Pearson’s Square or Pearson’s Rectangle, is a simplified method for solving a two-variable simultaneous equation. It is widely used in standardization calculations for sausage manufacture, jam manufacture, blending alcoholic drinks, calculation of the amounts of feed necessary to meet a nutrient requirement of livestock and anywhere where two components that need to be mixed together to give a final known concentration.

1. Pearson Square
• Pearson’s Square or Pearson’s Rectangle, is a simplified method for solving a
two-variable simultaneous equation.
• It is widely used in standardization calculations for sausage manufacture, jam
manufacture, blending alcoholic drinks, calculation of the amounts of feed
necessary to meet a nutrient requirement of livestock and anywhere where two
components that need to be mixed together to give a final known concentration.

2. Problem
Calculate the portions of grains needed to make a 150 kg of 15% Crude Protein mix. The
grain we have available is Soybean at 30% protein and barley at 12% protein.
Solution
Steps:1 Draw Pearson’s Square
Steps:2 Label Concentrations of each solution
on top and bottom corners,
30
12
Steps:3 Write the required or target concentration in the
center of the squire.
15
Steps:4 Subtract the Solution concentration from target
concentration (smaller number from the larger
one) along the diagonal lines.
3
15
Solution % Target % Parts
Steps:5 Divide the parts by the total parts to find the
per cent of each solution in the Taget mixture.
Total parts = 15+ 3

3. Problem
Calculate the portions of grains needed to make a 150 kg of 15% Crude Protein mix. The
grain we have available is Soybean at 30% protein and barley at 12% protein.
Solution
Steps:6
Soybean % final mixture =
30
12
15
3
15
Solution Target Parts
Total parts = 15+ 3
3 ∗ 100
18
= 16.7%
Barley % final mixture =
15 ∗ 100
18
= 83.3%
Steps:7
Soybean total quantity required
For 150 kg target mix =
16.7 ∗150
100
=25 kg

4. Problem
Calculate the portions of grains needed to make a 150 kg of 15% Crude Protein mix. The
grain we have available is Soybean at 30% protein and barley at 12% protein.
Solution
Steps:8
Barley total quantity required
For 150 kg target mix
30
12
15
3
15
Solution Target Parts
Total parts = 15+ 3
Steps:9 – Double check
=125 kg
=
83.3 ∗150
100
• Total Crud Protein in 150kg Mix = (0.15*150)
= 22.5kg
• Total Crud Protein in 25 kg Soybean meal= (0.3*25)
= 7.5kg
• Total Crud Protein in 125 kg barley= (0.12*125)
= 15kg
7.5+15=22.5

5. • Pearson’s square online calculator
https://www.amazon.com/dp/B08Y5PZL9H/ref=sr_1_2?dchild=1&keywords=pearson+square&qid=1615110470&sr=8-2