Pearson Square Practice
A worksheet to practice the Pearson Square method for calculating feed mixes and concentrations.
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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 required ratios or amounts. Show all your work.
The Pearson Square method is a simple way to calculate the proportions of two ingredients needed to achieve a desired concentration in a mixture. It's often used in agriculture and chemistry.
Here's a visual representation of a Pearson Square:
Where A% and B% are the concentrations of your two ingredients, and C% is your desired final concentration.
1. A farmer wants to mix two feeds to get a protein content of 16%. Feed A has 20% protein, and Feed B has 12% protein. What is the ratio of Feed A to Feed B needed?
2. You need to prepare a 35% alcohol solution. You have a 50% alcohol solution and a 20% alcohol solution. Using the Pearson Square, determine the parts of each solution needed. You will need parts of the 50% solution and parts of the 20% solution.
3. A veterinarian needs to create a medication with a 15% active ingredient concentration. They have two solutions: one with 25% active ingredient and another with 5% active ingredient. If they need a total of 100 ml of the 15% solution, how much of the 25% solution will they need?
25 ml
50 ml
75 ml
100 ml
4. A chemist needs to dilute a 90% acid solution to a 40% acid solution using a 10% acid solution. If the chemist wants to make 5 liters of the 40% solution, how many liters of the 90% solution and 10% solution are needed?