A student's final grade is based on three exams: Exam 1 (weight 20%), Exam 2 (weight 30%), and Exam 3 (weight 50%). If the student scored 80 on Exam 1 and 70 on Exam 2, what score does the student need on Exam 3 to achieve an overall average of 75?
✓ Correct Answer: Option B
Let X be the score on Exam 3. The weighted average is (0.20 * 80) + (0.30 * 70) + (0.50 * X) = 75. This simplifies to 16 + 21 + 0.5X = 75. So, 37 + 0.5X = 75. Subtracting 37 gives 0.5X = 38, so X = 76.
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