document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177505>Question 1177505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Diana bought 4 pounds of coffee, 5 pounds of sugar, and 10 pounds of flour and received $2.25 change from $30. Nine pounds of flour is $0.50 more than 5 pounds of sugar. Ten pounds of flour and 4 pounds of sugar cost $2 more than 3 pounds of coffee. Find the price for each pound of coffee, sugar, and flour.\r<BR>\n" );
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document.write( "I tried the following equations.<BR>\n" );
document.write( "4c+5s+10f=27.75<BR>\n" );
document.write( "9f=0.50+5s<BR>\n" );
document.write( "10f+4s=2+3c<BR>\n" );
document.write( "solutions: <BR>\n" );
document.write( "c=3.31<BR>\n" );
document.write( "s=2.576<BR>\n" );
document.write( "f=0.163 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806523 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806523\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "let  the price of coffee be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, sugar <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and  flour <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if Diana bought <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4+ ALIGN=MIDDLE  ALT=\"4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >pounds of coffee, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+ ALIGN=MIDDLE  ALT=\"5+\"   DISABLED_style= \"max-width:90%; height:auto;\" >pounds of sugar, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of flour and received $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.25 ALIGN=MIDDLE  ALT=\"2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > change from $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c%2B5s%2B10f+%2B2.25=30 ALIGN=MIDDLE  ALT=\"4c%2B5s%2B10f+%2B2.25=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >............1)\r<BR>\n" );
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document.write( "find the price for each pound of coffee, sugar, and flour:\r<BR>\n" );
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document.write( "given: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of flour is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.50 ALIGN=MIDDLE  ALT=\"0.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of sugar \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9f=5s%2B.50 ALIGN=MIDDLE  ALT=\"9f=5s%2B.50\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=%285s%2B.50%29%2F9 ALIGN=MIDDLE  ALT=\"f=%285s%2B.50%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of flour and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of sugar cost $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+ ALIGN=MIDDLE  ALT=\"2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of coffee\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10f%2B4s=3c%2B2 ALIGN=MIDDLE  ALT=\"10f%2B4s=3c%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=%283c-4s%2B2%29%2F10 ALIGN=MIDDLE  ALT=\"f=%283c-4s%2B2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........b)\r<BR>\n" );
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document.write( "from a) and b) we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285s%2B.50%29%2F9=%283c-4s%2B2%29%2F10 ALIGN=MIDDLE  ALT=\"%285s%2B.50%29%2F9=%283c-4s%2B2%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%285s%2B.50%29=9%283c-4s%2B2%29 ALIGN=MIDDLE  ALT=\"10%285s%2B.50%29=9%283c-4s%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50s%2B5=27c-36s%2B18 ALIGN=MIDDLE  ALT=\"50s%2B5=27c-36s%2B18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=50s%2B36s=27c%2B18-5 ALIGN=MIDDLE  ALT=\"50s%2B36s=27c%2B18-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=86s=27c%2B13 ALIGN=MIDDLE  ALT=\"86s=27c%2B13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%2827c%2B13%29%2F86 ALIGN=MIDDLE  ALT=\"s=%2827c%2B13%29%2F86\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........c)\r<BR>\n" );
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document.write( "go to a), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=%285%2827c%2B13%29%2F86%2B.50%29%2F9 ALIGN=MIDDLE  ALT=\"f=%285%2827c%2B13%29%2F86%2B.50%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........a)\r<BR>\n" );
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document.write( "go to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c%2B5s%2B10f+%2B2.25=30 ALIGN=MIDDLE  ALT=\"4c%2B5s%2B10f+%2B2.25=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >............1), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f ALIGN=MIDDLE  ALT=\"f\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c%2B5%2827c%2B13%29%2F86%2B10%285%2827c%2B13%29%2F86%2B.50%29%2F9%2B2.25=30 ALIGN=MIDDLE  ALT=\"4c%2B5%2827c%2B13%29%2F86%2B10%285%2827c%2B13%29%2F86%2B.50%29%2F9%2B2.25=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28629c%29%2F86+-+25.5988+=+0 ALIGN=MIDDLE  ALT=\"%28629c%29%2F86+-+25.5988+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=++%2825.59888%2A86%29%2F629 ALIGN=MIDDLE  ALT=\"c=++%2825.59888%2A86%29%2F629\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=++3.5 ALIGN=MIDDLE  ALT=\"c=++3.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "go to  equation  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%2827%2Ac%2B13%29%2F86 ALIGN=MIDDLE  ALT=\"s=%2827%2Ac%2B13%29%2F86\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........c), substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c ALIGN=MIDDLE  ALT=\"c\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=%2827%2A3.3%2B13%29%2F86 ALIGN=MIDDLE  ALT=\"s=%2827%2A3.3%2B13%29%2F86\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=1.25 ALIGN=MIDDLE  ALT=\"s=1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "do same here\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=%285%2827%2A3.5%2B13%29%2F86%2B.50%29%2F9 ALIGN=MIDDLE  ALT=\"f=%285%2827%2A3.5%2B13%29%2F86%2B.50%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........a)\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f=0.75 ALIGN=MIDDLE  ALT=\"f=0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the price for each pound of coffee is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.50 ALIGN=MIDDLE  ALT=\"3.50\"   DISABLED_style= \"max-width:90%; height:auto;\" >, sugar is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.25 ALIGN=MIDDLE  ALT=\"1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and flour is $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.75 ALIGN=MIDDLE  ALT=\"0.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A3.50%2B5%2A1.25%2B10%2A0.75%2B2.25=30 ALIGN=MIDDLE  ALT=\"4%2A3.50%2B5%2A1.25%2B10%2A0.75%2B2.25=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%2B6.25%2B7.5%2B2.25=30 ALIGN=MIDDLE  ALT=\"14%2B6.25%2B7.5%2B2.25=30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30=30 ALIGN=MIDDLE  ALT=\"30=30\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );