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

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

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New post 06 May 2012, 09:53
3
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

87% (00:32) correct 13% (00:46) wrong based on 507 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.

Answer: D.

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

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New post 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.

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

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New post 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.

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

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New post 19 Dec 2012, 05:24
W = M + 4

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

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

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New post 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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New post 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.

The answer is D.
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Re: There are 4 more women than men on Centerville’s board of [#permalink]

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New post 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.

Let's TEST Answer D: 7

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] 02 Feb 2018, 11:35
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