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} (A_1)/(B_1)=(A_2)/(B_2) \\ \\ \\ (A_(1))/(B_(1))=(150mg)/(225mg) \\ \\ \\ (A_(2))/(B_(2))=(A_2)/(165mg) \\ \\ \therefore\Rightarrow \\ \\ \\ (150mg)/(225mg)=(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*} (150mg)/(225mg)=(A_2)/(165mg) \end{equation*} \\ \\ \\ A_2=((150)/(225)*165)mg=110mg \\ \\ A_2=110mg \end{gathered}`

Therefore the answer is 110mg.