document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255272>Question 255272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For his art class, Bryce bought 2 kg of dark clay and 3 kg of light clay, paying $22 for the clay. He later needed 1 kg of dark clay and 2 kg of light clay,costing $13 altogether. How much more per kg does the the dark clay cost than the light clay, in  dollars\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187539 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=187539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the cost of dark clay  = $ x per kg<BR>\n" );
document.write( "and the cost of light clay = $ y per kg<BR>\n" );
document.write( "Bryce bought 2 kg of dark clay and 3 kg of light clay, paying $22 for the clay<BR>\n" );
document.write( "So we have,    2x+3y = 22  ...(1)<BR>\n" );
document.write( "Then he bought 1 kg of dark clay and 2 kg of light clay,costing $13<BR>\n" );
document.write( "                x+2y = 13  ...(2)<BR>\n" );
document.write( "(2)*2 =>       2x+4y = 26  ...(3)<BR>\n" );
document.write( "(1)-(3)=>      3y-4y = 22-26<BR>\n" );
document.write( "                  -y = -4<BR>\n" );
document.write( "                   y = 4<BR>\n" );
document.write( "Substituting in (1), we get, 2x+3*4 = 22<BR>\n" );
document.write( "                             2x = 22-12<BR>\n" );
document.write( "                             2x = 10<BR>\n" );
document.write( "                              x = 10/2 = 5<BR>\n" );
document.write( "Therefore, the cost of dark clay  = $ 5 per kg<BR>\n" );
document.write( "and the cost of light clay = $ 4 per kg  </SPAN>\n" );
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