Question

In a recent election, there were six candidates and 4300 total votes. The circle graph below summarizes the votes by candidate. The central angle for the Mendez slice is 82.8°. What percentage of the votes did Mendez get? Do not round.

Answer 1

Mendez got 989 votes

Mendez secured 23% of the votes.

Explanation:

Please refer to the attached circle graph,

The circle graph summarizes the votes secured by 6 candidates.

The central angle for the Mendez slice is 82.8° and the whole circle is 360°.

There are total 4300 votes and we want to find out the percentage of the votes secured by Mendez.

Let X be the number of votes that Mendez got.

`(X)/(4300) = (82.8)/(360) \\\\X = (82.8)/(360) (4300) \\\\X = 989\\\\`

So Mendez got 989 votes.

Let us now find out the percentage of votes

`Percentage = (989)/(4300) * 100 \\\\Percentage = 23 \%`

Therefore, Mendez secured 23% of the votes.