Results 1 to 2 of 2

Math Help - Percentage and ratio

  1. #1
    Newbie
    Joined
    Jul 2011
    Posts
    11

    Percentage and ratio

    There were some blue marbles and white marbles in a bag. If 70 blue marbles were to be removed from the bag, the ratio of the number of blue to white marbles would be 3:4. If 112 white marbles were to be removed from the bag instead, the ratio of the number of blue marbles to the number of white marbles would be 8:7. When 48 more blue marbles were to be added into the bag, what percentage of all the marbles would be blue marbles?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Flow Master
    mr fantastic's Avatar
    Joined
    Dec 2007
    From
    Zeitgeist
    Posts
    16,948
    Thanks
    5

    Re: Percentage and ratio

    Quote Originally Posted by fleurdel View Post
    There were some blue marbles and white marbles in a bag. If 70 blue marbles were to be removed from the bag, the ratio of the number of blue to white marbles would be 3:4. If 112 white marbles were to be removed from the bag instead, the ratio of the number of blue marbles to the number of white marbles would be 8:7. When 48 more blue marbles were to be added into the bag, what percentage of all the marbles would be blue marbles?
    The answer is 100(X + 48)/(X + 48 + Y), where X and Y are given by:

    (X - 70)/Y = 3/4 .... (1)

    X/(Y - 112) = 8/7 .... (2)

    Part of your job is to figure out what X and Y represent and where these two equations have come from. The other part is to solve equations (1) and (2) for X and Y.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: August 26th 2011, 10:19 PM
  2. Replies: 1
    Last Post: June 1st 2010, 11:33 PM
  3. Replies: 1
    Last Post: May 9th 2010, 07:32 PM
  4. really hard percentage, ratio and indices question
    Posted in the Math Topics Forum
    Replies: 6
    Last Post: October 18th 2009, 10:32 AM
  5. Percentage to Ratio?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: January 26th 2009, 09:00 AM

Search Tags


/mathhelpforum @mathhelpforum