Results 1 to 4 of 4

Math Help - ratios

  1. #1
    Junior Member
    Joined
    Jun 2007
    Posts
    60

    Question ratios

    I have 2 hexagons with a ratio of similarity of 3/4. If I have 3a+b and a+2b, what is a/b?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by sanee66 View Post
    I have 2 hexagons with a ratio of similarity of 3/4. If I have 3a+b and a+2b, what is a/b?
    what do the variables a and b represent?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jun 2007
    Posts
    60

    ratios

    3a+b is on one hexagon and a+2b is on the other
    Follow Math Help Forum on Facebook and Google+

  4. #4
    is up to his old tricks again! Jhevon's Avatar
    Joined
    Feb 2007
    From
    New York, USA
    Posts
    11,663
    Thanks
    3
    Quote Originally Posted by sanee66 View Post
    I have 2 hexagons with a ratio of similarity of 3/4. If I have 3a+b and a+2b, what is a/b?
    since you neglected to give the diagram, i will assume that the relationship is meant to be:


    (3a + b) \mbox { : } (a + 2b) = 3:4

    \Rightarrow \frac {3a + b}{a + 2b} = \frac {3}{4}

    \Rightarrow 12a + 4b = 3a + 6b ...........i cross-multiplied

    \Rightarrow 9a - 2b = 0

    dividing through by b (since i'm confident it's not zero, as the ratio given won't work if it was), we get:

    \frac {9a}{b} - 2 = 0

    \Rightarrow \frac {a}{b} = \frac {2}{9}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. ratios and trig ratios
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: November 7th 2011, 09:45 AM
  2. ratios
    Posted in the Algebra Forum
    Replies: 4
    Last Post: July 26th 2010, 06:39 AM
  3. Ratios?
    Posted in the Statistics Forum
    Replies: 2
    Last Post: June 28th 2010, 09:17 PM
  4. multiplying ratios without knowing the ratios?
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 28th 2009, 07:59 AM
  5. ratios?
    Posted in the Algebra Forum
    Replies: 13
    Last Post: July 2nd 2009, 08:34 PM

Search Tags


/mathhelpforum @mathhelpforum