A college survey was taken to determine where students study. Of 119 students surveyed, 72 studied in the cafeteria, 53 studied in the student lounge, 21 studied in both the cafeteria and the student lounge.
Of those interviewed how many did not study in either the cafeteria or the student lounge?
To solve this problem, we can add the number of students who studied in the cafeteria and the student lounge and then subtract the number of students who studied in both.
Number of students who studied in the cafeteria = 72
Number of students who studied in the student lounge = 53
Number of students who studied in both = 21
Total number of students who studied in either the cafeteria or the student lounge = 72 + 53 - 21 = 104
Therefore, the number of students who did not study in either the cafeteria or the student lounge = Total number of students surveyed - Total number of students who studied in either the cafeteria or the student lounge = 119 - 104 = 15.
So, 15 students did not study in either the cafeteria or the student lounge.