Question

The Venn diagram represents all students attending Pythagorean High School. Circle A represents all students that are enrolled in extracurricular activities. Circle B represents all female students. There are 200 females not enrolled in extracurricular activities, the enrollment of the high school is 1,000, and there are 450 male students. How many students are represented by the portion of the Venn diagram not in either circle if 90 male students are enrolled in extracurricular activities

Answer 1

Total population of school = 1000
1000 - 450 males = 550 female students
550 - 200 females not in extra curriculars = 350 females in extra curriculars
350 + 90 males in extra curriculars = 440 total in extra curriculars
Circle A = 440
Circle B - overlap = 200 females not in extra curriculars
440 + 200 = 640
1000 - 640 = 370 students represented by the portion of the Venn diagram not in either circle