Maths Olympiad Prep

Library / UKMT Senior Mathematical Challenge /191 of 212

UKMT Senior Mathematical Challenge, 2022

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In 2021, a first class postage stamp cost 85p and a second class postage stamp cost 66p. In order to spend an exact number of pounds and to buy at least one of each type, what is the smallest total number of stamps that should be purchased?

(A) 1010 (B) 88 (C) 77 (D) 55 (E) 22

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.