Question

In a recent election, there were six candidates and 5100 total votes. The circle graph below summarizes the votes by candidate.

The central angle for the DeWitt slice is 25.2 degrees . How many of the votes did DeWitt get?

Answer 1

DeWitt received approximately 357 votes in the election, calculated by using the proportion of the central angle for DeWitt's slice of the pie chart to the total votes.

Step-by-step explanation:

To determine the number of votes DeWitt received in the election, we can use the circle graph's central angle for DeWitt's slice in relation to the total number of votes. The circle represents 100% of the votes, or 360 degrees. Therefore, we can set up a proportion where the angle for DeWitt corresponds to the amount of votes DeWitt received.

The formula for this calculation would be: votes for DeWitt = (central angle for DeWitt / total angle of circle) × total number of votes.

Using the given information: votes for DeWitt = (25.2° / 360°) × 5100 votes.

Now let's do the math:

1. Divide the central angle for DeWitt by the total angle of the circle: 25.2° / 360° = 0.07.
2. Multiply this fraction by the total number of votes to find the number of votes for DeWitt: 0.07 × 5100 ≈ 357.

Therefore, DeWitt received approximately 357 votes.

Answer 2

25.2:360 :: x:5100 or 25.2 x ------- = ------- 360 5100
then cross multiply,
360x=5100 * 25.2