document.write( "Question 1110474: how many liter of a 20% alcohol solution should be added to a 450 L solution which contain 35% alcohol so that the resulting mixture will be 30% alcohol. \n" ); document.write( "

Algebra.Com's Answer #725455 by ikleyn(52794) $\"\"$ $\"About$

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

\r\n" );
document.write( "The equation for the unknown volume \"x\" is this\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(0.35*450 + 0.2*x) = 0.3*(450+x)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It says: pure alcohol amount in the mixture is the sum of the alcohol amounts in the components.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.35*450 + 0.2*x = 0.3*450 + 0.3*x\r\n" );
document.write( "\r\n" );
document.write( "0.35*450 - 0.3*450 = 0.3x - 0.2x\r\n" );
document.write( "\r\n" );
document.write( "0.05*450 = 0.1x  ====>  x =  = 225.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  225 liters of the 20% alcohol solution should be added.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "-----------------
\n" ); document.write( "There is entire bunch of introductory lessons covering various types of mixture problems\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( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problems \r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problem for three alloys \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" ); document.write( "Be aware:   The basic equation by @josgarithmetic is   W R O N G.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );