Question About Percents

Question

A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 20% of the course grade.

What is the best course grade your friend can earn? __ %

What is the minimum score would your friend would need on the final to earn a 75% for the course? __ %

Answer 1

4(82) +100 = 328+100 = 428

428/5 = 85.6 = best grade possible, if 100 is maximum possible final exam grade

85.6 is the weighted average giving 82 weight of 4 and the 100 weight of 1

to get 75, 4(82)+x = 5(75) = 375

x = 375- 328 = 47

to get a 75 final grade or more requires at least a 47 on the final exam.