document.write( "Question 1050502: A contractor buys 20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300. A second purchase, at the same prices,
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document.write( "includes 15 yd^2 of nylon carpet and 20 yd^2 of wool carpet for $945. Find the cost per square yard of the wool carpet. \n" );
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Algebra.Com's Answer #666083 by LinnW(1048) You can put this solution on YOUR website! Let x be the price per yard for nylon carpet and \n" ); document.write( "y be the price per yard for wool carpet. \n" ); document.write( "20x + 28y = 1300 \n" ); document.write( "15x + 20y = 945 \n" ); document.write( "multiply the top equation by 3, and the bottom equation by -4 \n" ); document.write( "60x + 84y = 3900 \n" ); document.write( "-60x -80y = -3780 \n" ); document.write( "Add the equations \n" ); document.write( "4y = 120 \n" ); document.write( "divide each side by 4 \n" ); document.write( "y = 30 \n" ); document.write( "Substitute 30 for y in 15x + 20y = 945 \n" ); document.write( "15x + 20(30) = 945 \n" ); document.write( "15x + 600 = 945 \n" ); document.write( "add -600 to each side \n" ); document.write( "15x = 345 \n" ); document.write( "x = 23 \n" ); document.write( "So nylon carpet is $23.00 per \n" ); document.write( "wool carpet is $30 per |