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Number theory Difficulty 3.0 AMC 10/12 Prove it United Kingdom

A bookmark-maker sells bookmarks for £1 each or 7 for £6. What is the smallest amount you could pay for 2017 of her bookmarks?

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.