document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=257803>Question 257803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company makes 3 types of cable. Cable A requires 3 black wires, 3 white wires, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red. Cable C requires 2 black, 1 white, and 2 red. If 95 black wires, 100 white wires, and 80 red wires were used, then how many of each cable were made?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #189673 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=189673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here we have a 3x3 system.<BR>\n" );
document.write( "Let the cables be A, B, and C.<BR>\n" );
document.write( "(i) 3A + 1B + 2C = 95<BR>\n" );
document.write( "(ii) 3A + 2B + 1C = 100<BR>\n" );
document.write( "(iii) 2A + 1B + 2C = 80<BR>\n" );
document.write( "--<BR>\n" );
document.write( "Lets eliminate the B's. Take (ii) - 2*(i) to get<BR>\n" );
document.write( "(iv) -3A -3C = -90<BR>\n" );
document.write( "lets eliminate the B's. take (ii) - 2*(iii) to get<BR>\n" );
document.write( "(v) -1A -3C = -60<BR>\n" );
document.write( "--<BR>\n" );
document.write( "To eliminate C's, take (v) - (iv) to get<BR>\n" );
document.write( "(vi) 2A = 30 so<BR>\n" );
document.write( "A = 15 cables<BR>\n" );
document.write( "C = 15 cables<BR>\n" );
document.write( "B = 20 cables </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );