document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147501>Question 147501</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/032115892X/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A mixture of water and antifreeze in a car is 10% antifreeze. In colder climates this mixture should contain 50% antifreeze. If the radiator contains 4 gallons of fluid, how many gallons of radiator fluid should be drained and replaced with a mixture containing 80% antifreeze? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107878 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=107878\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A mixture of water and antifreeze in a car is 10% antifreeze. <BR>\n" );
document.write( "In colder climates this mixture should contain 50% antifreeze. <BR>\n" );
document.write( "If the radiator contains 4 gallons of fluid, how many gallons of radiator fluid should be drained and replaced with a mixture containing 80% antifreeze?<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "Start: 4 gallons liquid ; 0.1*4 = 0.4 gallons active ingredient<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "After draining x gallons:<BR>\n" );
document.write( "4-x gallons ; 0.1(4-x)= 0.4-0.1x gallons active ingredient<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Adding 80% antifreeze:<BR>\n" );
document.write( "Add x gallons ; 0.8x gallons of active ingredient.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Final Mixture:<BR>\n" );
document.write( "4 gallons; 0.5*4 = 2 gallons active ingredient<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( "active + active = active<BR>\n" );
document.write( "0.4-0.1x+0.8x = 2<BR>\n" );
document.write( "0.7x + 0.4 = 2<BR>\n" );
document.write( "0.7x = 1.6<BR>\n" );
document.write( "x = 2.2857 gallons (number of gallons that should be drained and replaced)<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );