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Bunuel
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In the first round of the elections, the only two candidates got exact 08 Sep 2023, 01:30
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Difficulty:

55% (hard)

Question Stats:

63% (02:13) correct 37% (02:17) wrong based on 113 sessions

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In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 15,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round?

A. 15,000
B. 25,000
C. 40,000
D. 50,000
E. 60,000



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D
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In the first round of the elections, the only two candidates got exact 09 Sep 2023, 12:19
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Bunuel
In the first round of the elections, the only two candidates got exactly the same number of votes. During the second round, 15,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides. If, in the second round, the winning candidate got four times as many votes as the other candidate, how many people have voted in each round?

A. 15,000
B. 25,000
C. 40,000
D. 50,000
E. 60,000
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Round 1:

Let's assume that both candidates, candidate 1 and candidate 2, got \(x\) number of votes

Round 2:

During the second round, 15,000 votes switched from the first candidate to the second one. The total number of votes remained the same in both rounds, and no other votes switched sides.

Votes received by Candidate 1 = \(x - 15000\)

Votes received by Candidate 2 = \(x + 15000\)

Given

\(x + 15000 = 4(x-15000)\)

\(3x = 5 * 15000\)

\(x =\frac{ 5 * 15000}{3}\)

\(x =25000\)

Total number of people who voted in each round = \(2*x = 2 * 25,000 = 50,000\)

Attachment:
Screenshot 2023-09-10 004402.jpg
Screenshot 2023-09-10 004402.jpg [ 32.66 KiB | Viewed 1456 times ]

Option D
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Bunuel
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