document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=561723>Question 561723</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have some mixture problems i need help with.  Can you please help me?\r<BR>\n" );
document.write( "\n" );
document.write( "I have to use a formula %*amount=product\r<BR>\n" );
document.write( "\n" );
document.write( "Gus has on hand a 5% alcohol solution and a 20% alcohol solution.  He needs 30 liters of a 10% alcohol solution.  How many liters of each solution should he mix together to obtain the 30 liters?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "My table i made is \r<BR>\n" );
document.write( "\n" );
document.write( "           Liters        %        total liters<BR>\n" );
document.write( "5% sol.      x-.05        .05          .05x<BR>\n" );
document.write( "20% sol.    y             .20           .20y<BR>\n" );
document.write( "mixture      x+y=10       .01\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Can you please help me know what I should do  or what I did wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364392 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=364392\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Gus has on hand a 5% alcohol solution and a 20% alcohol solution.<BR>\n" );
document.write( " He needs 30 liters of a 10% alcohol solution.<BR>\n" );
document.write( " How many liters of each solution should he mix together to obtain the 30 liters?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "There is an easier way to do this<BR>\n" );
document.write( "let x = 20% solution<BR>\n" );
document.write( "then since the result is to be 30 liter:<BR>\n" );
document.write( "(30-x) = 5% solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A typical mixture equation<BR>\n" );
document.write( ":<BR>\n" );
document.write( ".20x + .05(30-x) = .10(30)<BR>\n" );
document.write( ".20x + 1.5 - .05x = 3<BR>\n" );
document.write( ".20x - .05x = 3 - 1.5<BR>\n" );
document.write( ".15x = 1.5<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5%2F.15 ALIGN=MIDDLE  ALT=\"1.5%2F.15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 10 liters of 20% solution<BR>\n" );
document.write( "then<BR>\n" );
document.write( "30-10 = 20 liters of 5% solutions<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check this<BR>\n" );
document.write( ".2(10) + .05(20) = .10(30)<BR>\n" );
document.write( "2 + 1 = 3; confirms our solutions solution of 10 and 20 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );