Four candidates running for mayor receive votes as follows:

Ito: 16,032; Johnson: 36,072; Kennedy: 8,016; Lieberman: 12,024

How do I find the majority, if there is one?

Thanks?

add up the total votes. Then see whether any candidate gets more than half of them.

Or, does any candidate get more votes than all the others combined?

It looks pretty close, since 16+8+12 = 36

So, it'll be the odd votes that make the difference.

To find out if there is a majority in this election, we need to calculate the total number of votes and determine if any candidate received more than 50% of the votes.

Step 1: Calculate the total number of votes by adding up the number of votes received by each candidate.
Total votes = Ito + Johnson + Kennedy + Lieberman
Total votes = 16,032 + 36,072 + 8,016 + 12,024

Step 2: Find the percentage of votes received by each candidate.
Ito's percentage = (Votes for Ito / Total votes) * 100%
Johnson's percentage = (Votes for Johnson / Total votes) * 100%
Kennedy's percentage = (Votes for Kennedy / Total votes) * 100%
Lieberman's percentage = (Votes for Lieberman / Total votes) * 100%

Step 3: Identify the candidate with the highest percentage of votes.

Step 4: Check if the highest percentage is greater than 50%.

If the candidate with the highest percentage has more than 50% of the votes, then that candidate has a majority. If no candidate has more than 50% of the votes, there is no majority.

Let's calculate it:

Total votes = 16,032 + 36,072 + 8,016 + 12,024 = 72,144

Ito's percentage = (16,032 / 72,144) * 100% ≈ 22.2%
Johnson's percentage = (36,072 / 72,144) * 100% ≈ 49.9%
Kennedy's percentage = (8,016 / 72,144) * 100% ≈ 11.1%
Lieberman's percentage = (12,024 / 72,144) * 100% ≈ 16.6%

Johnson received the highest percentage of votes, approximately 49.9%. Since this is less than 50%, there is no majority in this election.

Hope this helps!