A friend has a 83% 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.

Check AnswerQuestion 6

Let's break this problem into two parts:

### Part 1: Best Course Grade Your Friend Can Earn

The final exam is worth 15% of the total course grade, and your friend currently has an 83% average from the rest of the course, which accounts for the remaining 85%.

To find the best course grade, we assume that your friend scores a perfect 100% on the final exam.

The overall course grade \( G \) can be calculated using the following weighted average formula:

\[
G = (0.85 \times 83) + (0.15 \times 100)
\]

### Part 2: Minimum Score Needed on the Final to Earn 75% for the Course

To find the minimum score your friend needs on the final to earn a 75% overall, we set the overall course grade \( G \) equal to 75% and solve for the score on the final exam (denoted as \( F \)):

\[
G = (0.85 \times 83) + (0.15 \times F) = 75
\]

Now, I'll calculate both parts.### Part 1: Best Course Grade
The best course grade your friend can earn, assuming they score 100% on the final, is **85.6%**.

### Part 2: Minimum Score for a 75% Overall
To achieve a final course grade of 75%, your friend would need to score at least **29.7%** on the final exam.

Let me know if you want more details or have any questions!

Here are some related questions for further understanding:
1. What would the course grade be if your friend scores 80% on the final?
2. How does changing the weight of the final exam affect the required final exam score?
3. If the final exam were worth 20%, what score would be needed to maintain an 83% overall?
4. What is the lowest possible course grade if the final exam is failed with 0%?
5. How would the calculations change if the current average were 90%?

**Tip:** When calculating weighted averages, always ensure you correctly account for the different weights of each component.

A friend has a 83% 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? %

Learn how to calculate the best possible course grade for a student with an 83% average before the final, which counts for 15% of the total grade. Find out the minimum score required on the final exam to achieve a 75% overall grade, using weighted average formulas. Suitable for high school students.

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