MathDB

Source: 2017 Canadian Open Math Challenge, Problem B1 —-- Andrew and Beatrice practice their free throws in basketball. One day, they attempted a total of

105

free throws between them, with each person taking at least one free throw. If Andrew made exactly

1/3

of his free throw attempts and Beatrice made exactly

3/5

of her free throw attempts, what is the highest number of successful free throws they could have made between them?

Problem Statement