Results 1 to 4 of 4

Math Help - Changing ratios

  1. #1
    Newbie
    Joined
    Dec 2010
    Posts
    4

    Changing ratios

    Please help me work through the below problem, thanks in advance!

    The number of stamps the Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number of stamps Kaye had to the number Alberto had was 7:5. As a result of this gift, Kaye had how many more stamps than Alberto?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    Oct 2009
    Posts
    769
    Quote Originally Posted by mtylerrose View Post
    Please help me work through the below problem, thanks in advance!

    The number of stamps the Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number of stamps Kaye had to the number Alberto had was 7:5. As a result of this gift, Kaye had how many more stamps than Alberto?
    How far did you get? Are you able to set up an equation and then solve it?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Dec 2010
    Posts
    4
    I researched ratios further, and I think I just got it!

    It's helpful to find the total number of stamps between them and then find their respective share post gift.

    I see that Kaye's share post gift is 5/8 of the total minus 10 equals 7/12 of the total, or 5x/8 - 10 = 7x/5. Solving for x, the total number of stamps is 240. Returning to the post gift ratio, Kaye has 7/12 x 240 = 140 stamps and Alberto has 5/12 x 240 = 100 stamps. The difference between the two is 40. Kaye has 40 more stamps than Alberto after she gave him 10.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Banned
    Joined
    Oct 2009
    Posts
    769
    Quote Originally Posted by mtylerrose View Post
    I researched ratios further, and I think I just got it!

    It's helpful to find the total number of stamps between them and then find their respective share post gift.

    I see that Kaye's share post gift is 5/8 of the total minus 10 equals 7/12 of the total, or 5x/8 - 10 = 7x/5. Solving for x, the total number of stamps is 240. Returning to the post gift ratio, Kaye has 7/12 x 240 = 140 stamps and Alberto has 5/12 x 240 = 100 stamps. The difference between the two is 40. Kaye has 40 more stamps than Alberto after she gave him 10.
    The next step is to check your assumed answer. If it checks out, then you have solved the problem.
    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: 3
    Last Post: March 24th 2010, 01:27 AM
  3. multiplying ratios without knowing the ratios?
    Posted in the Statistics Forum
    Replies: 1
    Last Post: September 28th 2009, 07:59 AM
  4. ratios?
    Posted in the Algebra Forum
    Replies: 13
    Last Post: July 2nd 2009, 08:34 PM
  5. HELP!!! ratios! ack!!
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 9th 2008, 08:32 PM

Search Tags


/mathhelpforum @mathhelpforum