Chapter 5.3, Problem 45E

Course Enrollments Table 1 shows the number of students enrolled in each of three science courses at Gotham College. Although no students are enrolled in all three courses, 15 are enrolled in both chemistry and physics, 10 are enrolled in both physics and biology, and 5 are enrolled in both biology and chemistry. How many students are enrolled in at least one of these science courses?

Table 1

Course	Enrollment
Chemistry	60
Physics	40
Biology	30

Foreign Language Courses A survey in a local high school shows that, of the 4000 students in the school,

2000 take French $\left(F\right)$

3000 take Spanish $\left(S\right)$

500 take Latin $\left(L\right)$

1500 take both French and Spanish

300 take both French and Latin

200 take Spanish and Latin

50 take all three languages.