Problem:
At the beginning of the school year, Lisa's goal was to earn an A on at least of her 50 quizzes for the year. She earned an A on 22 of the first 30 quizzes. If she is to achieve her goal, on at most how many of the remaining quizzes can she earn a grade lower than an ?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
To earn an A on at least of her quizzes, Lisa needs to receive an A on at least quizzes. Thus she must earn an on at least of the remaining 20. So she can earn a grade lower than an A on at most of the remaining quizzes.
The problems on this page are the property of the MAA's American Mathematics Competitions