Maths Olympiad Prep

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, 2015

Algebra Difficulty 2.0 Junior Prove it United Kingdom

My fruit basket contains apples and oranges. The ratio of apples to oranges in the basket is 3:83:8. When I remove one apple the ratio changes to 1:31:3. How many oranges are in the basket?

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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.