document.write( "Question 1109936: A store began selling its line of fall sweaters. On the first day, 6 cotton, 4 orlon, and 5 wool sweaters were sold. On the second day, 3 cotton, 5 orlon, and 8 wool sweaters were sold. On the third day, 4 cotton, 1 orlon and 4 wool sweaters were sold. Total sales for the three days were $395, $505, and $260, respectively. What was the sale price for each sweater?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Thank you! \n" ); document.write( "
Algebra.Com's Answer #725048 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
6C+4OR+5W=395
\n" ); document.write( "3C+5OR+8W=505
\n" ); document.write( "4C+1OR+4W=260
\n" ); document.write( "1OR=260-4W-4C
\n" ); document.write( "substitute
\n" ); document.write( "6C+1040-16W-16C+5W=395 or -10C-11W=-645 or 10C+11W=645
\n" ); document.write( "3C+1300-20W-20C+8W=505 or -17C-12W=-795 or 17C+12W=795
\n" ); document.write( "-120C-132W=-7740 multiplying by -12
\n" ); document.write( "187C+132W=8745
\n" ); document.write( "67C=1005
\n" ); document.write( "C=15
\n" ); document.write( "second and third
\n" ); document.write( "45+5OR+8W=505; 5OR+8W=460
\n" ); document.write( "60+1OR+4W=260; 1OR+4W=200, or -2OR-8W=-400
\n" ); document.write( "3OR=60
\n" ); document.write( "OR=20
\n" ); document.write( "4W=180
\n" ); document.write( "W=45
\n" ); document.write( "C=$15
\n" ); document.write( "OR=$20
\n" ); document.write( "W=$45\r
\n" ); document.write( "\n" ); document.write( "Matrices can be used as well and probably preferred, although a substitution puts this into 2 equations into 2 unknowns, which can then be solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );