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

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Joined: 02 Dec 2012
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There are 4 more women than men on Centerville's board of  [#permalink]

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New post 07 Dec 2012, 02:20
1
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E

Difficulty:

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Question Stats:

87% (00:44) correct 13% (00:45) wrong based on 776 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
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Posts: 51100
Re: There are 4 more women than men on Centerville's board of  [#permalink]

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New post 07 Dec 2012, 02:20
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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 Sep 2014, 05:23
Walkabout 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



m-men
w-women
w=m+4

total =10

10 = m+m+4

6=2m
m=3
w=7
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Joined: 15 Sep 2014
Posts: 2
Re: There are 4 more women than men on Centerville's board of  [#permalink]

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New post 19 Sep 2014, 15:27
I didn't set up this equation correctly. How is the algebra reasoning for this question diff than Q 29? When do we know that we need to set up 2 diff equations representing 2 diff variables?

Thanks!
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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 Feb 2018, 20:51
W = M + 4 (Equation 1)
M + W = 10 because there are ten members on the board. (Equation 2)

Simplifying Equation 2 --> M = 10 - W
Substitute, M = 10 - W into Equation 1.
Hence, W = 10 - W + 4
2W = 14
W = 7 (Option D)
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There are 4 more women than men on Centerville's board of  [#permalink]

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New post 26 Feb 2018, 07:07
Let M be the no of men.
Let Women be expressed in terms of M ie W = M+4
We also know Men + Women = 10 therefore M + M+4 = 10 Solving the equation we get 2m = 6 and m = 3. Since there are 4 more women than men the total no of women = 3+ 4 = 7 .
The question asks for the no of women = 7 is the answer
The ans also fits into the constrain in the q = total = 10 ( 3 + 7 )

We can also solve this by testing the ans choices
Eg : With C = 6 women + 2 men =8 is incorrect as the total no of members needs to be 10 on the board.
It also means ans choice a & B are also wrong as it wont suffice the constrain.
Lets check ans choice d = 7 women = 3 men = 7+ 3 = 10 = correct . Therfore ans choce = D
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There are 4 more women than men on Centerville's board of &nbs [#permalink] 26 Feb 2018, 07:07
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