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]

26 Apr 2006, 03:26

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 dislke lima beans?

1) 120 students eat in the cafeteria

2) 40 students like lima beans

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26 Apr 2006, 08:32

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

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beans.gif [ 3.56 KiB | Viewed 444 times ]

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26 Apr 2006, 08:42

D.

agree with giddi. Either one will allow you to complete the chart

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27 Apr 2006, 22:04

Awesome explanation Giddi 8-)

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23 May 2006, 11:38

Very nice explanation

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Alternative Method [#permalink]

30 Oct 2006, 07:19

Hi guys,

some of us (like me for example :roll:

) 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

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BursselSprouts.JPG [ 32.93 KiB | Viewed 312 times ]

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30 Oct 2006, 17:50

Good explanation by giddi77 and dennisquah

[#permalink] 30 Oct 2006, 17:50

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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

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

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