There are 300 students in the junior class at a high school.

-100 students participate in theater.

-70 students are involved in chorus.

-140 students play a sport.

-35 students are in chorus and are involved in theater, while 15 students play a sport and participate in theater.

No members of the chorus play sports.

How many students in the junior class are in none of these activities?

I'm thinking 40, but I'm not sure. Help please!

I get 40 as well.

100+70+140 - 35 - 15 = 260

To find the number of students in the junior class who are in none of these activities, we need to subtract the total number of students involved in any of these activities from the total number of students in the junior class.

First, let's find the total number of students involved in any of these activities. We can do this by adding the number of students participating in theater, chorus, and sports, and then subtracting the number of students who are counted twice (those involved in both theater and chorus, or theater and sports).

Total students involved in any activity = Students in theater + Students in chorus + Students in sports - (Students in theater and chorus + Students in theater and sports)

Students in theater = 100
Students in chorus = 70
Students in sports = 140
Students in theater and chorus = 35
Students in theater and sports = 15

Total students involved in any activity = 100 + 70 + 140 - (35 + 15) = 260

Now, we can find the number of students in the junior class who are in none of these activities by subtracting the total students involved in any activity from the total number of students in the junior class.

Number of students in none of these activities = Total students in the junior class - Total students involved in any activity

Total students in the junior class = 300

Number of students in none of these activities = 300 - 260 = 40

So, there are 40 students in the junior class who are in none of these activities. Your answer is correct!