Question 1148074
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<pre>

Let x be the volume of the 40% juice, in gallons.


Then the amount of the 10% juice is (3-x) gallons.


Your equation is


    0.4x + 0.1(3-x) = 0.3*3


saying that the amount of the pure juice in ingredients is the same as it is in the micture.


From the equation, express  x  and calculate


    x = {{{(0.3*3 - 0.1*3)/(0.4-0.1)}}} = 2.


<U>ANSWER</U>.  2 gallons of the 40% guice and the rest (3-2) = 1 gallon of the 10% juice.


<CHECK</U>.  {{{(2*0.4 + 1*0.1)/(2+1)}}} = {{{0.9/3}}} = 0.3 = 30% concentration.  ! Correct !
</pre>

Solved.


By the way, the answer is SELF-EVIDENT from the given data.


Anyone house-wife will answer with correct answer without solving equation/equations, 
based exclusively on her common sense.


But from my solution, you know now the formal Algebra way (! !)


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


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.