SOLUTION: A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How much of each should the pharmacist use to make a 1-ounce tube?

Question 259556: A doctor prescribes an ointment that is 2% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How much of each should the pharmacist use to make a 1-ounce tube?
Found 2 solutions by Fombitz, richwmiller:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let A be the amount of 1% and B be the amount of 5%.
Volume equation :
Concentration equation:
From the first equation,

Substitute in the second equation,

Then

3/4 oz of 1% and 1/4 oz of 2%.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
.01x+.05(1-x)=1*.02
.75 at 1%
.25 at 5%

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