document.write( "Question 1127082: Silvia wants to mix 40% apple juice drink with pure apple juice to make 4L of a juice drink that is 90% apple juice. How much pure apple juice should she use? Express answer as a mixed number or fraction in simplest terms, if necessary. \n" ); document.write( "

Algebra.Com's Answer #743435 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x be the volume of the pure apple juice to be added, in liters.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then the volume of the 40% juice to be mixed is (4-x) liters.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Your equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    0.4*(4-x) + x = 0.9*4\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "saying that the sum of amounts of the pure apple juice in both input ingredients is equal to that in resulting mix.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve the equation\r\n" );
document.write( "\r\n" );
document.write( "    1.6 - 0.4x + x = 3.6\r\n" );
document.write( "\r\n" );
document.write( "    0.6x = 3.6 - 1.6\r\n" );
document.write( "\r\n" );
document.write( "    0.6x = 2\r\n" );
document.write( "\r\n" );
document.write( "    x =  =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.   liters of the pure apple juice should be added.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Check.    = 0.9,  or 90% concentration.   ! Correct !\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For introductory lessons covering various types of mixture word problems see\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution mixture word problems.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );