These are sample practice MCQs created for exam preparation. These are NOT official exam questions.
In a class of 50 students, the average score on a test was 72. If the average score of the boys was 68 and the average score of the girls was 76, how many boys were in the class?
Question:
In a class of 50 students, the average score on a test was 72. If the average score of the boys was 68 and the average score of the girls was 76, how many boys were in the class?
In a class of 50 students, the average score on a test was 72. If the average score of the boys was 68 and the average score of the girls was 76, how many boys were in the class?
Options
Answer: (C) 25
Explanation:
Let b = number of boys, g = number of girls. b + g = 50. Total score = 72 × 50 = 3600. Boys score = 68b, Girls score = 76g. Equation: 68b + 76g = 3600. From b + g = 50: g = 50 - b. Substituting: 68b + 76(50 - b) = 3600. Solving: 68b + 3800 - 76b = 3600, so -8b = -200, b = 25.
Explanation:
Let b = number of boys, g = number of girls. b + g = 50. Total score = 72 × 50 = 3600. Boys score = 68b, Girls score = 76g. Equation: 68b + 76g = 3600. From b + g = 50: g = 50 - b. Substituting: 68b + 76(50 - b) = 3600. Solving: 68b + 3800 - 76b = 3600, so -8b = -200, b = 25.
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