How many grams of drug are contained in 500ml of a 20% solution?

Study for the Pharmacy Technician Certification Board Math Exam. Prepare with flashcards and multiple choice questions, each question includes hints and explanations. Excel in your exam!

To determine how many grams of drug are contained in 500 mL of a 20% solution, it’s essential to understand what a percentage solution represents. A 20% solution means that there are 20 grams of solute for every 100 mL of solution.

To find out how many grams are in 500 mL, you can set up a proportion based on the percentage:

  1. We know that 20 grams are in 100 mL.

  2. To find out how many grams are in 500 mL, we can set up the calculation:

(20 grams / 100 mL) = (x grams / 500 mL)

  1. Cross-multiplying gives us:

20 grams * 500 mL = 100 mL * x grams

  1. Solving for x gives:

x = (20 grams * 500 mL) / 100 mL

x = 100 grams

Thus, there are 100 grams of drug in 500 mL of a 20% solution. This understanding of how to manipulate percentages and volume is crucial for pharmacy technicians, as it applies broadly to dosing and preparation of medications.

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