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MathNet 2020 — Math Olympiad Vault — Part 05 Question 21

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05

Question 21

A class has 70 students, with the following information:
I) 14 boys passed mathematics;
II) 12 boys passed physics;
III) 10 boys and 16 girls passed neither mathematics nor physics;
IV) 32 students are boys;
V) 10 students passed both subjects;
VI) 22 students passed mathematics only.
How many girls passed physics only?