Pearson Square Method Practice

Pearson Square Method Practice

Read each problem carefully and use the Pearson Square Method to determine the correct proportions. Show all your work.

The Pearson Square Method is a simple way to calculate the proportions of two ingredients needed to achieve a desired nutrient concentration. It's often used in animal nutrition to mix feeds.

Here's how it works:

1. Draw a square and place the desired nutrient percentage in the center.

2. Place the percentage of the nutrient in ingredient A at the top-left corner and ingredient B at the bottom-left corner.

3. Subtract diagonally across the square (larger number minus smaller number). The results represent the 'parts' of each ingredient needed.

4. The sum of these parts gives the total parts. You can then calculate the percentage of each ingredient.

1. You need to create a feed mix with 20% protein. You have corn with 10% protein and soybean meal with 40% protein. Using the Pearson Square Method, calculate the ratio of corn to soybean meal needed.

2. A farmer wants a feed with 16% crude protein. He has barley (12% crude protein) and fish meal (50% crude protein). What percentage of the feed should be barley and what percentage should be fish meal?

3. In the Pearson Square method, the desired nutrient percentage is placed in the   of the square.

4. When subtracting diagonally, you always subtract the   number from the   number.

5. The Pearson Square Method can be used to mix more than two ingredients at a time.

6. The results from the diagonal subtraction represent the 'parts' of each ingredient.

7. You need to create 100 kg of a feed that is 25% protein. You have wheat (14% protein) and a protein supplement (60% protein). How many kilograms of wheat and how many kilograms of protein supplement do you need?