Question

    In a Math exam, the average score of 50 students is 68. The ratio of boys to girls in the class is 3:2. If the average score of the boys is 70, what is the average score of the girls?

    A 68 Correct Answer Incorrect Answer
    B 67 Correct Answer Incorrect Answer
    C 66 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E none Correct Answer Incorrect Answer

    Solution

    Total marks obtained by all 50 students = 50×68 = 3400 Number of Girls = 2/5 of 50 = 20 Number of boys = 30 Total marks obtained by Boys = 30×70 = 2100 Marks obtained by girls = 3400-2100 = 1300 Average of Girls marks = 1300/20 = 65

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