If thee are 43 students. 23 students liked english class. 18 liked math. 9 students liked neither subjects. what is the number of students that liked both?

Question

texaschic101 · Answer

I made a venn diagram and if I did it correctly, I am going to say 7 liked both

mathmate · Answer

@texaschic101
Please do not hesitate to show your work (Venn diagram) to better help @czarluc.

Another way to approach it would be
43 students less 9 who like nothing =34 who like either or both.
using $|E\cup M|=|E|+|M|-|E\cap M|$ which makes
34=23+18-$|E\cap M|$
Solve for $|E\cap M|$.

arindameducationusc · Answer

I agree with both @mathmate and@texachic101
7 should be the answer

arindameducationusc · Answer

|dw:1439983347684:dw|
23, (circle a)
18(circle b)