document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=289110>Question 289110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> matt needs 45 liters of 20% solution.  He has only 15% solution and 30% solution on hand.  How many liters of each solution should he combine to make the mixture? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #209482 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=209482\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> matt needs 45 liters of 20% solution.  He has only 15% solution and 30% solution on hand.  How many liters of each solution should he combine to make the mixture?\r<BR>\n" );
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document.write( "% in A * amount A + % in B * amount B = % in C * amount C<BR>\n" );
document.write( "call amount A x, and amount B 45-x\r<BR>\n" );
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document.write( "15% * x + 30% * (45 - x) = 20% * 45<BR>\n" );
document.write( "0.15x + 0.3 * 45 - 0.3x = 0.2*45<BR>\n" );
document.write( "0.15x + 13.5 - 0.3x = 9<BR>\n" );
document.write( "-0.15x = -4.5 (divide both sides by -1)<BR>\n" );
document.write( "0.15x = 4.5<BR>\n" );
document.write( "x = 30 liters of A (the 15% solution)<BR>\n" );
document.write( "and 15 liters of B (the 30% solution)<BR>\n" );
document.write( " </SPAN>\n" );
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