SOLUTION: a pharmacist needs to make a 1% hydrocortisone cream. How many grams if 2.5% hydrocortisone should be added to 15 grams of cream base (0% hydrocortisone) to make the 1% cream?

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Question 1115908: a pharmacist needs to make a 1% hydrocortisone cream. How many grams if 2.5% hydrocortisone should be added to 15 grams of cream base (0% hydrocortisone) to make the 1% cream?
Found 2 solutions by ikleyn, stanbon:
Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let x = "How many grams if 2.5% hydrocortisone should be added to 15 grams of cream base (0% hydrocortisone) to make the 1% cream"


Then your basic equation is

0.025x = 0.01*(15+x).


Solve it and find x.

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It is a standard and typical mixture word problem.

There is entire bunch of introductory lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization,  from very detailed to very short.

Read them and become an expert in solution mixture word problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a pharmacist needs to make a 1% hydrocortisone cream. How many grams of 2.5% hydrocortisone should be added to 15 grams of cream base (0% hydrocortisone) to make the 1% cream?
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Equation::
hydro + hydro = hydro
0.025x + 0*15 = 0.01(x+15)
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0.025x = 0.010x + 0.15
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25x - 10x = 150
15x = 150
x = 10 g (amt. of 2.5% cream needed)
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Cheers,
Stan H.
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