document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174976>Question 174976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me out?<BR>\n" );
document.write( "How much of a 40% antifreeze solution must a mechanical mix with an 80% antifreeze solution if 20 L of a 50% antifreeze solution are need?\r<BR>\n" );
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document.write( "I tried the following and was marked wrong.<BR>\n" );
document.write( "Let c represent the 40% solution<BR>\n" );
document.write( "___ y _____________ 80% ________\r<BR>\n" );
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document.write( "x + y= 20<BR>\n" );
document.write( "40x+80y= 50<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "40x+40y=8<BR>\n" );
document.write( "40x+40y=.5<BR>\n" );
document.write( "-4y=7.5<BR>\n" );
document.write( "y=18.75<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "x+18.75=20<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "x=1.25 y= 18.75 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #130039 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=130039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How much of a 40% antifreeze solution must a mechanic mix with an 80% antifreeze solution if 20 L of a 50% antifreeze solution are needed? <BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "active + active = active<BR>\n" );
document.write( "0.40x + 0.80(20-x) = 0.50*20<BR>\n" );
document.write( "40x + 1600 - 80x = 1000<BR>\n" );
document.write( "-40x = -600<BR>\n" );
document.write( "x = 15 liters (amount of 40% antifreeze needed in the mixture)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "20-x = 5 liters (amount of 80% antifreeze needed in the mixture)<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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