document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=121088>Question 121088</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am horrible at word problems and could really use some help. My problem reads: 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. Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #88831 by </B><A HREF=/tutors/aboutme.mpl?userid=nabla><B>nabla(475)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nabla><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=88831\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let chocolate bars=x, and gum=y. You can now form the following system of equations and solve via a few methods, here I will show you how to use row operations (you could more easily just use substitution, but I will leave that up to you):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=1.75 ALIGN=MIDDLE  ALT=\"3x%2By=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=2x%2B4y=2 ALIGN=MIDDLE  ALT=\"2x%2B4y=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplify the second equation by dividing both sides by 2:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2By=1.75 ALIGN=MIDDLE  ALT=\"3x%2By=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=x%2B2y=1 ALIGN=MIDDLE  ALT=\"x%2B2y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Take 1/3 the first equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%281%2F3%29y=1.75%2F3 ALIGN=MIDDLE  ALT=\"x%2B%281%2F3%29y=1.75%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2y=1 ALIGN=MIDDLE  ALT=\"x%2B2y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Subtract the first equation from the second equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%281%2F3%29y=1.75%2F3 ALIGN=MIDDLE  ALT=\"x%2B%281%2F3%29y=1.75%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F3%29y=1.25%2F3 ALIGN=MIDDLE  ALT=\"%285%2F3%29y=1.25%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can now simplify for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B%281%2F3%29y=1.75%2F3 ALIGN=MIDDLE  ALT=\"x%2B%281%2F3%29y=1.75%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1.25%2F5=.25=1%2F4 ALIGN=MIDDLE  ALT=\"y=1.25%2F5=.25=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, subtract (1/3) of equation two from the first equation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.75%2F3-1%2F12=7%2F12-1%2F12=1%2F2 ALIGN=MIDDLE  ALT=\"x=1.75%2F3-1%2F12=7%2F12-1%2F12=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F4 ALIGN=MIDDLE  ALT=\"y=1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Giving us the solution set S={1/2,1/4}.\r<BR>\n" );
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document.write( "To check,<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A1%2F2%2B1%2F4=7%2F4=1.75 ALIGN=MIDDLE  ALT=\"3%2A1%2F2%2B1%2F4=7%2F4=1.75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1%2F2%2B4%2A1%2F4=1%2B1=2 ALIGN=MIDDLE  ALT=\"2%2A1%2F2%2B4%2A1%2F4=1%2B1=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note that the chocolate bars cost $0.50, and the packs of gum cost $0.25.<BR>\n" );
document.write( "If you have further difficulty, E-mail me by going to my \"me\" page. </SPAN>\n" );
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