SOLUTION: A pharmacist wishes to mix a solution that is 5​% Minoxidil. She has on hand 90 ml of a 2​% solution and wishes to add some 7​% solution to obtain the desired 5&

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A pharmacist wishes to mix a solution that is 5​% Minoxidil. She has on hand 90 ml of a 2​% solution and wishes to add some 7​% solution to obtain the desired 5&      Log On

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Question 1109318: A pharmacist wishes to mix a solution that is 5​% Minoxidil. She has on hand 90 ml of a 2​% solution and wishes to add some 7​% solution to obtain the desired 5​% solution. How much 7​% solution should she​ add?
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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A pharmacist wishes to highlight%28cross%28mix%29%29 get a solution that is 5% Minoxidil.
She has on hand 90 ml of a 2% solution and wishes to add some 7% solution to obtain the desired 5% solution.
How much 7% solution should she add?
~~~~~~~~~~~~

pure Minoxidil amt + pure Minoxidil amt = pure Minoxidil amt


0.02*90            + 0.07*x             = 0.05*(90+x)


0.02*90 + 0.07x = 0.05*90 + 0.05*x

0.07x - 0.05x = 0.05*90 - 0.02*90

0.02x = 0.05*90 - 0.02*90 = 2.7  ====>  x = 2.7%2F0.02 = 135.


Answer.  135 mL of the 7% solution to mix.


Check.   0.02*135 + 0.07*90 = 11.25 mL of the pure minoxidil.

         0.05*(90+135) = 11.25 of the pure minoxidil.   ! Correct !

Solved.

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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.