Of the students who eat in a certain cafeteria, each student : GMAT Data Sufficiency (DS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 08 Dec 2016, 08:35

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 08 Aug 2005
Posts: 251
Followers: 1

Kudos [?]: 46 [1] , given: 0

Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

26 Apr 2006, 02:26
1
KUDOS
3
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:24) correct 36% (02:00) wrong based on 123 sessions

### HideShow timer Statistics

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

Last edited by Bunuel on 20 Mar 2014, 05:15, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
VP
Joined: 21 Sep 2003
Posts: 1065
Location: USA
Followers: 3

Kudos [?]: 72 [1] , given: 0

### Show Tags

26 Apr 2006, 07:32
1
KUDOS
I think it is D.

See attached picture.

1) x = 120, Hence 4*x/15 = 4*120/15 = 32
2) 1/3*x = 120 => x = 120, so 4*x/15 = 32
Attachments

beans.gif [ 3.56 KiB | Viewed 2801 times ]

_________________

"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."

- Bernard Edmonds

Intern
Joined: 02 Oct 2006
Posts: 30
Location: Singapore
Followers: 0

Kudos [?]: 0 [0], given: 0

### Show Tags

30 Oct 2006, 06:19
Hi guys,

some of us (like me for example ) have difficulty using the matrix method ... this is a tree branch method that may help with some questions.

Thought i'd share it here ...

Cheers,
Dennis
Attachments

BursselSprouts.JPG [ 32.93 KiB | Viewed 2670 times ]

Senior Manager
Joined: 08 Jun 2006
Posts: 340
Location: Washington DC
Followers: 1

Kudos [?]: 45 [0], given: 0

### Show Tags

30 Oct 2006, 16:50
Good explanation by giddi77 and dennisquah
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 12895
Followers: 561

Kudos [?]: 158 [0], given: 0

Re: Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

20 Mar 2014, 04:28
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 35912
Followers: 6852

Kudos [?]: 90049 [2] , given: 10402

Re: Of the students who eat in a certain cafeteria, each student [#permalink]

### Show Tags

20 Mar 2014, 05:16
2
KUDOS
Expert's post
1
This post was
BOOKMARKED
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?

Make a matrix:

Note that:
"2/3 dislike lima beans" means 2/3 of total dislike lima;
"of those who dislike lima beans, 3/5 also dislike brussels sprouts" means of those who dislike lima $$1-\frac{3}{5}=\frac{2}{5}$$ like sprout, or $$\frac{2}{3}*\frac{2}{5}=\frac{4}{15}$$ of total dislike lima but like sprouts. So to calculate # of students who dislike lima but like sprouts we should now total # of students (t).

(1) 120 students eat in the cafeteria --> $$t=120$$ --> $$x=\frac{4}{15}t=32$$. Sufficient.

(2) 40 of the students like lima beans --> total students who like lima + total students who dislike lima = total --> $$40+\frac{2}{3}t=t$$ --> $$t=120$$ --> $$x=\frac{4}{15}t=32$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: of-the-students-who-eat-in-a-certain-cafeteria-each-student-95246.html
_________________
Re: Of the students who eat in a certain cafeteria, each student   [#permalink] 20 Mar 2014, 05:16
Similar topics Replies Last post
Similar
Topics:
9 Of the 250 students in a certain class, each student who majors in 6 08 Jul 2015, 04:35
3 If each of the students in a certain mathematics class is 3 23 Aug 2010, 07:54
83 Of the students who eat in a certain cafeteria, each student 25 03 Jun 2010, 23:29
40 Of the students who eat in a certain cafeteria, each student 8 25 Dec 2007, 06:27
15 Each of the students in a certain class received a single 13 03 Jun 2007, 02:08
Display posts from previous: Sort by

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

 post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group and phpBB SEO Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.