document.write( "Question 1122001: In the lab, Lashonda has two solutions that contain alcohol and is mixing them with each other. She uses
\n" ); document.write( "300
\n" ); document.write( " milliliters less of Solution A than Solution B. Solution A is
\n" ); document.write( "19%
\n" ); document.write( " alcohol and Solution B is
\n" ); document.write( "12%
\n" ); document.write( " alcohol. How many milliliters of Solution A does she use, if the resulting mixture has
\n" ); document.write( "377
\n" ); document.write( " milliliters of pure alcohol? \n" ); document.write( "

Algebra.Com's Answer #738023 by ikleyn(52777) $\"\"$ $\"About$

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

\r\n" );
document.write( "Let x = \"How many milliliters of Solution A does she use\", in mL.\r\n" );
document.write( "\r\n" );
document.write( "Then the amount of the solution B is (x+300) mL.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then your equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"pure alcohol\" + \"pure alcohol\" = \"total pure alcohol\"\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.19x          +  0.12*(x+300)  = 377.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and solve for x:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.19x + 0.12x + 36 = 377\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "0.31x = 377 - 36 = 341  ====>  x =  = 1100 mL.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  She uses 1100 mL of solution A.\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" );