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Pearson Square Method Practice

A worksheet for Grade 6 students to practice the Pearson Square Method for calculating feed ingredient proportions.

Grade 6 Math AlgebraPearson Square Method
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Includes

3 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.6.RP.A.3.B

Topics

Pearson SquareRatiosProportionsFeed FormulationGrade 6 Math
7 sections · Free to use · Printable
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Pearson Square Method Practice

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Read each problem carefully and use the Pearson Square Method to solve for the proportions of ingredients needed. Show your work clearly.

1. You need to create an animal feed with 18% protein. You have two ingredients: Corn (10% protein) and Soybean Meal (45% protein). How many parts of Corn and Soybean Meal are needed to achieve the 18% protein feed?

2. A farmer wants to mix two feeds to get a final mixture with 20% crude fat. Feed A has 5% crude fat, and Feed B has 30% crude fat. Using the Pearson Square, the farmer needs   parts of Feed A and   parts of Feed B.

3. Explain in your own words why the Pearson Square Method works by balancing the differences between the desired nutrient level and the ingredient nutrient levels.

4. If you have a desired protein level of 25%, and your ingredients are Fish Meal (60% protein) and Wheat (15% protein), which ingredient will contribute the larger proportion to the final mix?

a

Fish Meal

b

Wheat

c

Equal parts of both

d

Cannot be determined

5. A nutritionist needs to create a supplement with 15% vitamin C. Ingredient X has 25% vitamin C, and Ingredient Y has 5% vitamin C. If they need a total of 100 kg of the supplement, how much of Ingredient X and Ingredient Y should they use?