Track / Stage 4 / 199 of 340 #459 of 1964

Problem 459

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 reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.