A college survey was taken to determine where students study. Of 114 students surveyed, 73 studied in the cafeteria, 55 studied in the student union, 21 studied in both the cafeteria and the student union.

Of those interviewed how many did not study in either the cafeteria or the student union?
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1 answer

To find the number of students who did not study in either the cafeteria or the student union, we can subtract the number of students who studied in either one or both locations from the total number of students surveyed.

First, we add the number of students who studied in the cafeteria (73) and the number of students who studied in the student union (55). However, since 21 students studied in both locations, we have to subtract this number once to avoid counting them twice.

73 + 55 - 21 = 107

So, 107 students studied in either the cafeteria or the student union.

Now, we subtract this from the total number of students surveyed to find those who did not study in either location.

114 - 107 = 7

Therefore, 7 students did not study in either the cafeteria or the student union.