document.write( "Question 1050456: 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, 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" ); document.write( "
Algebra.Com's Answer #666003 by ikleyn(52814)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "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, \n" ); 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" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The condition says:\r\n" ); document.write( "\r\n" ); document.write( "20*N + 28*W = 1300, (1) (\"20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300\")\r\n" ); document.write( "15*N + 20*W = 945. (2) (\"the second purchase . . . )\r\n" ); document.write( "\r\n" ); document.write( "You have the system of two equations in two unknowns\r\n" ); document.write( "N is the price for 1 yd^2 nylon carpet\r\n" ); document.write( "W is the price for 1 yd^2 wool carpet.\r\n" ); document.write( "\r\n" ); document.write( "Solve it by any method you know.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "There are the lessons \r \n" ); document.write( "\n" ); document.write( " - Solution of a linear system of two equations in two unknowns by the Substitution method \r \n" ); document.write( "\n" ); document.write( " - Solution of a linear system of two equations in two unknowns by the Elimination method \r \n" ); document.write( "\n" ); document.write( " - Solution of a linear system of two equations in two unknowns using determinant \r \n" ); document.write( "\n" ); document.write( " - Geometric interpretation of a linear system of two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( " - Solving word problems using linear systems of two equations in two unknowns \r \n" ); document.write( "\n" ); document.write( "in this site that might be interesting to you.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r \n" ); document.write( "\n" ); document.write( " - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |