Maths Olympiad Prep

Library / UKMT Pink Kangaroo /93 of 220

UKMT Pink Kangaroo, 2019

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Pedro is asked to find three kangaroos whose weights are all whole numbers of kilograms and whose total weight is 97 kg. What is the largest possible weight of the lightest of the kangaroos Pedro could find?

(A) 11 kg (B) 3030 kg (C) 3131 kg (D) 3232 kg (E) 3333 kg

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.