing 53% of the total votes)
We also know that the winner won by a margin of 9600 votes. This means that the winning candidate received 9600 more votes than the second candidate. Mathematically, this can be expressed as:
0.53T - (0.47T + 9600) = 0.53T - 0.47T - 9600 = 9600
Simplifying the equation, we get:
0.06T = 9600
To find T, we divide both sides of the equation by 0.06:
T = 9600 / 0.06 = 160,000
Therefore, the total number of votes in the election was 160,000.