Question

You receive a prescription calling for 12% nystatin cream to be compounded. You have 15 grams of a 35% cream on hand as well as a 2% cream. Using the alligation method, how many grams of 2% cream should be added to the whole amount of 35% cream to prepare the final product? Round to the nearest tenth decimal place.

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Hermann

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Here's how to solve this compounding problem using the alligation method:
**Understanding the Problem**
* You need to make a 12% nystatin cream.
* You have a 35% nystatin cream and a 2% nystatin cream.
* You'll be using all 15 grams of the stronger 35% cream.
**Alligation Method**
1. **Set up the table:**
| Concentration | Desired Concentration | Difference |
|---|---|---|
| 35% | 12% | 23 |
| 2% | 12% | 10 |
2. **Interpret the differences:**
* To get the desired 12%, you need 10 parts of the 2% cream for every 23 parts of the 35% cream.
3. **Calculate the ratio:**
* Ratio = (Low concentration - Desired concentration) / (Desired concentration - High concentration)
* Ratio = (2 - 12) / (12 - 35) = 10 / 23
4. **Calculate the amount of 2% cream:**
* Total amount = 15 grams of 35% cream
* Amount of 2% cream = (Ratio * Total amount) = (10/23) * 15 grams = 6.5 grams (approximately)
**Answer:**
You need to add approximately 6.5 grams of the 2% nystatin cream to the 15 grams of 35% cream to create the desired 12% concentration.

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