Question

At a community college, a survey was taken to determine where students study on campus. Of the 260 students surveyed, it was determined that 171 studied in the library. 132 studied in the cafeteria.

Answer 1

The number of students who studied neither in the library nor the cafeteria is 42.

Step-by-step explanation:

In order to find the number of students who studied neither in the library nor the cafeteria, we need to subtract the number of students who studied in either the library or the cafeteria from the total number of students surveyed.

The total number of students surveyed is 260. The number of students who studied in the library is 171, and the number who studied in the cafeteria is 132.

Let's denote the number of students who studied neither in the library nor the cafeteria as
`\(X\)`.

`\(X = \text{Total surveyed} - \text{Library} - \text{Cafeteria} = 260 - 171 - 132 = 42.\)`

Therefore, 42 students studied neither in the library nor the cafeteria.

In summary, 42 students did not study in either location, and the remaining students were accounted for by studying in the library, the cafeteria, or both.