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swong1503
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In a survey of 200 people, 20% of the men and 10% of the women are ath 28 Feb 2018, 10:34
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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15% (low)

Question Stats:

84% (02:10) correct 16% (02:29) wrong based on 281 sessions

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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
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D
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In a survey of 200 people, 20% of the men and 10% of the women are ath 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
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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.
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In a survey of 200 people, 20% of the men and 10% of the women are ath 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
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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!}
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In a survey of 200 people, 20% of the men and 10% of the women are ath 02 Mar 2018, 12:51
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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
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We are given the following information
1. 20% of the men are athletes
2. 10% of the women are athletes
3. Total number of athletes is 29

Let the total number of women be x.
Therefore, the total number of men is 200-x

The equation formed is 0.2(200 - x) + 0.1x = 29
40 - 0.2x + 0.1x = 29 -> 0.1x = 11 -> x = 110

Therefore, the total number of women in the survey are 110(Option D)
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In a survey of 200 people, 20% of the men and 10% of the women are ath 08 Mar 2018, 17:45
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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
Show more

We can let m = the number of men and w = the number of women and create the equation:

m + w = 200

m = 200 - w

and

0.2m + 0.1w = 29

2m + w = 290

Substituting 200 - w for m, we have:

2(200 - w) + w = 290

400 - 2w + w = 290

400 - w = 290

110 = w

Answer: D
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In a survey of 200 people, 20% of the men and 10% of the women are ath 18 Jul 2021, 09:42
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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
Show more

Let the woman be x.
Then men are (200-x).

10% of x + 20% of (200-x) = 29
=> 0.1x + 40 - 0.2x = 29
=> 0.1 x = 11
=> x = 110

Hence, OA is (D).
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In a survey of 200 people, 20% of the men and 10% of the women are ath 19 Jul 2021, 07:28
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20% of Men and 10% of women = 29 athletes

Take an option:

If 90 women then 9 athletes and men will be 200 - 90 = 110 and men athletes will be 22.

Reverse it: 110 women: 11 women athlete

Men: 90: 18 men athlete.

Total athlete: 11 + 18 = 29

Answer D
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In a survey of 200 people, 20% of the men and 10% of the women are ath 19 Oct 2025, 08:17
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