Problem 1:

Given Gary's and Ivy's scores, suppose the next test will have 20 points worth of questions, is it possible for each to reach a 90% average for 6 quizzes.

Problem 2:

Suppose in the next quiz worth 15 points, Gary and Ivy have 77% and 73% scores respectively. Who will have a higher average score?

Problem 3:

Suppose that the next quiz is worth 20 points and reaching an average of 85% in 6 quizzes will exempt them to the exam. Can the two of them get exempted and what will be the minimum score required?

Scores of Gary and Ivy in five math quizzes:

Gary's scores: 25/30, 12/15, 6/10, 18/20 and 21/25

Ivy's scores: 27/30, 12/15, 7/10, 16/20 and 22/25