A survey was taken at Small Liberal U (SLU) with the followingresult:

Question

235 Total number of students
85 Number of students enrolled in an English class
60 Number of students enrolled in a social studies class
85 Number of students enrolled in a math class
35 Number of students enrolled in both an English class and a math class
30 Number of students enrolled in both an English class and a social studies class
20 Number of students enrolled in both social studies class and a math class
10 Number of students enrolled in all three
a. Complete the Venn diagram to represent information provided.

Answer 1


b. How many students are enrolled in only one class (not two or three)?

There are 150 students who are enrolled in only one class.

To calculate this, we add up the numbers of students in each individual category:

- 85 in English class only
- 60 in social studies class only
- 85 in math class only

Then we subtract the number of students who are enrolled in two or three classes:

- 35 in both English and math
- 30 in both English and social studies
- 20 in both social studies and math
- 10 in all three classes

So, 85 + 60 + 85 - 35 - 30 - 20 - 10 = 150.