Question 1126635
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<pre>
Let x be "How much pure apple juice should she use", in liters.


Then the volume of the 40% juice to mix is (2-x) liters.


Then your concentration equation is


    {{{(0.4*(2-x) + x)/2}}} = 0.8,


saying that the ratio of the pure apple juice to the total volume of 2 liters is 0.8 = 80%.


Solve it step by step:


    0.4*(2-x) + x = 0.8*2

    0.8 - 0.4x + x = 1.6

    0.6x = 1.6 - 0.8

    0.6x = 0.8  ====>  x = {{{0.8/0.6}}} = {{{8/6}}} = {{{4/3}}} = {{{1}}}{{{1/3}}} liters   <U>ANSWER</U>


<U>Check</U>.   {{{(0.4*(2-4/3) + 4/3)/2}}} = 0.8.    ! Exactly correct !
</pre>

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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.