document.write( "Question 34272: I need help on one last problem. Just can't get it set up right.\r
\n" ); document.write( "\n" ); document.write( "A store sells televisions for $360 and VCR's for $270. At the beginning of the week its entire stock is worth $54,000. During the week it sells three quarters of the TV's and one third of the VCR's for a total of $30,600. How many tv's and vcr's did it have in its stock at the beginning of the week?\r
\n" ); document.write( "\n" ); document.write( "Thanks.
\n" ); document.write( "

Algebra.Com's Answer #20553 by mukhopadhyay(490)\"\" \"About 
You can put this solution on YOUR website!
Number of TV's = x
\n" ); document.write( "Number of VCR's = y
\n" ); document.write( "360x + 270y = 54000
\n" ); document.write( "=> 4x + 3y = 600....(1)
\n" ); document.write( "3x/4 + y/3 = 30600
\n" ); document.write( "=> 9x + 4y = 367200...(2)
\n" ); document.write( "We need to solve for x,y using (1) and (2)
\n" ); document.write( "Multiply (1) with 4 and (2) with 3
\n" ); document.write( "16x + 12y = 2400......(3)
\n" ); document.write( "27x + 12y = 1101600..(.4)
\n" ); document.write( "Subtract (3) from (4):
\n" ); document.write( "11x = 1099200
\n" ); document.write( "=> x comes in fraction
\n" ); document.write( "Note: Check your problem
\n" ); document.write( "
\n" );