A college survey was taken to determine where students study. Of 104 students​ surveyed, 60 studied in the cafeteria ​, 53 studied in the student lounge ​, 20 studied in both the cafeteria and the student lounge.

1 answer

To find the number of students who studied only in the cafeteria, we subtract the number of students who studied in both the cafeteria and the student lounge from the total number of students who studied in the cafeteria.

Number of students who studied only in the cafeteria = Total number of students who studied in the cafeteria - Number of students who studied in both the cafeteria and the student lounge
Number of students who studied only in the cafeteria = 60 - 20 = <<60-20=40>>40

To find the number of students who studied only in the student lounge, we subtract the number of students who studied in both the cafeteria and the student lounge from the total number of students who studied in the student lounge.

Number of students who studied only in the student lounge = Total number of students who studied in the student lounge - Number of students who studied in both the cafeteria and the student lounge
Number of students who studied only in the student lounge = 53 - 20 = <<53-20=33>>33

To find the total number of students who studied in either the cafeteria or the student lounge, we add the number of students who studied only in the cafeteria and the number of students who studied only in the student lounge.

Total number of students who studied in either the cafeteria or the student lounge = Number of students who studied only in the cafeteria + Number of students who studied only in the student lounge
Total number of students who studied in either the cafeteria or the student lounge = 40 + 33 = <<40+33=73>>73

Therefore, 73 students studied in either the cafeteria or the student lounge.