Results 1 to 4 of 4

Math Help - How to solve a word problem with 3 variables

  1. #1
    Newbie
    Joined
    Mar 2009
    Posts
    3

    How to solve a word problem with 3 variables

    Here is the question. Sal, Martin, and Gloria are partners in a welding business. Because of the differences in their contributions, it is decided that Golria's share of the profits will be one-and-a-half times as much as Sal's share, and that Martin's share will be twice as much as Gloria's share. How should a profit of $48,200.00 be divided?


    If I could only find out what Sal's portion is then I know that would be multiplied by 1.5 and that would give me Goloria's portion which I would multiply by 2 which would give me Martin's portion then add Sal plus Gloria plus Martin should equal $48,200.00. However the most important variable I need to solve for I don't know how to set up the equation. If someone would be as kind as to break this down step by step showing me what to write in algebra form I would really appreciate it. Thanks again.
    Last edited by Mililani Stickman; March 26th 2009 at 01:34 PM. Reason: spelling
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Junior Member
    Joined
    Apr 2008
    Posts
    30
    Let x = Sal's share
    Let 1.5x = Gloria's share
    Let 2(1.5x) = 3x = Martin's share

    Now x + 1.5x + 3x = $48,200
    implies 5.5x = $48, 200
    implies x = $8763.64

    So, Sal earns $8763,64, Gloria earns 1.5(8763.64)=$13145.45 and Martin earns $26,290.91
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2009
    Posts
    3

    how to solve a word problem

    Thankyou GoldendoodleMom I was really confused. But you made it look so simple and easy. I've spend a couple of days on this one I really wanted to get it. Was one of my mistakes assigning each person a different letter variable I was using X=Sal, Y=Goloria and Z=Martin.
    So Y=1.5X and Z=2y then I really got confused trying to move thing around it was a mess. How come I tried setting up the equation this way?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member Aryth's Avatar
    Joined
    Feb 2007
    From
    USA
    Posts
    652
    Thanks
    2
    Awards
    1
    Let's say we just look at Sal's share.

    We call Sal's share s.

    We are told that Gloria will get 1.5 times as much as Sal. Simply put, this is 1.5 times Sal's share, s, which is 1.5s.

    We are then told that Martin gets 2 times what Gloria gets. Which means that this is 2 times Gloria's share, which is 1.5s. This is 2 x 1.5 s = 3s.

    So, now we have it all in one variable.

    You could put it in 3 variables, but ultimately, you would have to know how the three variables relate to one another to solve the problem.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Word problem w/ three variables
    Posted in the Algebra Forum
    Replies: 7
    Last Post: October 25th 2010, 10:26 PM
  2. Hard word problem, equation with 2 variables?
    Posted in the Algebra Forum
    Replies: 1
    Last Post: September 18th 2010, 10:49 PM
  3. Age word problem using 2 variables
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 5th 2009, 01:04 PM
  4. Help with seperation of variables word problem
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: September 4th 2009, 12:55 PM
  5. Replies: 1
    Last Post: November 26th 2008, 12:23 PM

Search Tags


/mathhelpforum @mathhelpforum