Question 1045917
.
A photographer wants to mix 16 liters of a 7% acetic acid solution with a 12% solution to get a 9% solution. 
How many liters of 12% solution must be added?
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<pre>
Let x be the volume of the 12% solution to be mixed.

Then the total volume of the liquid will be (16+x) liters.

The amount of pure acetic acid in 16 liters of the  7% solution is 0.07*16.
The amount of pure acetic acid in  x liters of the 12% solution is 0.12*x.
The amount of pure acetic acid in (16+x) liters of the mixture will be (0.07*16 + 0.12*x).

The concentration condition for the mixture requires

{{{(0.07*16 + 0.12*x)}}} = 0.09*(16+x).

It is your equation to solve for x. Simplify it step by step

1.12 + 0.12x = 1.44 + 0.09x,

0.12x - 0.09x = 1.44 - 1.12,

0.03x = 0.32,

x = {{{0.32/0.03}}} = {{{10}}}{{{2/3}}}.

<U>Answer</U>.  {{{10}}}{{{2/3}}} liters of the 12% solution must be added.
</pre>

For many other solved problems on liquid mixtures see the 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/Word-problems-on-mixtures-for-antifreeze-solutions.lesson>Word problems on mixtures for antifreeze 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>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/mixtures/OVERVIEW-of-lesson-on-word-problems-for-mixtures.lesson>OVERVIEW of lessons on word problems for mixtures</A>

in this site.


Also, 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>.