Question
A friend has a 85% 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?
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Answer to a math question A friend has a 85% 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?
Hank
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1. Let the current average be represented as C = 85\%
2. Let the final exam score be represented as F
3. The final exam counts as 20% of the final grade, and the rest of the coursework counts for 80%.
4. The overall grade can be calculated by:
\text{Overall Grade} = 0.80 \times C + 0.20 \times F
5. Substitute the current average into the equation:
\text{Overall Grade} = 0.80 \times 85 + 0.20 \times 100
6. Calculate the overall grade:
\text{Overall Grade} = 68 + 20
7. The best course grade your friend can earn is:
88\%
2. Let the final exam score be represented as
3. The final exam counts as 20% of the final grade, and the rest of the coursework counts for 80%.
4. The overall grade can be calculated by:
5. Substitute the current average into the equation:
6. Calculate the overall grade:
7. The best course grade your friend can earn is:
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