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Some of the workers at a hedge fund are analysts; the others are not

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Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 06 Apr 2016, 01:39
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Question Stats:

66% (03:08) correct 34% (02:58) wrong based on 104 sessions

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Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 50 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?

A. 45
B. 50
C. 60
D. 75
E. 80
[Reveal] Spoiler: OA

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Re: Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 07 Apr 2016, 07:21
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AnalystsNot AnalystsTotal
MBAx/32x/3x
No MBAy/4
Total2x/350y


We are asked for the value of x.

From the table: 2x/3 = y - 50
y - 50 + (y/4) = 50
5y/4 = 100
y = 80

2x/3 = 80 - 50 = 30

x = 90/2 = 45

Answer: A

Kudos [?]: 1179 [1], given: 890

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Re: Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 20 Oct 2017, 11:54
Hello Vyshak

Can you please explain how you get to:

y - 50 + (y/4) = 50
5y/4 = 100
y = 80


Thank you

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Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 20 Oct 2017, 16:26
2x/3 + y/4 = 50
We know that 2x/3 is y - 50

We get the above result by substituting y - 50 for the value of 2x/3.

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Re: Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 28 Oct 2017, 09:01
Vyshak wrote:



AnalystsNot AnalystsTotal
MBAx/32x/3x
No MBAy/4
Total2x/350y


We are asked for the value of x.

From the table: 2x/3 = y - 50
y - 50 + (y/4) = 50
5y/4 = 100
y = 80

2x/3 = 80 - 50 = 30

x = 90/2 = 45

Answer: A



Hi
How come the value of Not Analysts with MBA be 2x/3.
There is nothing as such mentioned about that??

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Re: Some of the workers at a hedge fund are analysts; the others are not [#permalink]

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New post 28 Oct 2017, 09:08
suramya26 wrote:
Vyshak wrote:



AnalystsNot AnalystsTotal
MBAx/32x/3x
No MBAy/4
Total2x/350y


We are asked for the value of x.

From the table: 2x/3 = y - 50
y - 50 + (y/4) = 50
5y/4 = 100
y = 80

2x/3 = 80 - 50 = 30

x = 90/2 = 45

Answer: A



Hi
How come the value of Not Analysts with MBA be 2x/3.
There is nothing as such mentioned about that??


hi..
the Q talks about hedge workers..
x of them have done MBA....
Quote:
A total of x hedge fund workers have an MBA.

x/3 analyst have MBA
Quote:
Furthermore, x/3 analysts have an MBA


so remaining MBA are NOT analysts = \(x-\frac{x}{3}=\frac{2x}{3}\)
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Kudos [?]: 5855 [0], given: 117

Re: Some of the workers at a hedge fund are analysts; the others are not   [#permalink] 28 Oct 2017, 09:08
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