document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909139>Question 909139</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A distributor has two gasohol blends: one that contains 5.00% alcohol and another with 11.0% alcohol. How many litres of each must be mixed to make 588 L of gasohol containing 9.50% alcohol?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551633 by </B><A HREF=/tutors/aboutme.mpl?userid=richwmiller><B>richwmiller(17219)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=richwmiller><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/cgi-bin/show-face.mpl?user=richwmiller><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By addition/elimination<BR>\n" );
document.write( "We know the total amount is 588 liters<BR>\n" );
document.write( "We know the percentage of the total amount is 9.5%<BR>\n" );
document.write( "We know the total amount has 55.86 liters of 100%<BR>\n" );
document.write( "We want to know the amount of solution at 5%<BR>\n" );
document.write( "We want to know the amount of solution at 11%<BR>\n" );
document.write( "1*x+1*y=588,<BR>\n" );
document.write( "0.05*x+0.11*y=0.095*588<BR>\n" );
document.write( "0.05*x+0.11*y=55.86<BR>\n" );
document.write( "multiply by 1/0.05<BR>\n" );
document.write( "z=20<BR>\n" );
document.write( "x+2.2*y=1117.2<BR>\n" );
document.write( "1*x+1*y=588,<BR>\n" );
document.write( "subtract<BR>\n" );
document.write( "1.2y=1117.2-588<BR>\n" );
document.write( "1.2y=529.2<BR>\n" );
document.write( "y=529.2/1.2<BR>\n" );
document.write( "y=441.0<BR>\n" );
document.write( "We now know amount of solution at 11%<BR>\n" );
document.write( "y=441.0 liters at 11%<BR>\n" );
document.write( "x=588-y<BR>\n" );
document.write( "We now know amount of solution at 5%<BR>\n" );
document.write( "x=147.0 liters at 5%<BR>\n" );
document.write( "check<BR>\n" );
document.write( "0.05*147.0+0.11*441.0=0.095*588<BR>\n" );
document.write( "7.35+48.51=55.86<BR>\n" );
document.write( "55.86=55.86<BR>\n" );
document.write( "ok<BR>\n" );
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