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

Question

Mathematics

Keon Glenn

3 November, 04:19

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

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Kailyn Bolton · 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