Question

Runoffs and references Ranking1. the 2020 Georgia Senate general election had the following result:

Answer 1

To win the election, David Perdue needs to secure a majority of the votes cast in the runoff. Based on the given information, approximately 239,450 votes from Shane T. Hazel's supporters need to switch to David Perdue for him to win.

Step-by-step explanation:

To win the election, David Perdue needs to secure a majority of the votes cast in the runoff. In the 2020 Georgia Senate General Election, David Perdue received 47.9% of the votes, while Shane T. Hazel received 2.4% of the votes. This means that David Perdue needs to increase his share of the votes to more than 50%.

To calculate the number of votes David Perdue needs to win, we need to determine the total number of votes cast in the runoff. According to the given information, a total of 4,952,175 votes were cast in the 2020 Georgia Senate General Election.

To find out how many of Shane T. Hazel's voters need to switch to David Perdue for him to win, we subtract 50% of the total votes from David Perdue's initial share and divide the result by the percentage of votes obtained by Shane T. Hazel:

(50% x 4,952,175 - 47.9% x 4,952,175) / 2.4%

Simplifying the expression, we get:

(0.5 x 4,952,175 - 0.479 x 4,952,175) / 0.024

This gives us an answer of approximately 239,450 votes. Therefore, Shane T. Hazel's voters would need to switch to David Perdue for him to win in the runoff election.

Answer 2

In the state of Georgia, elections must be won with 50% of the electorate plus one vote. Therefore, the first step is to calculate the number of electors needed to win.

The total number of electors is 4,952,175

Therefore, the number of votes needed to win the election would be:

`\begin{gathered} 4952175*50\text{ \%} \\ 2476088 \end{gathered}`

The number of votes David Perdue should have would be a total of 2,462,588 votes.

Now let's calculate the difference in votes needed

`\begin{gathered} 2,476,088-2,462,588 \\ 13500 \end{gathered}`

13,500 Shane votes must move to David Perdue

In this scenario the results would be:

David Perdue: 2,476,088 (50%)

Jon Ossoff: 2,374,519 (47.9%)

Shane Hazel: 101,539 (2.1%)