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)![]() ![]() You can put this solution on YOUR website! 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( " |