SOLUTION: A friend has a 81% average before the final exam for a course. That score includes everything but the final, which counts for 15% of the course grade. What is the best course gr

Question 1175104: A friend has a 81% average before the final exam for a course. That score includes everything but the final, which counts for 15% of the course grade.
What is the best course grade your friend can earn? %
What is the minimum score your friend would need on the final to earn a 75% for the course? %
Give answers accurate to at least one decimal place.
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!

I'll let you do the work....

(1) The best grade he can get is if he gets 100% on the final. It counts 15% of the total grade; his current average counts for 85% of his grade. His best possible final grade is

(2) Let x be the minimum grade he can get on the final. Then his final grade is 85% of his current average of 81, plus 15% of x. You want that average to be 75%:

The first problem only involves performing a calculation; the second requires solving an equation using basic algebra....

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