SOLUTION: A pharmacist wishes to mix a solution that is 7​% Minoxidil. She has on hand 60 ml of a 3​% solution and wishes to add some 9​% solution to obtain the desired 7&
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Question 1095106: A pharmacist wishes to mix a solution that is 7% Minoxidil. She has on hand 60 ml of a 3% solution and wishes to add some 9% solution to obtain the desired 7% solution. How much 9% solution should she add?
Found 3 solutions by greenestamps, josgarithmetic, ikleyn:
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
I will assume you will get at least one response that show the traditional algebraic method for solving this kind of problem; I will just show you my quick shortcut method....
The 7% that she wants is "twice as close" to the 9% that is being added as it is to the 3% she is starting with. That is, 9-7 = 2; while 7-3=4; 7 is "twice as close to 9 as it is to 3".
Since the percentage of the mixture is twice as close to 9% as it is to 3%, she needs twice as much of the 9% as she has of the 3%. Since she has 60ml of the 3%, she needs 120ml of the 9%.
Answer: 120 ml
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
x, how much of the 9% to add
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Answer by ikleyn(52786) (Show Source): You can put this solution on YOUR website!
.
This type of problems - mixture problems, you will meet at least tens times during your school years, and,
probably, hundreds of times during your life.
Therefore, it makes sense to learn how to solve them once for all.
Happily, there are standard procedures/methods to solve such mixture problems.
And, happily, there are introductory lessons in this site 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
These lessons are written specially for you.
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.
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