Library / UKMT Grey Kangaroo /187 of 242

UKMT Grey Kangaroo, 2026

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Three kangaroos wanted to share some radishes. Initially, they shared them in the ratio $7:6:5$ but then changed their minds and shared them in the ratio $6:5:4$ in the same order. As a result of this change, one kangaroo received four extra radishes. How many radishes did they share?

(A) $270$ (B) $300$ (C) $360$ (D) $420$ (E) $480$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

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.