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The image shows a problem regarding weighted grades for a class. Let's break it down step by step:

The grading scale for student grades is:
- Homework: 25%
- Classwork: 10%
- Tests: 40%
- Final Exam: 25%

The grades for each section are:
- Homework: 100, 80, 90
- Classwork: 90, 100
- Tests: 80, 88
- Final Exam: 68

### Converting Weight Percentages to Decimals:
- Homework = 25% = 0.25
- Classwork = 10% = 0.10
- Tests = 40% = 0.40
- Final Exam = 25% = 0.25

### Averaging the Scores:
- Homework average = \( \frac{100 + 80 + 90}{3} = 90 \)
- Classwork average = \( \frac{90 + 100}{2} = 95 \)
- Tests average = \( \frac{80 + 88}{2} = 84 \)
- Final Exam score = 68

### Now calculating the weighted grades:
- Homework contribution = \( 90 \times 0.25 = 22.5 \)
- Classwork contribution = \( 95 \times 0.10 = 9.5 \)
- Tests contribution = \( 84 \times 0.40 = 33.6 \)
- Final Exam contribution = \( 68 \times 0.25 = 17 \)

### Total Grade:
- Total = \( 22.5 + 9.5 + 33.6 + 17 = 82.6 \)

This gives the student's final grade as **82.6%**.

Would you like further explanation on any part of this? Here are some related questions to consider:

1. How would the total grade change if the final exam score were higher?
2. What impact does each section's weight have on the overall grade?
3. How would the grade change if another test score were added?
4. Can you calculate the final grade for different weights (e.g., Homework at 30%)?
5. How is the average calculated for each section?

**Tip:** Always make sure to convert percentage weights into decimals before performing calculations.

How do you calculate final grades based on weighted percentages for homework, classwork, tests, and a final exam, given the scores for each area?

Learn how to calculate a student's final grade by averaging their homework, classwork, test, and final exam scores and applying the appropriate weight for each section. This method involves converting percentages into decimals and performing basic arithmetic.

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