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Problem 229

Combinatorics Difficulty 1.4 Multiple choice CEMC Gauss (Grade 8) · Canada · 2020

Each Tuesday, a bus makes its first stop at Gauss Public Library at 1 p.m. It continues to stop at the library every 20 minutes. Its last stop is at 6 p.m. What is the total number of times that the bus stops at Gauss Public Library on a Tuesday?

Pick one

Official solution

Each of 7 boxes contains exactly 10 cookies, and so the total number of cookies is $7\times10=70$ . If the cookies are shared equally among 5 people, then each person receives $70\div5=14$ cookies.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.