Question

As a Nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patients doctor indicated that you should mix 150 milligrams of Medication A with 225 milligrams of Medication B. However this week, the doctor said to only use 165 milligrams of Medication B. How many milligrams of Medication A should be mixed this week? Answer_____milligrams

Answer 1

Answer: This problem can be solved using the concept of mathematical proportions, the equation that can be constructed for the problem is as follows:

$\begin{gathered} \frac{A_1}{B_1}=\frac{A_2}{B_2} \\ \\ \\ \frac{A_{1}}{B_{1}}=\frac{150mg}{225mg} \\ \\ \\ \frac{A_{2}}{B_{2}}=\frac{A_2}{165mg} \\ \\ \therefore\Rightarrow \\ \\ \\ \frac{150mg}{225mg}=\frac{A_{2}}{165mg}\Rightarrow(1) \end{gathered}$

Solving equation (1) gives the answer, the solution to the equation (1) is as follows:

$\begin{gathered} \begin{equation*} \frac{150mg}{225mg}=\frac{A_2}{165mg} \end{equation*} \\ \\ \\ A_2=(\frac{150}{225}\times165)mg=110mg \\ \\ A_2=110mg \end{gathered}$

Therefore the answer is 110mg.