document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=81633>Question 81633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> help please\r<BR>\n" );
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document.write( "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 #58513 by </B><A HREF=/tutors/aboutme.mpl?userid=weepingwillowcats><B>weepingwillowcats(10)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=weepingwillowcats><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=58513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, set up your equation.<BR>\n" );
document.write( "Let \"c\" stand for the chocolate bars and \"g\" stand for the gum.<BR>\n" );
document.write( "Sally bought 3c and 1g and paid $1.75.<BR>\n" );
document.write( "You can express this with the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c+%2B+1g+=+1.75 ALIGN=MIDDLE  ALT=\"3c+%2B+1g+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the same to find what Jake bought.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c+%2B+4g+=+2.00 ALIGN=MIDDLE  ALT=\"2c+%2B+4g+=+2.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you must use substitution to solve the problem.<BR>\n" );
document.write( "You can choose either equation to work with.<BR>\n" );
document.write( "For the sake of this problem, we'll go with the first equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c+%2B+1g+=+1.75 ALIGN=MIDDLE  ALT=\"3c+%2B+1g+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "First, solve for one of your variables.<BR>\n" );
document.write( "Because it will be easier, we'll go with the variable g.<BR>\n" );
document.write( "To do this, you're going to subtract 3c from either side.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1g+=+1.75+-+3c ALIGN=MIDDLE  ALT=\"1g+=+1.75+-+3c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since there were not like-terms, this is as simplified as this equation can get at the moment.<BR>\n" );
document.write( "Now, you will substitute the g in your second equation with this answer.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c+%2B+4+%281.75+-+3c%29+=+2.00 ALIGN=MIDDLE  ALT=\"2c+%2B+4+%281.75+-+3c%29+=+2.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From here, you will use the distributive property.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c+%2B+%284%2A1.75%29+-+%284%2A3c%29+=+2.00 ALIGN=MIDDLE  ALT=\"2c+%2B+%284%2A1.75%29+-+%284%2A3c%29+=+2.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2c+%2B+7+-+12c+=+2.00 ALIGN=MIDDLE  ALT=\"2c+%2B+7+-+12c+=+2.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10c+%2B+7+=+2.00 ALIGN=MIDDLE  ALT=\"-10c+%2B+7+=+2.00\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 7 from both sides. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10c+=+-5 ALIGN=MIDDLE  ALT=\"-10c+=+-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by -10 from each side. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c+=+.5 ALIGN=MIDDLE  ALT=\"c+=+.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you know how much each chocolate bar costs.<BR>\n" );
document.write( "Next, you plug in this answer back into either one of your original equations (for Sally or Jake).<BR>\n" );
document.write( "I'll go with the first one, from Sally. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c+%2B+1g+=+1.75 ALIGN=MIDDLE  ALT=\"3c+%2B+1g+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%28.5%29+%2B+1g+=+1.75 ALIGN=MIDDLE  ALT=\"3%28.5%29+%2B+1g+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5+%2B+1g+=+1.75 ALIGN=MIDDLE  ALT=\"1.5+%2B+1g+=+1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 1.5 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1g+=+.25 ALIGN=MIDDLE  ALT=\"1g+=+.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, each pack of gum costs $0.25<BR>\n" );
document.write( "Chocolate Bars = $0.50<BR>\n" );
document.write( "Pack of Gum = $0.25<BR>\n" );
document.write( "If you want to check your answers, simply plug each number back into your equation.<BR>\n" );
document.write( "Goodluck<BR>\n" );
document.write( "-weepingwillowcats </SPAN>\n" );
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