document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1113485>Question 1113485</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You buy 6 bags of gummy bears and 3 bags of chocolate for a total of $24.75. Your friend decides to buy 2 bags of gummy bears and 5 bags of chocolate for a total of $21.25.  How much do the bags of chocolates cost? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #728514 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=728514\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let g be the cost of a bag of gummy bears and c be the cost of a baag of chocolate <BR>\n" );
document.write( ":<BR>\n" );
document.write( "1) 6g +3c = 24.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2) 2g +5c = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "solve equation 1 for c<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3c = 24.75 -6g<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c = 8.25 -2g<BR>\n" );
document.write( ":<BR>\n" );
document.write( "substitute for c in equation 2 and solve for g<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2g +5(8.25 -2g) = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2g +41.25 -10g = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "-8g = -20.00<BR>\n" );
document.write( ":<BR>\n" );
document.write( "g = 2.50<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c = 8.25 -2(2.50) = 3.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "****************************************************<BR>\n" );
document.write( "a bag of chocolate costs $3.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "check answer<BR>\n" );
document.write( ":<BR>\n" );
document.write( "equation 1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "6(2.50) +3(3.25) = 24.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( "15.00 +9.75 = 24.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( "24.75 = 24.75<BR>\n" );
document.write( ":<BR>\n" );
document.write( "equation 2<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2(2.50) +5(3.25) = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "5.00 +16.25 = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "21.25 = 21.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "answer checks<BR>\n" );
document.write( "********************************************************<BR>\n" );
document.write( ": </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );