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# Among the members of the Malmo family, there are three times

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Senior Manager
Joined: 21 Oct 2013
Posts: 444
Among the members of the Malmo family, there are three times [#permalink]

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24 Mar 2014, 03:44
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Difficulty:

45% (medium)

Question Stats:

69% (02:13) correct 31% (02:23) wrong based on 179 sessions

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Among the members of the Malmo family, there are three times as many members who do not wear glasses as members who do. Half of the Malmo family members have blue eyes, and 4/5 of the family members who have blue eyes do not wear glasses. What percent of the Malmo family members wear glasses and do not have blue eyes?

A) 10
B) 15
C) 20
D) 25
E) 35

OE:
[Reveal] Spoiler:
Attachment:
File comment: Table

Table.png [ 31.29 KiB | Viewed 1967 times ]
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 43829
Among the members of the Malmo family, there are three times [#permalink]

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24 Mar 2014, 06:30
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goodyear2013 wrote:
Among the members of the Malmo family, there are three times as many members who do not wear glasses as members who do. Half of the Malmo family members have blue eyes, and 4/5 of the family members who have blue eyes do not wear glasses. What percent of the Malmo family members wear glasses and do not have blue eyes?

A) 10
B) 15
C) 20
D) 25
E) 35

OE:
[Reveal] Spoiler:
Attachment:
The attachment Table.png is no longer available

Check the matrix below:

Number in black are given and in red are calculated.

Now, since $$x+3x=100$$, then $$x=25$$ and therefore $$? = 25-10= 15$$.

[Reveal] Spoiler:
Attachment:

Untitled.png [ 4.95 KiB | Viewed 1945 times ]

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Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1839
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Among the members of the Malmo family, there are three times [#permalink]

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25 Jul 2014, 01:40
Refer diagram below:

Calculation sequence is as per arrow

We require to find the shaded region %

$$= \frac{\frac{3x}{5}}{4x} * 100$$

= 15%
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eye.png [ 5.34 KiB | Viewed 1619 times ]

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Intern
Joined: 01 May 2017
Posts: 32
Re: Among the members of the Malmo family, there are three times [#permalink]

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24 Aug 2017, 00:25
Refer to the matrix attached.
Required answer would be [ (NB)/Total ] * 100 = 15%

Attachments

File comment: matrix key: G=glasses, NG= No glasses, B=Blue eyes, NB=not blue eyes.

New Doc 2017-08-24.jpg [ 40.49 KiB | Viewed 559 times ]

Re: Among the members of the Malmo family, there are three times   [#permalink] 24 Aug 2017, 00:25
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