Results 1 to 4 of 4

Thread: Need help with real life math problem

  1. #1

    Need help with real life math problem

    Need help with a math problem at work. Not sure if I'm posting in the correct area as its been longer than I'd like to admit since I was in college.

    This problem deals with agriculture; specifically low cost methods in bulk fertilizer blending for farmers.

    I'm trying to find an equation that fits the following problem:

    Two constants 21 & 46
    What combination of 24.47% will get you equal to or closest to 5.337.

    So for example:

    21 x 24.00% = 5.04
    46 x 0.47% = 0.21
    .......24.47%.. 5.25

    The goal is to find an equation that will find the combination of percentages, who's sum is equal to 24.47%, that will get you equal to or closest to 5.337.

    I'm probably not wording it correctly, but its driving me nuts. Any help would be much appreciated.

    Thx,
    C

  2. #2
    Elite Member
    Join Date
    Apr 2005
    Location
    USA
    Posts
    8,929
    It's not perfectly clear what it is you are doing. I make no promises that the solution to the problem, as it has been presented, will make crops grow any better, but it is likely it can be solved for directly and exactly.

    The difficulty is dividing up the 24.47%. Break out your best algebra an initially jut play like you know the answer.

    "A" = the piece of 24.47% applied to 21.
    0.2447 - A = the piece of 24.47% applied o 46.
    Do you see how that identification works? 24.47% is the same as 0.2447, right?

    Now, we can use your calculation: 21*A + 46*(0.2447 - A) = 5.337 to represent the EXACT solution to the partitioning.

    Time for algebra, again... Can you solve for A?

    Note: If you get something like A = 0.2800 or A = -.1500, then something is serious wrong. Can you see why? This is your quiz for the day.
    "Unique Answers Don't Care How You Find Them." - Many may have said it, but I hear it most from me.

  3. #3
    Elite Member
    Join Date
    Feb 2004
    Location
    Ottawa, Ontario
    Posts
    16,675
    Quote Originally Posted by cgardner1 View Post
    I'm trying to find an equation that fits the following problem:

    Two constants 21 & 46
    What combination of 24.47% will get you equal to or closest to 5.337.

    So for example:

    21 x 24.00% = 5.04
    46 x 0.47% = 0.21
    .......24.47%.. 5.25
    Does this represent what you're after as exact result:
    (now, * is the multiplication symbol!)

    21 * 23.6768% = 4.9724
    46 * 00.7932% = 0.3648
    .......24.4700%.. 5.3372


    If so, then these are the steps:

    k = percentage applicable to "21"

    21k + 46(.2447 - k) = 5.337
    21k + 11.2562 - 46k = 5.337
    46k - 25k = 11.2562 - 5.337
    21k = 5.9192
    k = 5.9192 / 21 = .236768 = 23.6768%
    I'm just an imagination of your figment !

  4. #4
    Elite Member stapel's Avatar
    Join Date
    Feb 2004
    Posts
    15,540

    Cool

    Quote Originally Posted by cgardner1 View Post
    This problem deals with agriculture; specifically low cost methods in bulk fertilizer blending for farmers. I'm trying to find an equation that fits the following problem:

    Two constants 21 & 46
    For what do these constants stand? How do they relate to mixing fertilizer? What are their units? (kilograms? pounds? per/hectare? moles? something else?)

    Quote Originally Posted by cgardner1 View Post
    What combination of 24.47%...
    "A combination" is necessarily comprised of at least two inputs. You've provided a percentage of one input (I think?). How does this percentage relate to the inputs? How many imputs are there?

    Quote Originally Posted by cgardner1 View Post
    ...will get you equal to or closest to 5.337.
    "Will get you equal or closest to", in what sense? What is the error range, and what are its units? Also, is "5.337" an absolute number, or another percentage? Either way, how much of which input is this, or is this related instead to the output?

    Quote Originally Posted by cgardner1 View Post
    So for example:

    21 x 24.00% = 5.04
    46 x 0.47% = 0.21
    .......24.47%.. 5.25
    Yeah.... I don't understand this either. Sorry!

Bookmarks

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •