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GMAT Prep : Ratios Problem

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nandy1984 Really wants to Beat The GMAT! Default Avatar
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GMAT Prep : Ratios Problem Post Tue Mar 27, 2012 10:20 pm
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    On a certain sight seeing tour, the ratio of the number of women to children was 5 to 2. What was the number of men on the sight seeing tour?

    1) On the sight seeing tour the ratio of the number of children to the number of men was 5 to 11.
    2) The number of women on the sight seeing tour was less than 30.

    My approach:

    Given: w : c = 5 : 2
    Statement 1: c : m = 5 : 11
    therefore w : c : m = 25 : 10 : 22
    there we get the ratio of number of men to the overall population as m : (m + w + c) = 22 : 57 .... from this we cannot calculate the number of men as we don't know how many people in total went for the tour. INSUFFICIENT.

    Statement2: number of women < 30
    this doesn't give any info of other people so INSUFFICIENT

    Statement 1 & 2: from 1 w = 25:57
    therefore lets say T be the total people . (25/57) * T < 30....

    I am stuck here... can anyone help me how to solve this further?.....

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    Anurag@Gurome GMAT Instructor
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    Post Tue Mar 27, 2012 11:28 pm
    Given: w : c = 5 : 2
    Let us assume that number of women, w = 5x and number of children, c = 2x for some integer x.
    If m = number of males, we have to find the value of m.

    (1) c : m = 5 : 11
    Let us assume that number of children, c = 5y and number of men, m = 11y, but this is NOT sufficient to find m.

    (2) w < 30; NOT sufficient to find m.

    Combining (1) and (2), w = 5x and w < 30 implies 5x < 30 or x < 6
    c = 5y implies c is a multiple of 5 and c = 2x implies x = 5 (as x < 6)
    So, c = 2 * 5 = 10 = 5y implies y = 2
    So, m = 11 * 2 = 22; SUFFICIENT.

    The correct answer is C.

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    Post Wed Mar 28, 2012 5:13 am
    nandy1984 wrote:
    On a certain sight seeing tour, the ratio of the number of women to children was 5 to 2. What was the number of men on the sight seeing tour?

    1) On the sight seeing tour the ratio of the number of children to the number of men was 5 to 11.
    2) The number of women on the sight seeing tour was less than 30.

    My approach:

    Given: w : c = 5 : 2
    Statement 1: c : m = 5 : 11
    therefore w : c : m = 25 : 10 : 22
    there we get the ratio of number of men to the overall population as m : (m + w + c) = 22 : 57 .... from this we cannot calculate the number of men as we don't know how many people in total went for the tour. INSUFFICIENT.

    Statement2: number of women < 30
    this doesn't give any info of other people so INSUFFICIENT

    Statement 1 & 2: from 1 w = 25:57
    therefore lets say T be the total people . (25/57) * T < 30....

    I am stuck here... can anyone help me how to solve this further?.....
    I used a similar approach. Check my solution here:

    http://www.beatthegmat.com/ratio-proportion-t82796.html

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    Thanked by: nandy1984
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    nandy1984 Really wants to Beat The GMAT! Default Avatar
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    Post Wed Mar 28, 2012 5:30 am
    GMATGuruNY wrote:
    nandy1984 wrote:
    On a certain sight seeing tour, the ratio of the number of women to children was 5 to 2. What was the number of men on the sight seeing tour?

    1) On the sight seeing tour the ratio of the number of children to the number of men was 5 to 11.
    2) The number of women on the sight seeing tour was less than 30.

    My approach:

    Given: w : c = 5 : 2
    Statement 1: c : m = 5 : 11
    therefore w : c : m = 25 : 10 : 22
    there we get the ratio of number of men to the overall population as m : (m + w + c) = 22 : 57 .... from this we cannot calculate the number of men as we don't know how many people in total went for the tour. INSUFFICIENT.

    Statement2: number of women < 30
    this doesn't give any info of other people so INSUFFICIENT

    Statement 1 & 2: from 1 w = 25:57
    therefore lets say T be the total people . (25/57) * T < 30....

    I am stuck here... can anyone help me how to solve this further?.....
    I used a similar approach. Check my solution here:

    http://www.beatthegmat.com/ratio-proportion-t82796.html
    Super ..... its a small twist we need to know " The ratios can be written in their multiples"..... Got it... Super Likes....

    nandy1984 Really wants to Beat The GMAT! Default Avatar
    Joined
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    Post Wed Mar 28, 2012 5:34 am
    GMATGuruNY wrote:
    nandy1984 wrote:
    On a certain sight seeing tour, the ratio of the number of women to children was 5 to 2. What was the number of men on the sight seeing tour?

    1) On the sight seeing tour the ratio of the number of children to the number of men was 5 to 11.
    2) The number of women on the sight seeing tour was less than 30.

    My approach:

    Given: w : c = 5 : 2
    Statement 1: c : m = 5 : 11
    therefore w : c : m = 25 : 10 : 22
    there we get the ratio of number of men to the overall population as m : (m + w + c) = 22 : 57 .... from this we cannot calculate the number of men as we don't know how many people in total went for the tour. INSUFFICIENT.

    Statement2: number of women < 30
    this doesn't give any info of other people so INSUFFICIENT

    Statement 1 & 2: from 1 w = 25:57
    therefore lets say T be the total people . (25/57) * T < 30....

    I am stuck here... can anyone help me how to solve this further?.....
    I used a similar approach. Check my solution here:

    http://www.beatthegmat.com/ratio-proportion-t82796.html
    Please help me on this Problem too : http://www.beatthegmat.com/gmat-prep-percentages-hard-t109151.html

    Thanks...

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