Library / /53 of 61

, 2024

Algebra Difficulty 3.0 AMC 10/12 Prove it United Kingdom

My piggy bank contains $x$ pound coins and $y$ pennies and rattles nicely. If instead it contained $y$ pound coins and $x$ pennies, then I would only have half as much money. What is the smallest amount of money my piggy bank could contain?

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

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.