Pearson's 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.

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   = 16.7% Barley % final mixture =    = 83.3% Steps:7  Soybean total quantity required For 150 kg target mix =   =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 =   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