There are 200 students taking part in after-school clubs and activities. Eighty-three of the students signed up for track. A total of 59 students signed up for the drama club and 24 of them also signed up for track. How many students are not on the track team or in the drama club?
Question
There are 200 students taking part in after-school clubs and activities. Eighty-three of the students signed up for track. A total of 59 students signed up for the drama club and 24 of them also signed up for track. How many students are not on the track team or in the drama club?
Solution
To solve this problem, we first need to find out how many students are either in the track team or the drama club.
We know that 83 students signed up for track and 59 students signed up for the drama club. However, 24 students are counted twice because they signed up for both.
So, we add the number of students in track and drama, and then subtract the 24 students who are in both:
83 (track) + 59 (drama) - 24 (both) = 118 students
This is the total number of students who are either in the track team or the drama club.
To find out how many students are not in either of these groups, we subtract this number from the total number of students:
200 (total students) - 118 (track or drama) = 82 students
So, 82 students are not on the track team or in the drama club.
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