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19 Jul 2018, 01:45
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B
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Difficulty:
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Question Stats:
76% (01:27) correct
24%
(01:39)
wrong
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If 2/3 of the number of women attending a certain dance is equal to 1/2 of the number of men attending, what fraction of those attending are women?
A. 2/5
B. 3/7
C. 5/7
D. 3/4
E. 5/6
A. 2/5
B. 3/7
C. 5/7
D. 3/4
E. 5/6
19 Jul 2018, 01:56
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Bunuel
Given,
2/3W = 1/2M
M=4/3W
Now,
Required fraction = W /(M + W)
= W / ((4/3)*W + W)
= W / (7 / 3W)
= 3/7
Hence, B.
19 Jul 2018, 01:57
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Bunuel
Instead of trying to calculate explicitly, we'll use easy numbers.
This is an Alternative approach.
Say there are 3 women. Then 2/3 of the women = 2 women are half the men meaning that there are 4 men.
So there are a total of 3 + 4 = 7 people
Then the fraction of women is 3/7.
(B) is our answer.
