Question

WHOS GOOD AT GEO PLEASE HELP ME!!!!!
The Venn diagram represents the Quantum Physics High School student body. Circle A represents all students enrolled in extracurricular activities. Circle B represents all female students. There are 117 female students enrolled in extracurricular activities, and the enrollment of the high school is 1,000 students. There are 450 male students. How many female students are not enrolled in extracurricular activities?

A.
117
B.
433
C.
550
D.
883

Answer 1

Answer:

D

Step-by-step explanation:

Answer 2

From the total 1000 students, 450 are male, so 1000 - 450 = 550 students are female.

117 students are both [enrolled in extracurriculars] and [female].

The total number of [female] students is equal to the total number of [female AND enrolled] students plus the total number of [female AND not enrolled] students. The events of being enrolled in extracurriculars and not being enrolled are mutually exclusive. So if x is the number of female students not enrolled in extracurriculars, then

550 = x + 117

x = 550 - 117

x = 433

and the answer is B.