Pearson Square Practice

Pearson Square Method Practice

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?

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?