Results 1 to 3 of 3

Math Help - Mixing problem

  1. #1
    Junior Member
    Joined
    Mar 2009
    Posts
    52

    Mixing problem

    Q) Two containers of equal capacity are full of mixture of oil and water.In the first the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixture are mixed in a big container.what is the resulting ratio of oil to water?

    Thanks,
    Ashish
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,812
    Thanks
    116
    Quote Originally Posted by a69356 View Post
    Q) Two containers of equal capacity are full of mixture of oil and water.In the first the ratio of oil to water is 4:7 and in the second it is 7:11. Now both the mixture are mixed in a big container.what is the resulting ratio of oil to water?

    Thanks,
    Ashish
    Let V denote the volume of one container.

    The the amount of oil is:

    \dfrac4{11} V + \dfrac7{18} V = \dfrac{149}{198} V

    and the amount of water is:

    \dfrac7{11} V + \dfrac{11}{18} V = \dfrac{247}{198} V

    Both amounts add up to 2 V.

    Now calculate the new ratio.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Like a stone-audioslave ADARSH's Avatar
    Joined
    Aug 2008
    From
    India
    Posts
    726
    Thanks
    2
    lets say each container had capacity of x
    volume of oil in first = 4x/(4+7) = 4x/11

    Volume of water = 7x/11

    In the second container

    volume of water = 11x/18

    volume of oil =7x/18

    So total volume of oil = 7x/18 +4x/11

    Volume of water = 11x/18 + 7x/11

    So ratio = \frac{Volume ~of ~oil}{Volume~ of ~water}...go ahead
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Mixing problem
    Posted in the Calculus Forum
    Replies: 2
    Last Post: April 9th 2011, 05:33 AM
  2. A Mixing Problem....
    Posted in the Differential Equations Forum
    Replies: 4
    Last Post: January 27th 2011, 06:14 PM
  3. mixing problem
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: July 12th 2010, 11:31 PM
  4. D.e mixing problem
    Posted in the Differential Equations Forum
    Replies: 1
    Last Post: April 28th 2010, 09:52 AM
  5. mixing problem
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 10th 2009, 01:55 AM

Search Tags


/mathhelpforum @mathhelpforum