Maths Olympiad Prep

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Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Every pupil in a class either swims or dances. Three fifths of the class swim and three fifths dance. Five pupils both swim and dance. How many pupils are in the class?

(A) 1515 (B) 2020 (C) 2525 (D) 3030 (E) 3535

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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.