<PRE><B>Question 1117049</B>
.
&lt;pre&gt;
&lt;U&gt;pure acid amount&lt;/U&gt; + &lt;U&gt;pure acid amount&lt;/U&gt; = &lt;U&gt;total pure acid amount&lt;/U&gt;


0.02*10          + 0.16*x           = 0.12*(10+x)     &lt;&lt;&lt;---=== it is your balance equation;  x is the amount (in liters) of the 16% solution.


0.02*10 + 0.16x = 0.12*10 + 0.12*x


0.16*x - 0.12*x = 0.12*10 - 0.02*10


(0.16 - 0.12)*x = 0.12*10 - 0.02*10


x = {{{(0.12*10-0.02*10)/(0.16-0.12)}}} = 25.


&lt;U&gt;Answer&lt;/U&gt;.  25 liters of the 16% solution should be added.


&lt;U&gt;Check&lt;/U&gt;.   {{{(0.02*10 + 0.16*25)/(10 + 25)}}} = 0.12 = 12% of concentration of the final mixture.   ! Correct !
&lt;/pre&gt;

----------------
It is a standard and typical mixture problem.


For introductory lessons covering various types of mixture word problems see

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Mixture-problems.lesson&gt;Mixture problems&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/mixtures/More-Mixture-problems.lesson&gt;More Mixture problems&lt;/A&gt;

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=http://www.algebra.com/algebra/homework/word/mixtures/Solving-typical-mixture-problems.lesson&gt;Solving typical word problems on mixtures for solutions&lt;/A&gt; 

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/word/mixtures/Typical-word-problems-on-mixtures-from-the-archive.lesson&gt;Typical word problems on mixtures from the archive&lt;/A&gt;

in this site.


You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization, &amp;nbsp;from very detailed to very short.


Read them and become an expert in solution mixture word problems.


Also, &amp;nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;- &lt;A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson&gt;ALGEBRA-I - YOUR ONLINE TEXTBOOK&lt;/A&gt;.


The referred lessons are the part of this textbook in the section &quot;&lt;U&gt;Word problems&lt;/U&gt;&quot; under the topic &quot;&lt;U&gt;Mixture problems&lt;/U&gt;&quot;.



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.


</PRE>