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)\"\" \"About 
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: \"8A+%2B+12B+=+21200\"
\n" ); document.write( "Equation 2: \"12A+%2B+5B+=+16200\"
\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: \"8A+%2B+12B+-+21200+=+0\"
\n" ); document.write( "Equation 2: \"12A+%2B+5B+-+16200+=+0\"
\n" ); document.write( "Multiply equation 1 by 3 to get 24A
\n" ); document.write( "Equation 1: \"24A+%2B+36B+-+63600+=+0\"
\n" ); document.write( "Multiply equation 2 by 2 to get 24A
\n" ); document.write( "Equation 2: \"24A+%2B+10B+-+32400+=+0\"
\n" ); document.write( "Now set both equations equal to each other
\n" ); document.write( "\"24A+%2B+36B+-+63600+=+24A+%2B+10B+-+32400\"
\n" ); document.write( "Subtract 24A from both sides
\n" ); document.write( "\"36B+-+63600+=+10B+-+32400\"
\n" ); document.write( "Add 63600 to both sides
\n" ); document.write( "\"36B+=+10B+%2B+31200\"
\n" ); document.write( "Subtract 10B from both sides
\n" ); document.write( "\"26B+=+31200\"
\n" ); document.write( "Divide both sides by 26
\n" ); document.write( "\"highlight%28B+=+1200%29\"
\n" ); document.write( "-----------------------
\n" ); document.write( "Now plug 1200 into one of the given equations for B
\n" ); document.write( "Equation 1: \"8A+%2B+12B+=+21200\"
\n" ); document.write( "\"8A+%2B+12%2A%281200%29+=+21200\"
\n" ); document.write( "\"8A+%2B+14400+=+21200\"
\n" ); document.write( "Subtract 14400 from btoh sides
\n" ); document.write( "\"8A+=+6800\"
\n" ); document.write( "Divide both sides by 8
\n" ); document.write( "\"highlight_green%28A+=+850%29\"\r
\n" ); document.write( "
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