Question

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?

Answer 1

`(4)/(15) \\`

Explanation:

number of the students like brussels sprouts but dislike lima beans = number of these students who dislike lima beans - number of students who dislike lima beans and also dislike brussels sprouts

`(2)/(3)-(3)/(5)* (2)/(3) = (2)/(3)-(6)/(15)=(10)/(15)-(6)/(15)=(4)/(15)\\`