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    Question

    A class of 50 students has an average Chemistry exam

    score of 65. There average of boys and girls are 3: 2 in the class. Boys have an average score of 73. If 5 girls, each with a score of 62, leave the class, what will be the new average score for the remaining girls?
    A 40 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 50 Correct Answer Incorrect Answer
    D 55 Correct Answer Incorrect Answer

    Solution

    Total marks obtained by all 50 students = 50×65 = 3250 Number of Girls = 2/5 of 50 = 20 Number of boys = 30 Total marks obtained by Boys = 30×73 = 2190 Marks obtained by girls = 3250-2190 = 1060 Marks of 5 girls who were to leave the class = 5 × 62 = 310 Remaining marks of 15 girls = 1060-310 = 750 New average marks of the girls = 750/15 = 50

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