document.write( "Question 697881: lAST YEAR THE COMPUTER LAB PURCHASED 2 DIFFERENT TYPES OF COMPUTERS, 8 TYPE A PC'S AND 12 TYPE B PC'S. THE COST OF THESE COMPUTERS WAS $21,200. THIS YEAR THE COMPUTER COMPANY SAID IT WOULD SELL COMPUTERS TO THE LAB AT THE SAME COST PER COMPUTER. THIS YEAR THE LAB PURCHASED 12 TYPE A PC'S AND 5 TYPE B PC'S FOR $16,200. HOW MUCH DID EACH TYPE A PC COST? HOW MUCH DID EACH TYPE B PC COST? \n" ); document.write( "
Algebra.Com's Answer #430316 by Stitch(470)![]() ![]() ![]() You can put this solution on YOUR website! Let A = Cost of type A PC \n" ); document.write( "Let B = Cost of type B PC \n" ); document.write( "Equation 1: \n" ); document.write( "Equation 2: \n" ); document.write( "I am going to solve this by using the substitution method. \n" ); document.write( "Note that a common mutiple of 8A and 12A is 24A. \n" ); document.write( "Start by setting both equations to zero \n" ); document.write( "Equation 1: \n" ); document.write( "Equation 2: \n" ); document.write( "Multiply equation 1 by 3 to get 24A \n" ); document.write( "Equation 1: \n" ); document.write( "Multiply equation 2 by 2 to get 24A \n" ); document.write( "Equation 2: \n" ); document.write( "Now set both equations equal to each other \n" ); document.write( " \n" ); document.write( "Subtract 24A from both sides \n" ); document.write( " \n" ); document.write( "Add 63600 to both sides \n" ); document.write( " \n" ); document.write( "Subtract 10B from both sides \n" ); document.write( " \n" ); document.write( "Divide both sides by 26 \n" ); document.write( " \n" ); document.write( "----------------------- \n" ); document.write( "Now plug 1200 into one of the given equations for B \n" ); document.write( "Equation 1: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Subtract 14400 from btoh sides \n" ); document.write( " \n" ); document.write( "Divide both sides by 8 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |