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Of the students who eat in a certain cafeteria, each student

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Of the students who eat in a certain cafeteria, each student [#permalink] New post 13 Dec 2009, 11:57
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Question Stats:

59% (01:00) correct 41% (01:40) wrong based on 95 sessions
Of the students who eat in a certain cafeteria, each student either likes or dislikes lima beans and each student either likes or dislikes brussels sprouts. Of these students, 2/3 dislike lima beans; and of those who dislike lima beans, 3/5 also dislike brussels sprouts. How many of the students like brussels sprouts but dislike lima beans?

(1) 120 students eat in the cafeteria
(2) 40 of the students like lima beans

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-students-who-eat-in-a-certain-cafeteria-each-student-95246.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 27 Oct 2013, 04:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: Brussels Sprouts and Lima beans [#permalink] New post 13 Dec 2009, 15:32
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A: We are given total students = 120, which will be X.

We are given the following data in the problem:

X = 120
Doesn't like beans = (2/3)x = 80
Doesn't like beans AND sprouts = (3/5)80 = 48

If 48 students do not like beans and sprouts, that means 32 students that do not like beans DO like sprouts. SUFFICIENT.

B: We are given 40 students like beans.

If 2/3 of students do not like beans, 1/3 do like beans. This means 1/3 of the total students = 40. From here we can repeat the steps done for statement A and determine the question is SUFFICIENT.

Therefore the answer is D.
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Re: Brussels Sprouts and Lima beans [#permalink] New post 26 Oct 2013, 04:19
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Re: Brussels Sprouts and Lima beans [#permalink] New post 26 Oct 2013, 08:52
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From the Stem : Dislike Lima = ( 2/3 )* total of students

Dislike ( Brussels and Lima) = (3/5)*( people who dislike Lima)

Then Dislike ( Brussels and Lima) = (3/5)*( ( 2/3 )* total of students)

Given

1) the total number of students are 120

2) students who dislike Lima beans are 40

So we can achieve the answer with both 1 and 2. So D
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Re: Of the students who eat in a certain cafeteria, each student [#permalink] New post 27 Oct 2013, 04:31
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Re: Of the students who eat in a certain cafeteria, each student   [#permalink] 27 Oct 2013, 04:31
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