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13 Mar 2026, 03:04
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
57% (02:46) correct
43%
(03:30)
wrong
based on 21
sessions
History
Date
Time
Result
Not Attempted Yet
Analysts expected that 70% of Dorthwood’s eligible voters would vote in a mayoral election and that the leading candidate would receive 45% of the votes cast. In the actual election, the voter participation rate was 5 percentage points higher than expected , and the leading candidate received half of the votes cast. As a result, she received 19,800 more votes than analysts had expected. If 60% of Dorthwood’s residents are eligible voters, how many residents does Dorthwood have?
A. 330,000
B. 450,000
C. 528,000
D. 550,000
E. 629,000
A. 330,000
B. 450,000
C. 528,000
D. 550,000
E. 629,000
13 Mar 2026, 05:28
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kevincan
Let the total Dorthworth eligible voters be 100x.
Analyst prediction:
70%*(100x) = 70x will vote.
And leading candidate with secure 45%(70x) votes.
Actual poll day:
5% points increased. So , 75%(100x) = 75x has voted.
The leading candidate secured 50%*(75x) votes.
45%(70x) = ?
10% of 70x = 7. So 40% means 4*7 = 28. And, 5% = 3.5
45% (70x) = 31.5x
50%*(75x) =?
37.5x
Difference 6x = 19800
Therefore x = 3300
100x = 3,30,000.
Finally, Dorthworth eligible voters = 100x = 3,30,000. Which is 60% of total population.
(3/5)* total population = 3,30,000
Total population = 5*(110000) = 5,50,000
Option D
09 May 2026, 15:31
Kudos
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Analysts expected that 70% of Dorthwood’s eligible voters would vote in a mayoral election and that the leading candidate would receive 45% of the votes cast. In the actual election, the voter participation rate was 5 percentage points higher than expected , and the leading candidate received half of the votes cast. As a result, she received 19,800 more votes than analysts had expected. If 60% of Dorthwood’s residents are eligible voters, how many residents does Dorthwood have?
Let the number of eligible voters be v.
Prediction:
0.7v × 0.45
Actual:
0.75v × 0.50
Difference:
(0.75v × 0.50) - (0.7v × 0.45) = 19,800
0.06v = 19,800
v = 330,000
Answer the question asked:
If 60% of Dorthwood’s residents are eligible voters, how many residents does Dorthwood have?
330,000/0.6 = 550,000
A. 330,000
B. 450,000
C. 528,000
D. 550,000
E. 629,000
Correct answer: D
Let the number of eligible voters be v.
Prediction:
0.7v × 0.45
Actual:
0.75v × 0.50
Difference:
(0.75v × 0.50) - (0.7v × 0.45) = 19,800
0.06v = 19,800
v = 330,000
Answer the question asked:
If 60% of Dorthwood’s residents are eligible voters, how many residents does Dorthwood have?
330,000/0.6 = 550,000
A. 330,000
B. 450,000
C. 528,000
D. 550,000
E. 629,000
Correct answer: D
