document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203003>Question 203003</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mixture of 12 liters of Chemical A, 16 liters of chemical B and 26 liters of chemical C is required to kill a destructive crop insect. Commercial spray X contains 1, 2, and 2 parts, respectively of these chemicals. Commercial spray Y contains only chemical C. Commercial spray Z contains only chemical A and B in equal amounts. How much of each type of commercial spray is needed to get the desired mixture? (Show all your work including any graphs you used.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153204 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=153204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "We need 54 liters \r<BR>\n" );
document.write( "\n" );
document.write( "Let x=amount of commercial spray X needed<BR>\n" );
document.write( "y=amount of commercial spray Y needed<BR>\n" );
document.write( "z=amount of commercial spray Z needed\r<BR>\n" );
document.write( "\n" );
document.write( "x+y+z=54 -------------eq1<BR>\n" );
document.write( "(1/5)x+(1/2)z=12--------eq2<BR>\n" );
document.write( "(2/5)x+(1/2)z=16--------eq3<BR>\n" );
document.write( "(2/5)x+y=26----------------eq4\r<BR>\n" );
document.write( "\n" );
document.write( "eq3-eq2:<BR>\n" );
document.write( "(1/5)x=4<BR>\n" );
document.write( "x=20 liters------amount of commercial spray X needed<BR>\n" );
document.write( "Substitute into eq4:<BR>\n" );
document.write( "(2/5)*20+y=26<BR>\n" );
document.write( "8+y=26<BR>\n" );
document.write( "y=26-8=18 liters----------------amount of commercial spray Y needed<BR>\n" );
document.write( "From eq1<BR>\n" );
document.write( "20+18+z=54<BR>\n" );
document.write( "z=16 liters ----amount of commercial spray Z needed\r<BR>\n" );
document.write( "\n" );
document.write( "CK<BR>\n" );
document.write( "CHEMICAL A:  (1/5)*20+0+((1/2)*16=4+8=12 liters----CK<BR>\n" );
document.write( "CHEMICAL B:  (2/5)*20+0+(1/2)*16=8+8=16 liters-----CK<BR>\n" );
document.write( "CHEMICAL C:  (2/5)*20+18+0=8+18=26 liters----------CK<BR>\n" );
document.write( "12+16+26=54<BR>\n" );
document.write( "54=54\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps---ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );