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# In a group of 100 adults, 75 percent of the women are left-h

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In a group of 100 adults, 75 percent of the women are left-h  [#permalink]

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21 Oct 2010, 18:16
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Difficulty:

5% (low)

Question Stats:

90% (01:28) correct 10% (01:49) wrong based on 122 sessions

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In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

A. 48
B. 52
C. 54
D. 60
E. 62

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21 Oct 2010, 18:18
let x is the number of women
then
75% x + 12 = x
x=48
Men = 52
Thanks
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21 Oct 2010, 18:19
75% women are left handed
so 25% women are right handed 25% = 12 so women are 48
so men are 100 - 48 = 52
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In a group of 100 adults, 75 percent of the women are left-h  [#permalink]

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21 Oct 2010, 18:20
1
shrive555 wrote:
In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

48
52
54
60
62

12 left-handed women compose 100-75=25% (or 1/4) of all women, so there are total of 4*12=48 women --> 100-48=52 men.

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22 Oct 2010, 02:10
1
12 right-handed women -- 25% of all women.
We can find that there are 48 women at all.
100-48=52
(B)
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Re: In a group of 100 adults, 75 percent of the women are left-h  [#permalink]

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25 Apr 2014, 23:36
0.75 x left-handed
0.25 x right-handed = 12
--> x = 48 women
--> number of men = 100 - 48 = 52
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In a group of 100 adults, 75 percent of the men are left-handed.  [#permalink]

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Updated on: 31 Jan 2015, 13:41
In a group of 100 adults, 75 percent of the men are left-handed.
If there are 12 right-handed men in the group, how many women are in the group ?

(A) 48
(B) 52
(C) 56
(D) 60
(E) 64

Originally posted by Cyborg9969 on 31 Jan 2015, 13:13.
Last edited by Cyborg9969 on 31 Jan 2015, 13:41, edited 2 times in total.
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Re: In a group of 100 adults, 75 percent of the men are left-handed.  [#permalink]

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31 Jan 2015, 13:22
Let x represent the number of men in the group. The sum of all the women and men is 100.

75% of x are left-handed, so the 12 right-handed men represent 25% (1/4) of x.

Therefore, x = 12*4 = 48

The number of woman in the group is 100 - 48 = 52.
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Posts: 58370
Re: In a group of 100 adults, 75 percent of the women are left-h  [#permalink]

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01 Feb 2015, 04:11
Cyborg9969 wrote:
In a group of 100 adults, 75 percent of the men are left-handed.
If there are 12 right-handed men in the group, how many women are in the group ?

(A) 48
(B) 52
(C) 56
(D) 60
(E) 64

Merging topics.

Please search before posting. Thank you.
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Re: In a group of 100 adults, 75 percent of the women are left-h  [#permalink]

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12 Feb 2019, 20:47
shrive555 wrote:
In a group of 100 adults, 75 percent of the women are left-handed. If there are 12 right-handed women in the group, how many men are in the group?

A. 48
B. 52
C. 54
D. 60
E. 62

Since 75% of the women are left-handed, the 12 right-handed women constitute 25% of the women. Letting w = the total number of women, we can create the equation:

0.25w = 12

w = 48, so the number of men is 52.

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Re: In a group of 100 adults, 75 percent of the women are left-h   [#permalink] 12 Feb 2019, 20:47
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