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

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Joined: 02 Sep 2009
Posts: 41660

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

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06 May 2012, 09:53
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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.

[Reveal] Spoiler: OA

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

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21 Jun 2012, 02:06
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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Joined: 13 Feb 2012
Posts: 144

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Location: Italy
Concentration: General Management, Entrepreneurship
GMAT 1: 560 Q36 V34
GPA: 3.1
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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
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.

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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

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

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11 Aug 2015, 03:24
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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] 07 Jun 2016, 10:52
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