Math Prize 2010 Problem 9
Source:
November 14, 2010
inequalities
Problem Statement
Lynnelle took 10 tests in her math class at Stanford. Her score on each test was an integer from 0 through 100. She noticed that, for every four consecutive tests, her average score on those four tests was at most 47.5. What is the largest possible average score she could have on all 10 tests?