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

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

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New post 24 Mar 2014, 03:44
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  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
Table.png [ 31.29 KiB | Viewed 1967 times ]
[Reveal] Spoiler: OA
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Among the members of the Malmo family, there are three times [#permalink]

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New post 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:

Image

Number in black are given and in red are calculated.

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

Answer: B.

[Reveal] Spoiler:
Attachment:
Untitled.png
Untitled.png [ 4.95 KiB | Viewed 1945 times ]

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Re: Among the members of the Malmo family, there are three times [#permalink]

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New post 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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Re: Among the members of the Malmo family, there are three times [#permalink]

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

Answer: D
Attachments

File comment: matrix key: G=glasses, NG= No glasses, B=Blue eyes, NB=not blue eyes.
New Doc 2017-08-24.jpg
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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