<PRE><B>Question 1147563</B>
.


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;The formula  &amp;nbsp;&amp;nbsp;{{{highlight_green(x=25((82-22)/(97-2)))}}}  &amp;nbsp;&amp;nbsp;which @josgarithmetic presents as a final answer, &amp;nbsp;is &amp;nbsp;INCORRECT,


&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;So I came to present the correct solution.



&lt;pre&gt;
x of 97%

25-x of 22%

0.97*x + 0.22*(25-x) = 0.92*25

0.97x + 0.22*25 - 0.22x = 92*25

(0.97-0.22)x = 0.92*25 - 0.22*25

x = {{{(0.92*25 - 0.22*25)/(0.97-0.22)}}} = 23.333.


&lt;U&gt;ANSWER&lt;/U&gt;.  23.333 mL of the drink B and (25-23.333) = 1.666 mL of the drink A.


&lt;U&gt;CHECK&lt;/U&gt;.   {{{(0.97*23.333 + 0.22*1.666)/25}}} = 0.92,   which is CORRECT concentration value.
&lt;/pre&gt;

Solved.


-------------------


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>