In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/3 of the absentee ballets were thrown out and 1/4 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?a)2,000b)3,000c)6,000d)8,000e)9,000Correct answer is option 'C'. Can you explain this answer?

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In a recent head-to-head run-off election, 12,000 absentee ballets were cast. 1/3 of the absentee ballets were thrown out and 1/4 of the remaining absentee ballets were cast for Candidate A. How many absentee votes did Candidate B receive?

a)
2,000
b)
3,000
c)
6,000
d)
8,000
e)
9,000

Correct answer is option 'C'. Can you explain this answer?

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Most Upvoted Answer

In a recent head-to-head run-off election, 12,000 absentee ballets wer...

Given information:
- 12,000 absentee ballots were cast in a head-to-head run-off election.
- 1/3 of the absentee ballots were thrown out.
- 1/4 of the remaining absentee ballots were cast for Candidate A.

To find:
- The number of absentee votes Candidate B received.

Solution:
1. Calculate the number of absentee ballots that were thrown out:
- 1/3 of the 12,000 absentee ballots were thrown out.
- (1/3) * 12,000 = 4,000 absentee ballots were thrown out.

2. Calculate the number of remaining absentee ballots:
- Subtract the number of ballots thrown out from the total number of absentee ballots.
- 12,000 - 4,000 = 8,000 absentee ballots remain.

3. Calculate the number of absentee ballots cast for Candidate A:
- 1/4 of the remaining 8,000 absentee ballots were cast for Candidate A.
- (1/4) * 8,000 = 2,000 absentee ballots were cast for Candidate A.

4. Calculate the number of absentee ballots cast for Candidate B:
- Subtract the number of absentee ballots cast for Candidate A from the number of remaining absentee ballots.
- 8,000 - 2,000 = 6,000 absentee ballots were cast for Candidate B.

Therefore, Candidate B received 6,000 absentee votes. Hence, option C (6,000) is the correct answer.

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Community Answer

In a recent head-to-head run-off election, 12,000 absentee ballets wer...

Starting with 12,000 ballets, 1/3 were thrown out, leaving 2/3 still valid:
12,000 x (2/3) = 8,000 valid ballets.
Of those valid ballets, since 1/4 went to A, the other 3/4 must have gone to B since this is a head-to-head run-off election.
8,000 x (3/4) = 6,000 valid ballets for Candidate B.
The correct answer is C.

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