document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=112042>Question 112042</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sally bought three chocolate bars and a pack of gum and paid $1.75.  Jake bought two chocolate bars and four packs of gum and paid $2.00.  Find the cost of a chocolate bar and the cost of a pack of gum. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #81737 by </B><A HREF=/tutors/aboutme.mpl?userid=BrittanyM><B>BrittanyM(80)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=BrittanyM><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=81737\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We can use a system of equations in order to solve for the variables.<BR>\n" );
document.write( "Sally bought three chocolates and one pack of gum for 1.75<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "3C + 1G = 1.75<BR>\n" );
document.write( "And Jake bought two chocolates and four packs of gum for 2.00<BR>\n" );
document.write( "So:<BR>\n" );
document.write( "2C + 4G = 2.00\r<BR>\n" );
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document.write( "3C + 1G = 1.75<BR>\n" );
document.write( "2C + 4G = 2.00\r<BR>\n" );
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document.write( "From the top equation, we can subtract 3C in order to find the value of 1G in terms of C.\r<BR>\n" );
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document.write( "1G = -3C + 1.75\r<BR>\n" );
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document.write( "Now, we can plug this into the other equation to find the exat value of C.\r<BR>\n" );
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document.write( "2C + 4(-3C + 1.75) = 2.00<BR>\n" );
document.write( "2C - 12C + 7 = 2.00<BR>\n" );
document.write( "-10C = -5<BR>\n" );
document.write( "C = 0.50\r<BR>\n" );
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document.write( "Now we can plug this value into either of the equations from the system so we can solve for G.\r<BR>\n" );
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document.write( "3(0.50) + 1G = 1.75<BR>\n" );
document.write( "1.5 + 1G = 1.75<BR>\n" );
document.write( "1G = 0.25\r<BR>\n" );
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document.write( "So one chocolate costs 0.50,<BR>\n" );
document.write( "And one pack of gun costs 0.25. </SPAN>\n" );
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