document.write( "Question 1073599: A contractor buys 15 yd^2 of nylon carpet and 26 yd^2 of wool carpet for $1085. A second purchase, at the same prices, includes 10 yd^2 of nylon carpet and 20 yd^2 of wool carpet for $790. Find the cost per square yard of the wool carpet \n" ); document.write( "
Algebra.Com's Answer #688419 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! A contractor buys 15 yd^2 of nylon carpet and 26 yd^2 of wool carpet for $1085. A second purchase, at the same prices, includes 10 yd^2 of nylon carpet and 20 yd^2 of wool carpet for $790. Find the cost per square yard of the wool carpet. \n" ); document.write( "---------------- \n" ); document.write( "15n + 22w = 1085 \n" ); document.write( "10n + 20w = 790 \n" ); document.write( "-------- \n" ); document.write( "Modify:: \n" ); document.write( "10*15n + 10*22w = 10*1085 \n" ); document.write( "15*10n + 15*20w = 15*790 \n" ); document.write( "----------------------------------- \n" ); document.write( "Subtract and solve for \"w\":: \n" ); document.write( "300w - 220w = 15*790-10*1085 \n" ); document.write( "80w = 1000 \n" ); document.write( "w = $12.50 (cost per yd^2 of wool carpet) \n" ); document.write( "------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |