Your college professor tells you he will give you a 30%-30%-40% split on grades between homework, quizzes, and test. However which ever category you have the highest average and will be able to 40% category. What will your final grade be if your homework average of 62, your quiz average is 93, and your test average 60?

Here we want to calculate percentages of different values to find your final grade, we can conclude that your final grade will be 73.8

We know that:

you have an average of 62 in homework

you have an average of 93 on quiz

you have an average of 60 on test.

Your final grade will be a 30%-30%-40% of the above average scores, such that the 40% will be of the highest average.

We can see that the highest one is on quiz, then your final grade will be:

the 40% of your average quiz grade plus the 30% of your average homework grade plus the 30% of your average test grade.

This will be:

We can conclude that your final grade will be 73.8

If you want to learn more, you can read: