Let's use a Venn diagram to illustrate the situation. We should first find the number of students who only play sports and are only involved in the community service club.
In the diagram, S and C represents the number of students who only play sports and are only involved in community service club, respectively. Using the given information, we can find S and C as shown below.
lcS+30=150 & (I) C+30=70 & (II)
(I), (II): LHS-30=RHS-30
lS=120 C=40
Finally, we can find the number of students that are involved in neither of the club N using the information that the total number of students is 375.
