An Rx calls for hydrocortisone 1% mixed with mupirocin 2% in a 70%/30% combination for a total of 60 grams. What is the % strength of mupirocin in the final product?
Can anyone out there help explain how to answer this question?
Thanks in advance.
To determine the percentage strength of mupirocin in the final product, we'll need to consider the quantities of hydrocortisone and mupirocin being mixed.
In the combination given, the ratio of hydrocortisone to mupirocin is 70% to 30%. This means that for every 100 parts of the mixture, 70 parts are hydrocortisone and 30 parts are mupirocin.
We also know that the total weight of the mixture is 60 grams. Therefore, 70% of 60 grams is hydrocortisone, and 30% of 60 grams is mupirocin.
To calculate the weight of mupirocin in the final product, you can use the following formula:
Weight of mupirocin = (Percentage strength of mupirocin / 100) * Total weight
In this case, the total weight is 60 grams, and we want to find the weight of mupirocin.
Weight of mupirocin = (30 / 100) * 60
Weight of mupirocin = (30 / 100) * 60
Weight of mupirocin = 0.3 * 60
Weight of mupirocin = 18 grams
Since the weight of mupirocin in the 60-gram mixture is 18 grams, the percentage strength of mupirocin in the final product is:
Percentage strength of mupirocin = (Weight of mupirocin / Total weight) * 100
Percentage strength of mupirocin = (18 / 60) * 100
Percentage strength of mupirocin = 30%
Therefore, the percentage strength of mupirocin in the final product is 30%.