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
How many were enrolled in a math class but not an English class?

Answer 1

We can use a Venn diagram to visualize the information given:

From the diagram, we can see that the number of students enrolled in a math class but not an English class is:

85 (enrolled in math) - 35 (enrolled in both math and English) - 10 (enrolled in all three) = 40

Therefore, 40 students were enrolled in a math class but not an English class.