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# There are 4 more women than men on Centerville’s board of

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Math Expert
Joined: 02 Sep 2009
Posts: 59727
There are 4 more women than men on Centerville’s board of  [#permalink]

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06 May 2012, 09:53
3
2
00:00

Difficulty:

5% (low)

Question Stats:

87% (00:42) correct 13% (00:51) wrong based on 486 sessions

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There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

(A) 3
(B) 4
(C) 6
(D) 7
(E) 8

Given: M=W-4 so, W+(W-4)=10 --> W=7.

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Posts: 12
Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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21 Jun 2012, 02:06
1
I did this question by plugging numbers

We know that W = 4 + M and W + M = 10

Out of these choices, only D satisfies above two conditions

If W = 7 then M = 3

Bunuel wrote:
sravanth wrote:
There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

(A) 3
(B) 4
(C) 6
(D) 7
(E) 8

Given: M=W-4 so, W+(W-4)=10 --> W=7.

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Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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22 Oct 2012, 08:52
1
I plugged in as well, there is only one combination of m + (m+4) that gives 10 and that is if there were 3 men and 3+4 women.

Senior Manager
Joined: 13 Aug 2012
Posts: 397
Concentration: Marketing, Finance
GPA: 3.23
Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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19 Dec 2012, 05:24
W = M + 4

W + M = 10
W + W - 4 = 10
2W = 14
W = 7

Senior Manager
Joined: 28 Jun 2015
Posts: 279
Concentration: Finance
GPA: 3.5
Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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11 Aug 2015, 04:51
m+w = 10

w = m+4

m+m+4 = 10

2m = 6

m = 3, w = 7.
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Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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07 Jun 2016, 10:52
Bunuel wrote:
sravanth wrote:
There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

(A) 3
(B) 4
(C) 6
(D) 7
(E) 8

We can solve the problem by setting up a few equations. First let’s define some variables.

m = number of men on the board

w = number of women on the board

We are given that there are 4 more women than men on the board. Let’s express this in an equation.

w = m + 4

We are also given that there are a total of 10 members on the board. Let’s express this in an equation.

m + w = 10

Since w = m + 4, we can substitute m + 4 for w into the equation m + w = 10 and we have:

m + m + 4 = 10

2m = 6

m = 3

Since m + w = 10, we know that 3 + w = 10 or w = 7.

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Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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02 Feb 2018, 11:35
Hi All,

This question can be solved rather easily by TESTing THE ANSWERS.

We're told that there are 4 MORE women then men on the board and that there are 10 total board members. Since there are more women than men, women have to make up MORE than half of the 10 people.

IF.... there are 7 women...
There will be 7-4 = 3 men
7+3 = 10; this is an exact match for what we were told, so this MUST be the answer.

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Re: There are 4 more women than men on Centerville’s board of  [#permalink]

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16 Sep 2019, 09:32
Bunuel wrote:
There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

(A) 3
(B) 4
(C) 6
(D) 7
(E) 8

Given: M=W-4 so, W+(W-4)=10 --> W=7.

There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

w - m = 4
w + m = 10
w = 14/2 = 7

IMO D
Re: There are 4 more women than men on Centerville’s board of   [#permalink] 16 Sep 2019, 09:32
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