GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 21 Oct 2019, 13:13

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# In a hair cut competition, the number of blonde girls is three times

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58396
In a hair cut competition, the number of blonde girls is three times  [#permalink]

### Show Tags

17 Sep 2019, 00:11
00:00

Difficulty:

25% (medium)

Question Stats:

78% (01:34) correct 22% (01:41) wrong based on 37 sessions

### HideShow timer Statistics

In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?

A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.

_________________
Senior Manager
Joined: 16 Jan 2019
Posts: 489
Location: India
Concentration: General Management
WE: Sales (Other)
Re: In a hair cut competition, the number of blonde girls is three times  [#permalink]

### Show Tags

17 Sep 2019, 00:20
Let $$x$$=Number of Blonde girls
$$y$$=Number of Brown haired girls
$$z$$=Number of Red Haired girls

Given,

$$x=3y, y=2z$$ or $$z=\frac{y}{2}$$

To find,

$$\frac{y}{x+y+z}$$

Substituting for $$x$$ & $$z$$,

$$\frac{y}{3y+y+y/2} = \frac{2}{9}$$

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5027
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In a hair cut competition, the number of blonde girls is three times  [#permalink]

### Show Tags

17 Sep 2019, 02:56
Bunuel wrote:
In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?

A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.

blonde=3 brown
brown=2 red
let red= 4 ; brown =8 and blonde =24
total 36
brown hair proportion ; 8/36 ; 2/9
IMO E
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4777
Location: India
GPA: 3.5
Re: In a hair cut competition, the number of blonde girls is three times  [#permalink]

### Show Tags

17 Sep 2019, 07:58
Bunuel wrote:
In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?

A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.

Let, No of Red haired Girl be = 1 , So, Brown haired Girls = 2 and No of blonde girls = 6 , Total No of Girls = 9

So, proportion of the brown haired girls is 2/9 , Answer must be (E)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: In a hair cut competition, the number of blonde girls is three times  [#permalink]

### Show Tags

21 Sep 2019, 12:25
Bunuel wrote:
In a hair cut competition, the number of blonde girls is three times bigger than the number of brown haired girls, and the number of brown haired girls is twice the number of red haired girls. Assuming that there is no other hair color, what is the proportion of the brown haired girls?

A. 2/3.
B. 4/9.
C. 1/3.
D. 5/9.
E. 2/9.

We can let D = the number of blonde girls, W = the number of brown haired girls, and R = the number of red haired girls. We can create the equations:

D = 3W

and

W = 2R

W/2 = R

The proportion of brown haired girls is:

W/(W + 3W + W/2)

Multiplying by 2/2, we have:

2W/(2W + 6W + W) = 2W/9W = 2/9

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: In a hair cut competition, the number of blonde girls is three times   [#permalink] 21 Sep 2019, 12:25
Display posts from previous: Sort by