Question

Among students, a survey found that 30% of students like Eminem and 80% of students like The Dave Matthews Band. Also, 12% of students liked both Eminem and The Dave Matthews Band. Use a Venn Diagram to answer the following questions.

a) What percent of students like The Dave Matthews Band but not Eminem?
b) What percent of students like Eminem but not The Dave Matthews Band?
c) What percent of students like neither Eminem nor The Dave Matthews Band?

Answer 1

Lets us say there are 100 students in total:

then Only like dave mathews:
Total # love DM = # only like DM +like DM and Eminem
# only like DM = 80-12
which is 68 or 68%

same for Eminem and them
adding everyone
#Eminem fans +DM fans- fans of both (since we are counting them twice) = 98

c) # of students who don't like any of those is 2 = 2%

Answer 2

wow, thank you so much! you are actually a lifesaver!

Answer 3

no problem