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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 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

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From Statement 1 :
Total Students = 120
Therefore students who dislike lime beans = (2/3) * 120 = 80
Hence students who dislike lima beans and like brussels = (2/5) * 80 = 32
From Statement 2 :
Let the total students be X
Students who like lima beans = 40
therefore (1/3)* X = 40 . Hence X = 120 .
The above method can be used again to calulate the required number of students who dislike lima beans and like brussels. ie 32

Hence the Question can be answered by using either statement alone.
answered Oct 2, 2014 by Associate (163 points)
selected Apr 12, 2015 by
Student Speaks

Jyotsna Mehta