Pearson Square Method Worksheet

Pearson Square Method

Read each problem carefully and use the Pearson Square method to solve for the required ratios or quantities. Show all your work.

The Pearson Square method is a quick and easy way to calculate the proportions of two feed ingredients to create a mixture with a desired nutrient concentration. It is commonly used in animal nutrition.

1. The Pearson Square method is used to calculate the proportions of two ingredients to achieve a desired   concentration.

2. In the Pearson Square, the desired nutrient concentration is placed in the   of the square.

3. The concentrations of the two ingredients are placed on the   corners of the square.

4. The differences (absolute values) are then calculated diagonally and placed on the   corners, representing the parts of each ingredient.

5. A farmer wants to create a feed mix that contains 16% protein. He has corn with 9% protein and soybean meal with 44% protein. What is the ratio of corn to soybean meal needed?

6. You need to mix two types of fertilizer. Fertilizer A contains 10% nitrogen, and Fertilizer B contains 30% nitrogen. You want a final mix of 200 kg with 18% nitrogen. How many kilograms of each fertilizer do you need?

7. If you are mixing two ingredients, one with 5% nutrient and another with 25% nutrient, to get a 15% nutrient mix, what will be the ratio of the 5% ingredient to the 25% ingredient?

8. The Pearson Square method can only be used for calculating protein percentages in feed.