Let's verify if the grades of Student A and Student B match the overall grades given (97 and 82, respectively) based on the weights provided earlier (20% for each classwork and 25% for the test).

Student A:

• Classwork 1: 86 (worth 20%)
• Classwork 2: 100 (worth 20%)
• Test: 100 (worth 25%)

We calculate Student A's overall grade as follows:

1. Classwork 1: $86 \times 0.20 = 17.2$
2. Classwork 2: $100 \times 0.20 = 20$
3. Test: $100 \times 0.25 = 25$

Now, sum these contributions:

$17.2 + 20 + 25 = 62.2$

For Student A to have an overall grade of 97, the remaining percentage (35%) must account for the rest:

$97 - 62.2 = 34.8$

This 34.8% would need to come from other components not mentioned or adjusted weights.

Student B:

• Classwork 1: 100 (worth 20%)
• Classwork 2: 86 (worth 20%)
• Test: 73 (worth 25%)

We calculate Student B's overall grade as follows:

1. Classwork 1: $100 \times 0.20 = 20$
2. Classwork 2: $86 \times 0.20 = 17.2$
3. Test: $73 \times 0.25 = 18.25$

Now, sum these contributions:

$20 + 17.2 + 18.25 = 55.45$

For Student B to have an overall grade of 82, the remaining percentage (35%) must account for the rest:

$82 - 55.45 = 26.55$

Similar to Student A, this discrepancy suggests either other grading components or adjusted weights.

Would you like more details or further clarification?

Relative Questions:

1. How would adjusting the weights of classwork and tests affect the overall grades?
2. What components might be missing to explain the differences in overall grades?
3. How does extra credit influence final grades in this scenario?
4. What if Student A had a lower test score—how would that impact their overall grade?
5. How can grades be scaled to ensure consistency across different assessments?

Tip:

When calculating grades, always ensure that the weight of each component adds up to 100% and check for any other components or adjustments that might affect the overall grade.