Maths Olympiad Prep

Library / UKMT Intermediate Mathematical Challenge /28 of 267

UKMT Intermediate Mathematical Challenge, 2021

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

April, May and June have 90 sweets between them. May has three-quarters of the number of sweets that June has. April has two-thirds of the number of sweets that May has. How many sweets does June have?

(A) 6060 (B) 5252 (C) 4848 (D) 4040 (E) 3636

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.