document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=892804>Question 892804</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A certain concrete mixture contains 5% cement and 8% sand. How many pounds of this mixture and how many pounds of sand should be combined with 255 pounds of cement to make a batch that is 12% cement and 15% sand?  Set-up is my issue </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #540842 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=540842\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+ ALIGN=MIDDLE  ALT=\"+a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of the 5% cement <BR>\n" );
document.write( "and 8% sand mixture needed<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+ ALIGN=MIDDLE  ALT=\"+.05a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of cement in this mixture<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.08a+ ALIGN=MIDDLE  ALT=\"+.08a+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of sand in this mixture<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+ ALIGN=MIDDLE  ALT=\"+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = pounds of additional sand to be added<BR>\n" );
document.write( "Also <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+255+ ALIGN=MIDDLE  ALT=\"+255+\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds of cement are added<BR>\n" );
document.write( "---------------------------------------<BR>\n" );
document.write( "(1) Total pounds of mixture =<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+c+%2B+255+ ALIGN=MIDDLE  ALT=\"+a+%2B+c+%2B+255+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "The pounds of cement in final mixture:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+%2B+255+=+.12%2A%28+a+%2B+c+%2B+255+%29+ ALIGN=MIDDLE  ALT=\"+.05a+%2B+255+=+.12%2A%28+a+%2B+c+%2B+255+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "The pounds of sand in final mixture:<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.08a+%2B+c+=+.15%2A%28+a+%2B+c+%2B+255+%29+ ALIGN=MIDDLE  ALT=\"+.08a+%2B+c+=+.15%2A%28+a+%2B+c+%2B+255+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "This is 2 equations and 2 unknowns, so it<BR>\n" );
document.write( "should be solvable. If you don't mind, I'll try  to solve it<BR>\n" );
document.write( "so I can check it<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+%2B+255+=+.12a+%2B+.12c+%2B+30.6+ ALIGN=MIDDLE  ALT=\"+.05a+%2B+255+=+.12a+%2B+.12c+%2B+30.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.12a+-+.05a+%2B+.12c+=+255+-+30.6+ ALIGN=MIDDLE  ALT=\"+.12a+-+.05a+%2B+.12c+=+255+-+30.6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.07a+%2B+.12c+=+224.4+ ALIGN=MIDDLE  ALT=\"+.07a+%2B+.12c+=+224.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7a+%2B+12c+=+22440+ ALIGN=MIDDLE  ALT=\"+7a+%2B+12c+=+22440+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.08a+%2B+c+=+.15a+%2B+.15c++%2B+38.25+ ALIGN=MIDDLE  ALT=\"+.08a+%2B+c+=+.15a+%2B+.15c++%2B+38.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-.07a+%2B+.85c+=+38.25+ ALIGN=MIDDLE  ALT=\"+-.07a+%2B+.85c+=+38.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7a+%2B+85c+=+3825+ ALIGN=MIDDLE  ALT=\"+-7a+%2B+85c+=+3825+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Add (2) and (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7a+%2B+85c+=+3825+ ALIGN=MIDDLE  ALT=\"+-7a+%2B+85c+=+3825+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7a+%2B+12c+=+22440+ ALIGN=MIDDLE  ALT=\"+7a+%2B+12c+=+22440+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+97c+=+26265+ ALIGN=MIDDLE  ALT=\"+97c+=+26265+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+270.77+ ALIGN=MIDDLE  ALT=\"+c+=+270.77+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7a+%2B+12%2A270.77+=+22440+ ALIGN=MIDDLE  ALT=\"+7a+%2B+12%2A270.77+=+22440+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7a+=+22440+-+3249.24+ ALIGN=MIDDLE  ALT=\"+7a+=+22440+-+3249.24+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7a+=+19190.76+ ALIGN=MIDDLE  ALT=\"+7a+=+19190.76+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+2741.54+ ALIGN=MIDDLE  ALT=\"+a+=+2741.54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+=+.05%2A2741.54+ ALIGN=MIDDLE  ALT=\"+.05a+=+.05%2A2741.54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+=+137.077+ ALIGN=MIDDLE  ALT=\"+.05a+=+137.077+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.08a+=+.08%2A2741.54+ ALIGN=MIDDLE  ALT=\"+.08a+=+.08%2A2741.54+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.08a+=+219.32+ ALIGN=MIDDLE  ALT=\"+.08a+=+219.32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "137.08 pounds of cement from the mixture<BR>\n" );
document.write( "219.32 pounds of sand from the mixture<BR>\n" );
document.write( "270.77 pounds of additional sand<BR>\n" );
document.write( "are needed to make 12% cement and 15% sand mixture<BR>\n" );
document.write( "--------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.05a+%2B+255+=+.12%2A%28+a+%2B+c+%2B+255+%29+ ALIGN=MIDDLE  ALT=\"+.05a+%2B+255+=+.12%2A%28+a+%2B+c+%2B+255+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+137.08+%2B+255+=+.12%2A%28+2741.54+%2B+270.77+%2B+255+%29+ ALIGN=MIDDLE  ALT=\"+137.08+%2B+255+=+.12%2A%28+2741.54+%2B+270.77+%2B+255+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+392.08+=+.12%2A3267.31+ ALIGN=MIDDLE  ALT=\"+392.08+=+.12%2A3267.31+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+392.08+=+392.08+ ALIGN=MIDDLE  ALT=\"+392.08+=+392.08+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's hopeful- you can check the other equation<BR>\n" );
document.write( "if you agree with my basic setup that is.<BR>\n" );
document.write( "Hope this helps\r<BR>\n" );
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document.write( " </SPAN>\n" );
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