Question 1134842
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<pre>
Let x be the pure acid volume (in liters), and

let y be the volume of the 10% acid solution to be mixed.


Then you have these two equations:


    for the total liquid volume

        x + y = 90             (1)


    for the pure acid volume

        x + 0.1y = 0.32*90     (2)


Subtract equation (2) from equation (1). You will get


            0.9y = 90 - 0.32*90.

Next divide both sides by 0.9. You will get


               y = {{{(90-0.32*90)/0.9}}} = 68.


Thus you need 68 liters of the 10% acid solution.


To find x, use equation (1)


    x + 68 = 90


and get from it


    x = 90 - 68 = 22.


The problem is just solved.  You need  22 liters of the pure acid and  68 liters of the 10% acid solution.    <U>ANSWER</U>
</pre>

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It is a standard and typical mixture problem.


In this site, there is a huge collection of lessons covering various types of mixture word problems. 
Start from these introductory lessons


&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Mixture-problems.lesson>Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/More-Mixture-problems.lesson>More Mixture problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-mixture-problems.lesson>Solving typical word problems on mixtures for solutions</A> 

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Typical-word-problems-on-mixtures-from-the-archive.lesson>Typical word problems on mixtures from the archive</A>


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


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


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


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



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.