Question 1135490
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<pre>
There are several ways to solve it.


One way is to solve the system of 2 equations

       x +     y = 3.2     for the total volume of two solutions (in liters)   (1)

  0.047x + 0.19y = 0.086*3.2   for the mass of salt (in kilograms)             (2)


You may use the Elimination method. For it, multiply eq(1) by 0.047 (both sides). Keep eq(2) as is. You will get


   0.047x + 0.047y = 0.047*3.2    (3)

   0.047x + 0.19y  = 0.086*3.2    (4)    ( same as (2) )


Now subtract eq(3) from eq(4). You will get


            (0.19y - 0.047y) = 0.086*3.2 - 0.047*3.2


which gives you  y =  {{{(0.086*3.2 - 0.047*3.2)/(0.19 - 0.047)}}}.


Now I copy this formula in MS Excel in my computer and get the answer in one click:  y = 0.873.


Then from eq(1),  x = 3.2 - 0.873 = 2.327.


<U>Answer</U>.  2.327 liters of the 4.7% solution and  0.873 liters of the 19% solution.
</pre>

Solved.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Notice that in the course of my solution I didn't make intermediate calculations.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;It is simply in order for do not spend my efforts for nothing.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Instead, I collected everything into the final formula.


&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Then my MS Excel gave me the answer in one click.


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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.