Question
In a local election, four nominees each received a portion of the votes, as shown in the table.
Nominee Voting Portion
Mr. Douglas
Mrs. Maury 26%
Mr. Hill
Mrs. Jackson 0.21
Put the nominees in order of how many votes they received, beginning with the winner.
Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill
Mr. Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas
Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas
Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas
Nominee Voting Portion
Mr. Douglas
Mrs. Maury 26%
Mr. Hill
Mrs. Jackson 0.21
Put the nominees in order of how many votes they received, beginning with the winner.
Mrs. Jackson, Mrs. Maury, Mr. Douglas, Mr. Hill
Mr. Hill, Mrs. Jackson, Mrs. Maury, Mr. Douglas
Mr. Hill, Mrs. Maury, Mrs. Jackson, Mr. Douglas
Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas
Answers
GPT-4o mini
To determine the order of the nominees based on the votes they received, we need to convert all the values into a uniform format.
The voting portion for Mrs. Maury is given as 26%, which is equivalent to 0.26 in decimal.
For Mrs. Jackson, we have her votes as 0.21.
We don't have the voting portions for Mr. Douglas and Mr. Hill specified. However, since the total of all voted portions must equal 100%, we can infer their vote shares through the combined information:
Let Mr. Douglas's portion be \(D\) and Mr. Hill's portion be \(H\).
The total can be expressed as:
\[
D + H + 0.26 + 0.21 = 1
\]
Combining the known values:
\[
D + H + 0.47 = 1
\]
\[
D + H = 1 - 0.47
\]
\[
D + H = 0.53
\]
Now, since we don't know the individual votes of Mr. Douglas and Mr. Hill, we can't determine who received more votes between them directly from the data provided. Both D and H must sum up to 0.53, but we have no specific voting portion for either.
However, since Mrs. Maury (0.26) and Mrs. Jackson (0.21) are both known, we can conclude that they received more votes than whoever received less than 0.21 from the other two nominees.
If we assume that Mr. Hill and Mr. Douglas must collectively receive 0.53, the only way to arrange the nominees in order with Mrs. Maury always being the highest is given the known votes:
- Mrs. Maury: 0.26
- Mrs. Jackson: 0.21
- This leaves Mr. Hill and Mr. Douglas, whose votes combined equal to 0.53 and are therefore greater than 0.26 and 0.21.
The possible arrangements can then include Mrs. Maury on top and will arrange Mr. Douglas and Mr. Hill in various possible ways below that.
Given that Mrs. Maury has the highest votes, the possible correct order from the options you presented can be:
1. Mrs. Maury
2. Mr. Hill
3. Mrs. Jackson
4. Mr. Douglas
Thus, the answer would be:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas.** However, because that's not an option in your list, we can conclude:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas** is correct in delineation.
If we just rearranged those who are specified in the options you provided, the closest order provided which has Mrs. Maury on top is:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas** (this is not an exact option, so please assess your options as provided).
Pick Mrs. Maury in the top most position and analyze the combinations further based on only the known votes.
The voting portion for Mrs. Maury is given as 26%, which is equivalent to 0.26 in decimal.
For Mrs. Jackson, we have her votes as 0.21.
We don't have the voting portions for Mr. Douglas and Mr. Hill specified. However, since the total of all voted portions must equal 100%, we can infer their vote shares through the combined information:
Let Mr. Douglas's portion be \(D\) and Mr. Hill's portion be \(H\).
The total can be expressed as:
\[
D + H + 0.26 + 0.21 = 1
\]
Combining the known values:
\[
D + H + 0.47 = 1
\]
\[
D + H = 1 - 0.47
\]
\[
D + H = 0.53
\]
Now, since we don't know the individual votes of Mr. Douglas and Mr. Hill, we can't determine who received more votes between them directly from the data provided. Both D and H must sum up to 0.53, but we have no specific voting portion for either.
However, since Mrs. Maury (0.26) and Mrs. Jackson (0.21) are both known, we can conclude that they received more votes than whoever received less than 0.21 from the other two nominees.
If we assume that Mr. Hill and Mr. Douglas must collectively receive 0.53, the only way to arrange the nominees in order with Mrs. Maury always being the highest is given the known votes:
- Mrs. Maury: 0.26
- Mrs. Jackson: 0.21
- This leaves Mr. Hill and Mr. Douglas, whose votes combined equal to 0.53 and are therefore greater than 0.26 and 0.21.
The possible arrangements can then include Mrs. Maury on top and will arrange Mr. Douglas and Mr. Hill in various possible ways below that.
Given that Mrs. Maury has the highest votes, the possible correct order from the options you presented can be:
1. Mrs. Maury
2. Mr. Hill
3. Mrs. Jackson
4. Mr. Douglas
Thus, the answer would be:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas.** However, because that's not an option in your list, we can conclude:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas** is correct in delineation.
If we just rearranged those who are specified in the options you provided, the closest order provided which has Mrs. Maury on top is:
**Mrs. Maury, Mr. Hill, Mrs. Jackson, Mr. Douglas** (this is not an exact option, so please assess your options as provided).
Pick Mrs. Maury in the top most position and analyze the combinations further based on only the known votes.