MathDB

At the Mountain School, Micchell is assigned a submissiveness rating of

3.0

4.0

for each class he takes. His college potential is then defined as the average of his submissiveness ratings over all classes taken. After taking 40 classes, Micchell has a college potential of

3.975

. Unfortunately, he needs a college potential of at least

3.995

to get into the [url=http://en.wikipedia.org/wiki/Accepted#Plot]South Harmon Institute of Technology. Otherwise, he becomes a rock. Assuming he receives a submissiveness rating of

4.0

in every class he takes from now on, how many more classes does he need to take in order to get into the South Harmon Institute of Technology?
Victor Wang

Problem Statement