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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## Answer to a math 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.

Hermann
4.6
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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