document.write( "Question 40935: A company makes 3 types of cable. Cable A requires 3 black,3 white, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red wire. Cable C requires 2 black,1 white, and 2 red. They used 100 black, 110 white, and 80 red. how many were made of each? \n" ); document.write( "
Algebra.Com's Answer #26367 by venugopalramana(3286)\"\" \"About 
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A company makes 3 types of cable. Cable A requires 3 black,3 white, and 2 red wires. Cable B requires 1 black, 2 white, and 1 red wire. Cable C requires 2 black,1 white, and 2 red. They used 100 black, 110 white, and 80 red. how many were made of each?
\n" ); document.write( "CABLE......QTY.....BLACK...........WHITE.................RED.......
\n" ); document.write( "A...........X........3X.............3X....................2X.......
\n" ); document.write( "B...........Y........Y..............2Y.....................Y
\n" ); document.write( "C...........Z........2Z..............Z.....................2Z
\n" ); document.write( "----------------------------------------------------------------------
\n" ); document.write( "TOTAL....X+Y+Z....3X+Y+2Z=100....3X+2Y+Z=110...........2X+Y+2Z=80
\n" ); document.write( ".......................EQN.I.......EQN.II................EQN.III
\n" ); document.write( "EQN.I-EQN.II............-Y+Z=-10............IV
\n" ); document.write( "EQN.I*2-EQN.III*3........6X+2Y+4Z-6X-3Y-6Z=200-240=-40
\n" ); document.write( "-Y-2Z=-40......Y+2Z=40......................V
\n" ); document.write( "EQN.IV+EQN.V.....3Z=30....Z=10
\n" ); document.write( "Y=40-2*10=20
\n" ); document.write( "SUBSTITUTING IN EQN.III....2X+20+2*10=80
\n" ); document.write( "2X=80-40=40
\n" ); document.write( "X=20
\n" ); document.write( "
\n" );