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Preparing for the Pharmacy Technician Certification Board (PTCB) exam requires a solid understanding of various mathematical concepts, including alligation medial. This method is essential for solving mixture problems efficiently, which are common in pharmacy calculations. In this article, we provide practice questions on alligation medial to help you boost your exam readiness.
Understanding Alligation Medial
Alligation medial is a technique used to find the ratio in which two or more ingredients at different concentrations should be mixed to achieve a desired concentration. It simplifies complex mixture calculations by visualizing the problem as a number line or grid.
Practice Questions
Question 1
Two solutions are mixed to prepare a solution of 20% alcohol. One solution contains 10% alcohol, and the other contains 30% alcohol. How much of each solution should be used if the total volume is 100 mL?
Question 2
A pharmacist needs to prepare 200 mL of a 15% saline solution by mixing a 10% solution with a 20% solution. How much of each solution should be used?
Question 3
Find the ratio in which two solutions, one of 5% and the other of 15%, should be mixed to obtain 10% solution. If the total volume of the mixture is 150 mL, how much of each solution is required?
Answers and Explanations
Answer to Question 1
Using alligation medial, the difference between the concentrations is calculated as follows: (30% – 20%) = 10 and (20% – 10%) = 10. The ratio of solutions is 10:10, or 1:1. Therefore, 50 mL of each solution is used.
Answer to Question 2
Differences: (20% – 15%) = 5 and (15% – 10%) = 5. The ratio of 10% to 20% solutions is 5:5, or 1:1. To make 200 mL, use 100 mL of each solution.
Answer to Question 3
Differences: (15% – 10%) = 5 and (10% – 5%) = 5. The ratio of 5% to 15% solutions is 5:5, or 1:1. For a total of 150 mL, use 75 mL of each solution.
Tips for Mastering Alligation Medial
Practice regularly with different concentration combinations. Visualize the problem using number lines or grids to improve understanding. Remember the key difference calculations to quickly determine ratios. This method saves time and increases accuracy during exams.
Conclusion
Alligation medial is a vital skill for pharmacy technicians preparing for the PTCB exam. By practicing these questions and understanding the underlying principles, you can enhance your problem-solving skills and boost your confidence for the test. Keep practicing, and success will follow!