Pearson Square Method 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.

1. A farmer wants to mix two types of feed: one containing 18% protein and another containing 10% protein. They need to create a mixture with 14% protein. What is the ratio of the 18% protein feed to the 10% protein feed?

2. A pharmacist needs to prepare a 30% alcohol solution. They have a 70% alcohol solution and a 10% alcohol solution available. What ratio of the 70% solution to the 10% solution should be mixed to achieve the desired 30% solution?

3. If you need 500 kg of the 14% protein feed mixture from Question 1, how much of the 18% protein feed will you need?   kg

4. If you need 250 mL of the 30% alcohol solution from Question 2, how much of the 10% alcohol solution will you need?   mL

5. A veterinarian wants to dilute a 25% antibiotic solution to a 5% solution. They will use sterile water (0% antibiotic). What is the ratio of the 25% antibiotic solution to sterile water?

6. You are mixing two solutions, Solution A (60% concentration) and Solution B (20% concentration), to obtain 100 liters of a 35% concentration mixture. How many liters of Solution A are required?

7. A farmer has 150 kg of feed that is 20% protein. They want to increase the protein content to 28% by adding a high-protein supplement that is 60% protein. How much of the 60% protein supplement should be added to the existing 150 kg of feed?