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as a nurse, part of your daily duties is to mix medications in the prop…

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 100 milligrams of medication a with 90 milligrams of medication b. however this week, the doctor said to only use 72 milligrams of medication b. how many milligrams of medication a should be mixed this week? show work or explain your process to receive full credit.

Explanation:

Step1: Set up proportion

Let $x$ be the amount of Medication A. The proportion is $\frac{100}{90}=\frac{x}{72}$.

Step2: Cross - multiply

$90x = 100\times72$.

Step3: Solve for $x$

$x=\frac{100\times72}{90}=\frac{7200}{90}=80$.

Answer:

80