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 110 milligrams of medication a with 143 milligrams of medication b. however this week, the doctor said to only use 78 milligrams of medication b. how many milligrams of medication a should be mixed this week? answer: milligrams

Explanation:

Step1: Set up proportion

Let \(x\) be the amount of Medication A. The proportion is \(\frac{110}{143}=\frac{x}{78}\).

Step2: Cross - multiply

\(143x = 110\times78\).

Step3: Solve for \(x\)

\(x=\frac{110\times78}{143}\).
First, calculate \(110\times78 = 8580\).
Then, \(x=\frac{8580}{143}=60\).

Answer:

60