Question 1196214
.
In the lab, Jim has two solutions that contain alcohol and is mixing them with each other. 
Solution A is 40% alcohol and Solution B is 12% alcohol. 
He uses 500 milliliters of Solution A. How many milliliters of Solution B does he use, 
if the resulting mixture is a 32% alcohol solution?
~~~~~~~~~~~~~~~~~~~


<pre>
Let x be the volmme of solution B, in mL.

The balance equation for the pure alcohol in the final mixture is

    0.4*500 + 0.12*x = 0.32*(500+x)  milliliters.


It is your basic equation. Simplify it and find x

    200 + 0.12x = 160 + 0.32x

    200 - 160 = 0.32x - 0.12x

       40     = 0.2x

        x     = 40/0.2 = 200.


<U>ANSWER</U>.  200 mL of solution B.
</pre>

Solved.


-----------------


In 95% of cases, typical school mixture problems can be solved by reducing 

to similar simple equation for the balance of the solute mass/volume,

which should be solved thereafter.


So, in 95% cases it is the same routine.


-----------------


It is a standard and typical mixture problem.


For introductory lessons covering various types of mixture word problems see

&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>

in this site.


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.