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Math Help - What would be w? Proportions question

  1. #1
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    Question What would be w? Proportions question

    3 / 8 = w / w + 2
    3 over 8 equals w over w + 2

    3 w
    _ = _

    8 w+2

    What is w? My answer is w = 1.2 but I'm not sure.
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: What would be w? Proportions question

    Yes, that's correct.

    \frac{3}{8}=\frac{w}{w+2}

    Multiply through by 8(w+2):

    3(w+2)=8w

    3w+6=8w

    5w=6

    w=\frac{6}{5}=1.2
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  3. #3
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    Re: What would be w? Proportions question

    132 / 35 = 12 / a + 1
    132 over 35 equals 12 over a + 1

    35(12) = 132(a+1)
    430 = 132a + 132

    Do you mind telling me how to get a? Can I subtract 132 from both sides then divide by 132a?
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  4. #4
    MHF Contributor MarkFL's Avatar
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    Re: What would be w? Proportions question

    You should have:

    420 = 132a + 132

    You are almost right...subtract 132 from both sides then divide by 132, this will isolate a and give you its value.
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  5. #5
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    Re: What would be w? Proportions question

    298 = 132a

    Now I divide 298 by 132a (132a by 132) and I get this.
    2.257575757575758 = a

    Is there anyway to make this into a fraction instead?
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  6. #6
    MHF Contributor MarkFL's Avatar
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    Re: What would be w? Proportions question

    You found: 420=132a+132

    288=132a

    a=\frac{288}{132}=\frac{12\cdot24}{12\cdot11}= \frac{24}{11}
    Last edited by MarkFL; September 29th 2012 at 11:57 AM.
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