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Of the 500 delegates attending a convention, 200 are Republicans and

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Math Expert
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Joined: 02 Sep 2009
Posts: 58335
Of the 500 delegates attending a convention, 200 are Republicans and  [#permalink]

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New post 06 Feb 2019, 03:46
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

88% (01:13) correct 12% (01:26) wrong based on 26 sessions

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Joined: 31 Oct 2013
Posts: 1475
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
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Re: Of the 500 delegates attending a convention, 200 are Republicans and  [#permalink]

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New post 06 Feb 2019, 03:59
Bunuel wrote:
Of the 500 delegates attending a convention, 200 are Republicans and the rest are Democrats. One hundred of the delegates are vegetarians and, of those who are not vegetarians, 270 are Democrats. How many of the vegetarian delegates are Republicans?

A. 30
B. 40
C. 50
D. 60
E. 70



Total = 500

Republican = 200

democrats = 300.

Vegetarians = 100

Non vegetarians = 400.

Non vegetarians democrats = 270

Non vegetarians republicans = 130.

Democrats vegetarians = 300 -270 = 30.

Republicans Vegetarians = 200 - 130 = 70.

E is the correct answer.
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Re: Of the 500 delegates attending a convention, 200 are Republicans and  [#permalink]

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New post 06 Feb 2019, 05:25
Bunuel wrote:
Of the 500 delegates attending a convention, 200 are Republicans and the rest are Democrats. One hundred of the delegates are vegetarians and, of those who are not vegetarians, 270 are Democrats. How many of the vegetarian delegates are Republicans?

A. 30
B. 40
C. 50
D. 60
E. 70


solved using 2x2 matrix
IMO E
70
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Re: Of the 500 delegates attending a convention, 200 are Republicans and   [#permalink] 06 Feb 2019, 05:25
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Of the 500 delegates attending a convention, 200 are Republicans and

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