In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities.
How many students are involved in neither band nor sports?
A. 160 students
B. 191 students
C. 249 students
D. 433 students
To find the number of students who are not involved in either band or sports, we need to subtract the number of students who are in the band, the number of students who are on sports teams, and the number of students who participate in both activities from the total number of students in the school.
Total number of students = 464
Number of students in the band = 89
Number of students on sports teams = 215
Number of students who participate in both activities = 31
Number of students who are not involved in either band or sports = Total number of students - (Number of students in the band + Number of students on sports teams - Number of students who participate in both activities)
= 464 - (89 + 215 - 31)
= 464 - 273
= 191
Therefore, the answer is B. 191 students are involved in neither band nor sports.