Let the average score of a class of boys and girls in an examination be p. The ratio of boys and girls in the class is 3:1. If the average score of the boys is (p+1), then what is the average score of the girls?
- A. (p-1)
- B. (p-2)
- C. (p-3) ✓
- D. p
Correct Answer: C. (p-3)
Explanation
Let the number of boys be 3k and girls be k. Total score is 4kp. The boys' total score is 3k(p+1). The girls' total score is 4kp - 3k(p+1) = k(p-3). Thus, the average score of the girls is p-3.
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