document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148273>Question 148273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this problem. I am supposed to use a system of equations to solve this question.<BR>\n" );
document.write( "A chemist needs 10 liters of a 60% alcohol solution. She has 30% and 80% alcohol solutions available to mix. How many liters of each need to be mixed to obtain 10 liters of a 60% alcohol solution?<BR>\n" );
document.write( "Thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108676 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=108676\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A chemist needs 10 liters of a 60% alcohol solution. He has 30% and 80% alcohol solutions available to mix. How many liters of each need to be mixed to obtain 10 liters of a 60% alcohol solution.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = amt of 30% solution<BR>\n" );
document.write( "Let y = amt of 80% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Total amt equation:<BR>\n" );
document.write( "x + y = 10<BR>\n" );
document.write( "x = (10-y); we can use this for substitution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Alcohol equation<BR>\n" );
document.write( "30x + 80y = 60(10)<BR>\n" );
document.write( "30x + 80y = 600<BR>\n" );
document.write( "Simplify divide by 10<BR>\n" );
document.write( "3x + 8y = 60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute (10-y) for x in the above equation, find y<BR>\n" );
document.write( "3(10-y) + 8y = 60<BR>\n" );
document.write( "30 - 3y + 8y = 60<BR>\n" );
document.write( "5y = 60 - 30<BR>\n" );
document.write( "y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2F5 ALIGN=MIDDLE  ALT=\"30%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y = 6 liters of 80% solution<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x = 10 - 6<BR>\n" );
document.write( "x = 4 liters of 30% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "check solution by using the actual amt of alcohol<BR>\n" );
document.write( ".3x + .8y = .6(10)<BR>\n" );
document.write( ".3(4) + .8(6) = .6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );