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# In Teetown 50 percent of the people have blue eyes and blond hair.

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Math Expert
Joined: 02 Sep 2009
Posts: 50570
In Teetown 50 percent of the people have blue eyes and blond hair.  [#permalink]

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29 Oct 2017, 01:00
00:00

Difficulty:

25% (medium)

Question Stats:

79% (01:29) correct 21% (01:26) wrong based on 87 sessions

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In Teetown 50 percent of the people have blue eyes and blond hair. What percent of the people in Teetown have blue eyes but do not have blond hair?

(1) 70 percent of the people in Teetown have blond hair.
(2) 60 percent of the people in Teetown have blue eyes.

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Senior Manager
Joined: 13 Oct 2016
Posts: 286
GMAT 1: 600 Q44 V28
In Teetown 50 percent of the people have blue eyes and blond hair.  [#permalink]

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29 Oct 2017, 08:11
1
The answer to the following question is B. I have solved the following problem by matrix method.

The following are the notations in the attached document.

BE: Blue Eyes
NBE: Not Blue Eyes
BH: Blond Hair
NBH: Not Blond Hair
Attachments

IMG_3803.JPG [ 1.38 MiB | Viewed 981 times ]

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Senior Manager
Joined: 15 Jan 2017
Posts: 360
Re: In Teetown 50 percent of the people have blue eyes and blond hair.  [#permalink]

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19 Nov 2017, 01:33
1) 70% have blond hair. 70 - 50 = 20% have blond hair and non blue eyes. 30 % non blond hair. Overall NS

2) 60% have blue eyes. 40% have non blue eyes. if 50% are blond and blue, then 60 - 50 = 10% have blue eyes and non blond hair.

B is suff.
Kudos, please if you like this explanation
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Re: In Teetown 50 percent of the people have blue eyes and blond hair.  [#permalink]

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19 Nov 2017, 07:02
Bunuel wrote:
In Teetown 50 percent of the people have blue eyes and blond hair. What percent of the people in Teetown have blue eyes but do not have blond hair?

(1) 70 percent of the people in Teetown have blond hair.
(2) 60 percent of the people in Teetown have blue eyes.

Hi Bunuel,

Let the Total Number of People in Teetown be X.
a = Only Blue Eye.
b = Only Blond Hair.
c = Both Blue Eye & Blond Hair.

Is it right to write a + b + c = X? or we need to consider that there might be few people without Blue Eye & Blond Hair.
If a + b + c = X, then should D be the answer??
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Re: In Teetown 50 percent of the people have blue eyes and blond hair. &nbs [#permalink] 19 Nov 2017, 07:02
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