Question

Brian has earned 65%, 80% and 92% on his three pre-final exams. These exams are not weighed equally: the lowest counts for only 20% of his overall grade, while the other two count for 25% each. If the final exam is the remainder of the overall grade and there are no opportunities for extra credit, what is the highest grade Brian can earn in the class? Express your answer to the nearest whole percent.

Answer 1

89.25%

Explanation:

65 is the lowest so it only counts for 20% of the grade

65*0.2=16.25

80*0.25=20

92*0.25=23

There is 30% left and 100% is the highest score

100*0.3=30

16.25+20+23+30=89.25

Answer 2

86%

Explanation:

From the information give:

Exam 1

Exam result = 65%

Overall grade weighting = 20%

⇒ Credit = 65% of 20% = 0.65 × 0.2 = 0.13 = 13%

Exam 2

Exam result = 80%

Overall grade weighting = 25%

⇒ Credit = 80% of 25% = 0.8 × 0.25 = 0.2 = 20%

Exam 3

Exam result = 92%

Overall grade weighting = 25%

⇒ Credit = 92% of 25% = 0.92 × 0.25 = 0.23 = 23%

Final Exam

The highest grade Brian can earn = 100%

Overall grade weighting = 100% - 20% - 25% - 25% = 30%

⇒ Credit = 100% of 30% = 1 × 30% = 30%

Highest potential class grade

Sum of each exam credit:

⇒ 13% + 20% + 23% + 30% = 86%

Therefore, the highest grade possible that Brian can earn in the class is 86%.