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

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Sat Feb 03, 2018 6:29 am

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

The OA is the option D.

I don't know what is the equation that I should use here. Is W=4M? I don't know. Experts, can you give me some help? Thanks in advanced.

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Source: Beat The GMAT — Problem Solving | Sat Feb 03, 2018 6:29 am

EconomistGMATTutor: GMAT Instructor; Posts: 555; Joined: Wed Oct 04, 2017 4:18 pmFollowed by: 12 members; Thanked: 180 times

by EconomistGMATTutor » Sat Feb 03, 2018 7:38 am

Hello M7MBA.

Let's take a look at your question.

Since it says 4 women more, it implies that W=M+4 (M=W-4).

The case that you wrote is when is 4 times.

Now, since there are 10 members on the board, we have that

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

Hence, the correct answer is the option [spoiler]D=7[/spoiler].

I hope this answer can help you.

Feel free to ask me again if you have a doubt.

Regards.

GMAT Prep From The Economist
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[email protected]: Elite Legendary Member; Posts: 10392; Joined: Sun Jun 23, 2013 6:38 pmFollowed by: 511 members; Location: Palo Alto, CA; Thanked: 2867 times; GMAT Score:800

by [email protected] » Sat Feb 03, 2018 10:59 am

Hi M7MBA,

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: D

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Fri Feb 09, 2018 10:17 am

M7MBA 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 w = m + 4 and m = 3, thus w = 3 + 4 = 7.

Alternate Solution:

Letting x = the number of men, we see that the number of women is x + 4. Thus, we have:

x + x + 4 = 10

2x + 4 = 10

2x = 6

x = 3

Thus, the number of women is 3 + 4 = 7.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

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