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Problem Solving

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phoenix9801 Really wants to Beat The GMAT! Default Avatar
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Problem Solving Post Sun May 20, 2012 8:16 pm
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  • Lap #[LAPCOUNT] ([LAPTIME])
    In a high school class, the average score on a test among girls was 92.6, while the average score among boys was 83.0. The average score for the class was 89. If there are 16 students in the class, which of the following represents the relationship between the number of girls (g) and boys (b) in the class?
    a) g+4=b
    b) g+2=b
    c) g=b
    d) g - 2=b
    e) g - 4=b

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    Post Sun May 20, 2012 8:53 pm
    phoenix9801 wrote:
    In a high school class, the average score on a test among girls was 92.6, while the average score among boys was 83.0. The average score for the class was 89. If there are 16 students in the class, which of the following represents the relationship between the number of girls (g) and boys (b) in the class?
    a) g+4=b
    b) g+2=b
    c) g=b
    d) g - 2=b
    e) g - 4=b
    The class average (89) is much closer to the girls' average (92.6) than to the boys' average (83), implying that the number of girls is much greater than the number of boys.

    Thus, the correct answer almost certainly is E, which implies that the number of girls is 4 more than the number of boys.
    The sum of the scores for all 16 students = 16*89 = 1424.

    Answer choice E, rephrased: g = b+4.
    Since there are 16 students, and 4 more girls than boys, b=6 and g=10.
    Sum of the scores for 6 boys with an average score of 83 and 10 girls with an average score of 92.6 = 6*83 + 10*92.6 = 498+926 = 1424.
    Success!

    The correct answer is E.

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    Post Sun May 20, 2012 10:01 pm
    92.6F+83M=89F+89N
    F+M=16
    =====

    3F=5M
    F+M=16
    F=10
    M=6


    10-4=6
    SO, E IS THE ANSW

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