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Question:

20% of a student's final grade for each semester comes from the final semester exam. The average of each quarter is worth 40%. What would a student need to make on the exam if she wanted to have a semester average of at least 92 and the first quarter average was 93, the second quarter's average was 89 ? (The final average will be rounded up to the nearest whole number.)

A 96
explanation

Each quarter's grade is worth 40% and the final exam is worth 20%. Use the following equation:
93 x 40% +89 x 40% + FG x 20% = 92, where FG is the final exam.
37.2 +35.6 + 0.2(FG) = 92
0.2(FG) = 19.2
FG = 19.2/0.2 = 96