Step 1
Given;
[tex]\begin{gathered} \text{Total number of students = 75} \\ \frac{3}{5}of\text{ the total = Science major students} \end{gathered}[/tex]Required; To find how many students are not science majors
Step 2
Find the number of science major students
[tex]\frac{3}{5}\times75=45\text{ science major students}[/tex]Step 3
Find the number of students who are not science majors
[tex]\begin{gathered} \text{Total number of students = science majors + non-science majors} \\ 75=45\text{ + non-science majors} \\ \text{non}-\text{science majors=75-45=30 non-science major students} \end{gathered}[/tex]Hence, there are 30 students who did not major in science.