Results 1 to 2 of 2

Math Help - Ratios problem

  1. #1
    Junior Member
    Joined
    Jan 2008
    Posts
    63

    Ratios problem

    A 30ft long board is cut into 2 pieces. The ratio of the lengths of the 2 pieces is 2:3. What is the length, to the nearest foot, of the shorter piece?

    How can you conclude that it is 12?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Math Engineering Student
    Krizalid's Avatar
    Joined
    Mar 2007
    From
    Santiago, Chile
    Posts
    3,654
    Thanks
    11
    For these problems, think always to set a constant.

    You have a condition which says that the ratio of the lengths of the 2 pieces is 2:3.

    So let (x,y)=(2k,3k) be such lenghts. (Where k is a positive constant.)

    But you know that board's lenght is 30 ft, so x+y=30, it means 2k+3k=5k=30 and k=6.

    The rest follows.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 5
    Last Post: May 29th 2011, 03:10 PM
  2. A problem on triangles (area, ratios)
    Posted in the Geometry Forum
    Replies: 38
    Last Post: May 16th 2011, 04:32 AM
  3. A Problem in Ratios
    Posted in the Algebra Forum
    Replies: 1
    Last Post: April 19th 2010, 07:26 AM
  4. Trigonometry Problem: Possibly Using the Ratios
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: April 5th 2010, 12:28 AM
  5. multiplying ratios without knowing the ratios?
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 28th 2009, 07:59 AM

Search Tags


/mathhelpforum @mathhelpforum