Question #N62
A group of 100 students were surveyed about their favorite type of music. 60 students said they like pop music, 45 students said they like rock music, and 20 students said they like both pop and rock music. How many students like only pop music?
A. 20
B. 40
C. 60
D. 80
Correct Answer is: B
We can use a Venn diagram to solve this problem. Let the circle labeled "Pop" represent all students who like pop music, and let the circle labeled "Rock" represent all students who like rock music. Since 20 students like both pop and rock music, we write "20" in the overlapping section of the circles. Since 60 students like pop music, and 20 of those also like rock music, 60 – 20 = 40 students like only pop music. Thus, the answer is 40.