The results of asking 50 students if they participate in music or sports are shown in the Venn diagram. What percentage of the 50 students do not participate in music and do not participate in sports?
(A) $0 \%$
(B) $80 \%$
(C) $20 \%$
(D) $70 \%$
(E) $40 \%$

![](https://cdn.mathpix.com/cropped/2024_04_20_6027bc27089ed4fc493cg-008.jpg?height=260&width=382&top_left_y=195&top_left_x=1338)
Reading from the Venn diagram, 5 students participate in both music and sports, 15 students participate in music (and not sports), and 20 students participate in sports (and not music). Thus, there are $5+15+20=40$ students that participate in music or sports or both, and so there are $50-40=10$ students that do not participate in music and do not participate in sports.

Of the 50 students, $\frac{10}{50} \times 100 \%=20 \%$ do not participate in music and do not participate in sports.