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University of Kentucky College of Agriculture

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Balancing Rations

Balancing Rations

Pearson's Square

  • oldest and simplest method of balancing rations
  • can only be used to determine the proportions of two ingredients
  • frequently used for smaller herds and flocks
The method:

Step 1: Create a square like the one above and provide the necessary information.

Step 2: Cross subtract:

Feed A Nutrient Content - Nutrient Requirement of Animal = Parts of Feed B
Feed B Nutrient Content - Nutrient Requirement of Animal = Parts of Feed A

Add the parts together to get total parts of feed.

Step 3: Determine the percentage of diet each component should be by dividing the part of the feed by the total parts:

(Parts Feed A / Total Parts) X 100% = ______% Feed A
(Parts Feed B / Total Parts) X 100% = ______% Feed B


Simultaneous Equations

  • Used to balance for 1 or 2 nutrients with 2 feedstuffs

X = % Feed A in mix
Y = % Feed B in mix

Equation 1: X + Y = 100 (as in 100% of or diet or 100 lb of feed)
Equation 2: (% nutrient in A)x + (% nutrient in B)y = % nutrient required by animal
Solve the equations for one unknown (x). Then subtract Equation 1 from Equation 2.
Solve for x.
Use x to solve for y.


Computerized Programs

  • Specific in that they are designed for feeding one species
  • Self-contained and simple to use
  • User must be able to determine if results are reasonable


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