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    Question

    In a classroom, the average score of 15 students on a

    test is 44 points. If 5 new students, each with an average score of 'x' points, join the class, and 8 students, each with an average score of '(x тАУ 6)' points, leave the class, the new average score of the 12 remaining students becomes '(x тАУ 1)' points. What is the total score of these 12 students?
    A 500 Correct Answer Incorrect Answer
    B 564 Correct Answer Incorrect Answer
    C 456 Correct Answer Incorrect Answer
    D 556 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, The sum of the score of 15 students on a test is = 44 ├Ч 15 = 660 The sum of the the score of 5 students is = 5 ├Ч a = 5a The sum of the score of 8 students is = 8(a тАУ 6) = (8a тАУ 48) The sum of the score of 12 students is = 12(a тАУ 1) = (12a тАУ 12) According to the question, 660 + 5a тАУ (8a тАУ 48) = 12a тАУ 12 660 + 5a тАУ 8a + 48 = 12a тАУ 12 660 + 48 + 12 = 12a + 3a 720 = 15a a = 48 a = 48 Average score of 12 students is = 48 тАУ 1 = 47 The sum of the score of 12 students is = 47 ├Ч 12 = 564

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