Pharmacy Technician Certification Board (PTCB) Math Practice Exam

To find the total grams of drug in a 50 ml solution that has a concentration of 5.5%, you can use the formula for calculating the amount of solute in a solution:

\[

\text{grams of solute (drug)} = \text{volume of solution (ml)} \times \left(\frac{\text{percentage concentration}}{100}\right)

\]

In this scenario, the volume of the solution is 50 ml, and the percentage concentration of the drug is 5.5%.

Now, plug in the values:

\[

\text{grams of drug} = 50 \, \text{ml} \times \left(\frac{5.5}{100}\right)

\]

Calculating this gives:

\[

\text{grams of drug} = 50 \times 0.055 = 2.75 \, \text{grams}

\]

Thus, the total grams of drug in the 50 ml of a 5.5% solution is 2.75 grams. This calculation demonstrates the appropriate application of percentage concentration to determine the amount of a drug in a solution, clearly supporting the conclusion that 2.75 grams is indeed the correct answer