Question

In an election between two candidates 25% of the voters did not cast their votes a candidate scored 40% of the votes polled and was defeated by 900 votes.find the total number of voters.​

Answer 1

2000

Explanation:

First, we have to find how many votes there were.

Since the losing candidate had 40% of the votes, that means the winning candidate had 60% of the votes.

Let x = amount of votes for losing candidate

x/40 = 900/60

Cross multiply

60x = 36,000

Divide both sides by 60

x = 600

The losing candidate had 600 votes

Add that number to 900 and we find the total amount of votes, which is 1500.

This number is the people who voted.

Now we have to find how many did not vote.

Since 25% of people did not vote, that makes people who did vote 75%

Let y = amount of voters who did not vote

y/25 = 1500/75

75y = 37,500

Divide both sides by 75

75y/75 = 37,500/75

y = 500

This means that 500 voters did not cast a vote.

Add that number to 1500 and we get that the total amount of voters is 2000