-In class of 250 students, 75.8% took French and 49.4% took Latin. How many students took both French and Latin?
A)189.5
B)123.5
C)63.0
D)187

Question

Quizplus · Accepted Answer

To find the number of students who took both French and Latin, use the formula for the intersection of two sets: n(F ∩ L) = n(F) + n(L) - n(F ∪ L). Here, n(F) = 0.758 * 250, n(L) = 0.494 * 250, and n(F ∪ L) = 250. Solving gives n(F ∩ L) = 63.0.

-In Class of 250 Students, 75