There are 4 more women (OG2016)

Question

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 OA: D

Brent@GMATPrepNow · Answer

boomgoesthegmat 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

OA: D

Solution:

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

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

regor60 · Answer

boomgoesthegmat 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

OA: D

As an aside, this question, and others modeled upon it, have gained some notoriety for being tricky when posed orally. See Fast Brain Slow Brain

Rich.C@EMPOWERgmat.com · Answer

Hi boomgoesthegmat,

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]

Jeff@TargetTestPrep · Answer

boomgoesthegmat 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

OA: D

Solution:

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

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

Matt@VeritasPrep · Answer

Men = m Women = m + 4 m + m + 4 = 10 m = 3, but we want women, or m + 4, or 7.

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