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
I think it is A...?
I didn't get A,
Did you make a Venn Diagram with two overlapping circles.
The 31 goes in the overlap. for band alone subtract the 31 from 89. For the sports alone subtract the 31 from 215.
Add up all of the numbers in the 3 parts of the circles and subtract from 464.
Thank you
what did you get?
To find the number of students involved in neither band nor sports, you need to subtract the number of students in the band, the number of students on sports teams, and the number of students who participate in both activities from the total number of students in the school.
Let's break down the solution step by step:
1. Start with the total number of students in the school: 464 students.
2. Subtract the number of students in the band: 464 - 89 = 375 students remain.
3. Subtract the number of students on sports teams: 375 - 215 = 160 students remain.
4. Subtract the number of students who participate in both activities: 160 - 31 = 129 students remain.
Therefore, there are 129 students involved in neither band nor sports.
Option B. 191 students is incorrect because it's asking for the number of students involved in neither band nor sports, not the number of students involved in both band and sports.