Pearson Square Method Worksheet
A Grade 12 Math worksheet focusing on the Pearson Square Method for solving mixture problems, including various problem types and applications.
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Pearson Square Method
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Read each problem carefully and use the Pearson Square Method to solve for the unknown quantities. Show all your work.
1. A farmer wants to mix two types of feed, one containing 18% protein and another containing 10% protein, to create 200 kg of a new feed with 15% protein. How much of each type of feed should the farmer use?
2. A chemist needs to prepare 5 liters of a 40% acid solution. She has a 60% acid solution and a 20% acid solution. How many liters of each solution should she mix?
3. The Pearson Square Method is used to determine the proportions of two components needed to achieve a desired .
4. When using the Pearson Square, the desired concentration is placed in the of the square.
5. The Pearson Square Method can only be applied to liquid mixtures.
True
False
6. A feed mill has corn at $0.15/kg and soybean meal at $0.30/kg. They want to create a 500 kg mixture that costs $0.20/kg. How much of each ingredient should be used?