In a class of 100 students, 16 take Chorus, 30 take Band, and 10 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band?

5 answers

make a Venn diagram ... the intersecting circles
I did!
Now what do i do?
10 take both ... that is the intersection area of band and chorus

16 take chorus ... but 10 of those take both ... so 6 are only chorus

30 take chorus ... but 10 of those take both ... so 20 are only band

10 + 6 + 20 = 36 ... students in band or chorus or both

100 - 36 = 64 ... students not in either Chorus or Band
Thanks R_scott.