Question

In a class of 100 students, 24 take Chorus, 33 take Band, and 10 take both Chorus and Band. How many students in the class are not enrolled in either Chorus or Band? (3 - 4 points) SHOW WORK!

Answer 1

ANSWER

The number who are not enrolled in either Chorus or Band is 53

EXPLANATION

The given information can be represented on a Venn diagram as shown above.

Let x represent the number of students who are not enrolled in either chorus or band.

Then

$x + 14 + 10 + 23 = 100$

$x + 43 = 100$

This implies that

$x = 100 - 43$

$x = 57$

The number who are not enrolled in either Chorus or Band is 53