Track / Stage 4 / 183 of 340 #443 of 1964

Problem 443

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

7.1 Is it possible to spend $£ 20.76$ in a 'ninety nine’ shop?
7.2 For which non-negative integers $m$ and $n$ with $n<100$ is it possible to spend $m$ pounds and $n$ pence in a 'ninety-nine' shop?

The source for this one didn't record the answer, so there is nothing to check what you type against. Work it on paper and mark yourself against the solution below.

Official solution

None

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.