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The problem you've provided describes a linear proportion between two medications, A and B. 

You previously mixed 80 milligrams of Medication A with 24 milligrams of Medication B. Now, the doctor wants to mix only 9 milligrams of Medication B. We're tasked with determining how many milligrams of Medication A should be used.

### Setting up the proportion:
We know that the proportion between Medication A and Medication B must remain the same, so:

\[
\frac{80 \text{ mg of Medication A}}{24 \text{ mg of Medication B}} = \frac{x \text{ mg of Medication A}}{9 \text{ mg of Medication B}}
\]

### Solving for \(x\):
Now, cross-multiply to solve for \(x\):

\[
80 \times 9 = 24 \times x
\]

\[
720 = 24x
\]

\[
x = \frac{720}{24} = 30
\]

### Conclusion:
This week, **30 milligrams of Medication A** should be mixed with 9 milligrams of Medication B.

Would you like further clarification or details? 

Here are 5 follow-up questions to consider:
1. How can proportions be used in other medical dosing problems?
2. What other real-world situations use similar proportional relationships?
3. If the amount of Medication B were changed again, how could you adjust the calculation?
4. How would you check to ensure that the ratio remains correct in such cases?
5. What happens if the medications cannot be perfectly scaled by the same proportion?

**Tip**: Always double-check the units when calculating proportions to avoid dosing errors.

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 patient's doctor indicated that you should mix 80 milligrams of Medication A with 24 milligrams of Medication B. However this week, the doctor said to only use 9 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

This real-world nursing problem explains how to maintain the proper proportion of Medication A and Medication B using linear equations. Given the change from 24 mg to 9 mg of Medication B, solve for the correct amount of Medication A. This problem covers key concepts such as cross-multiplication and proportions, suitable for students in Grades 7-9.

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