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gayaneshka [121]
3 years ago
10

A doctor prescribes an ointment that is 4% hydrocortisone. A pharmacist has 1% and 5% concentrations in stock. How many ounces o

f each should the pharmacist use to make a 5-ounce tube?.
Biology
1 answer:
levacccp [35]3 years ago
4 0

Answer:

1.25 ounes of 1% and 3.75 ounes of 5% will be used to make a 5-ounce tube

Explanation:

let "x" represent the number of ounces of  1% concentration

Then the number of ounces of  5%concentration would be 5-x

Now the total of ounces of  1% and  5% would be equal to 5-ounce of 4% hydrocortisone.

so the equation will be

0.01 (x) + 0.05(5-x) = 0.04*5\\0.01x-0.05x+0.25= 0.2\\\\0.25-0.2= 0.04x\\x = \frac{0.05}{0.04} \\x= 1.25\\5-x= 5-1.25 = 3.75

hence

1.25 ounes of 1% and 3.75 ounes of 5% will be used to make a 5-ounce tube

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