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28 Feb 2018, 10:34
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Difficulty:
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84% (02:07) correct
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In a survey of 200 people, 20% of the men and 10% of the women are athletes. If 29 people are athletes in total, how many women were in the survey?
a) 29
b) 90
c) 100
d) 110
e) 200
a) 29
b) 90
c) 100
d) 110
e) 200
28 Feb 2018, 11:55
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swong1503
In a survey of 200 people, 20% of the men and 10% of the women are athletes. If 29 people are athletes in total, how many women were in the survey?
a) 29
b) 90
c) 100
d) 110
e) 200
a) 29
b) 90
c) 100
d) 110
e) 200
Good Question!
Let Number of women be x.
(200-x)*0.2 + 0.1x = 29
Solving the above for x will give us x = 110.
General Discussion
28 Feb 2018, 12:27
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swong1503
In a survey of 200 people, 20% of the men and 10% of the women are athletes. If 29 people are athletes in total, how many women were in the survey?
a) 29
b) 90
c) 100
d) 110
e) 200
a) 29
b) 90
c) 100
d) 110
e) 200
Process of elimination is the quickest way to solve
Rule out A and E for obvious reasons
Try for B
if Num of women = b = 90, 10% of 90 = 9
and Num of men = 110, 20% of 110 = 22
adding them 22+9 =/= 29
Rule out B
Try for C
Similarly, 10% of 100 = 10
20% of 100 = 20
20+10 =/= 29
Rule out C
D.
{Test : 10% of 110 = 11; 20% of 90 = 18; 18+11 = 29!}
