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

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Math Expert
Joined: 02 Sep 2009
Posts: 49968
Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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06 Apr 2016, 01:39
00:00

Difficulty:

55% (hard)

Question Stats:

72% (03:38) correct 28% (03:29) wrong based on 120 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

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SC Moderator
Joined: 13 Apr 2015
Posts: 1693
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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07 Apr 2016, 07:21
1
2

 Analysts Not Analysts Total MBA x/3 2x/3 x No MBA y/4 Total 2x/3 50 y

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

Intern
Joined: 06 Sep 2015
Posts: 2
Re: Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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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
SC Moderator
Joined: 13 Apr 2015
Posts: 1693
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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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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Manager
Joined: 02 Jul 2016
Posts: 112
Re: Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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28 Oct 2017, 09:01
Vyshak wrote:

 Analysts Not Analysts Total MBA x/3 2x/3 x No MBA y/4 Total 2x/3 50 y

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

Hi
How come the value of Not Analysts with MBA be 2x/3.
There is nothing as such mentioned about that??
Math Expert
Joined: 02 Aug 2009
Posts: 6956
Re: Some of the workers at a hedge fund are analysts; the others are not  [#permalink]

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

 Analysts Not Analysts Total MBA x/3 2x/3 x No MBA y/4 Total 2x/3 50 y

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

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