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Re: There are 4 more women than men on Centerville’s board of [#permalink]
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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]
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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Bunuel
sravanth
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]
Expert Reply
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.

Final Answer:

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

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

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Re: There are 4 more women than men on Centerville’s board of [#permalink]
Given :
Total member : 10
Let men be : x
We know women are 4 more than men : x+4

x+x+4 = 10
2x+4 =10
x=6/2 = 3

so, women : 3+4 = 7

Option D
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Re: There are 4 more women than men on Centervilles board of [#permalink]
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Re: There are 4 more women than men on Centervilles board of [#permalink]
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