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Ben is taking three AP classes and two regular classes. His AP classes count twice as much as his regular classes in his GPA. Each A is worth 4 points, Bs are worth 3 points, Cs are worth 2 points, and Ds are worth 1 point. What is Ben's GPA?

| Class | Ben's Grade |
|---------------|-------------|
| AP English | B |
| AP Government | B |
| AP Algebra II | A |
| Spanish | B |
| Physics | D |

A. 1.7
B. 3.0
C. 4.0
D. 2.8

Answer :

To calculate Ben's GPA with the given conditions, follow these steps:

1. Understand the Grade Points System:
- An 'A' is worth 4 points.
- A 'B' is worth 3 points.
- A 'C' is worth 2 points.
- A 'D' is worth 1 point.

2. Account for Weighting of AP Classes:
- AP classes count twice as much as regular classes. This means the points from an AP class are multiplied by 2.

3. List Ben's Classes and Grades:
- AP English: B
- AP Government: B
- AP Algebra II: A
- Spanish: B
- Physics: D

4. Calculate Weighted Grade Points:
- AP English: B (3 points) × 2 (weight) = 6 points
- AP Government: B (3 points) × 2 (weight) = 6 points
- AP Algebra II: A (4 points) × 2 (weight) = 8 points
- Spanish: B (3 points) × 1 (weight) = 3 points
- Physics: D (1 point) × 1 (weight) = 1 point

5. Sum the Weighted Grade Points:
- Total weighted points = 6 (AP English) + 6 (AP Government) + 8 (AP Algebra II) + 3 (Spanish) + 1 (Physics) = 24 points

6. Calculate the Total Number of Weight Units:
- Since AP classes are weighted twice:
- AP English: 2 units
- AP Government: 2 units
- AP Algebra II: 2 units
- Regular classes are counted once:
- Spanish: 1 unit
- Physics: 1 unit
- Total weight units = 2 + 2 + 2 + 1 + 1 = 8 units

7. Compute the GPA:
- Divide the total weighted points by the total number of weight units:
- GPA = Total weighted points / Total weight units = 24 / 8 = 3.0

So, Ben's GPA is 3.0.

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