The ratio of votes recieved by three candidates in an election is 1:2:3. If the winning candidate recieved 210 votes, how many people in total voted in the election?
Let's assume the number of votes received by the first candidate is x.
According to the given ratio, the second candidate received 2x votes, and the third candidate received 3x votes.
Therefore, the total number of votes is:
x + 2x + 3x = 210 (since the winning candidate received 210 votes)
Simplifying the equation:
6x = 210
Dividing both sides by 6:
x = 35
Now, we can calculate the total number of votes:
x + 2x + 3x = 35 + 70 + 105 = 210
Therefore, the total number of people who voted in the election is 210.
To find out how many people in total voted in the election, we need to determine the total number of votes cast for each candidate.
Let's assume that the ratio of votes received by the three candidates is 1x:2x:3x, where x is a common multiplier.
We are given that the winning candidate received 210 votes. Since the winning candidate had three times the number of votes as the first candidate (3x), we can set up the following equation:
3x = 210
By dividing both sides of the equation by 3, we can find the value of x:
x = 210 / 3
x = 70
Now that we have the value of x, we can calculate the number of votes received by each candidate:
First candidate: 1x = 1 * 70 = 70 votes
Second candidate: 2x = 2 * 70 = 140 votes
Third candidate: 3x = 3 * 70 = 210 votes
To determine the total number of votes cast, we add up the votes received by each candidate:
Total votes = 70 + 140 + 210 = 420 votes
Therefore, a total of 420 people voted in the election.