Question 1118639
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<pre>
Notice that in this problem all concentrations are in kilograms of the sugar per liter.


Let x be the volume of the  20%  sugar solution to mix (in liters).

Then the volume of the  10%  sugar solution is (15-L).


The balance equation for the sugar mixture is 


0.2x + 0.1*(15-x) = 0.14*15


Simplify and solve for x:

0.2x + 0.1*15 - 0.1x = 0.14*15

0.1x = 0.14*15 - 0.1*15

0.1x = 0.04*15  ====>  x = {{{(0.04*15)/0.1}}} = 0.4*15 = 6.


<U>Answer</U>.  6 liters of the 20% solution should be mixed with  15-6 = 9 liters of the  10% solution.


<U>Check</U>.   0.2*6 + 0.1*9 = 2.1   (kilograms is the total mass of the sugar in two input solutions)

         0.14*15 = 2.1 (kilograms is the mass of the sugar in the final mixtures)

         The two values coincide, which means that the solution and the answer are correc !
</pre>

Solved.


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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.