document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=58286>Question 58286</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0073016020/algebrahomeworkh>Beginning Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me on this problem?\r<BR>\n" );
document.write( "\n" );
document.write( "  I need to solve the following problem and show the equation used for the solution:\r<BR>\n" );
document.write( "\n" );
document.write( "  A coffee merchant has coffee beans that sell for $9 per pound and $12 per pound.  The two types are to be mixed to create 100 lb. of a mixture that will sell for $11.25 per pound.  How much of each type of bean should be used in the mixture?\r<BR>\n" );
document.write( "\n" );
document.write( " Thanks,<BR>\n" );
document.write( " Ashley </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #39950 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=39950\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a = amount of the $9/pound beans in mixture (in pounds)<BR>\n" );
document.write( "Let b = amount of the $12/pound beans in mixture (in pounds)<BR>\n" );
document.write( "a + b = 100 (this is given)<BR>\n" );
document.write( "Set up this equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2Aa+%2B+12%2Ab%29+%2F+100+=+11.25+%2F+1 ALIGN=MIDDLE  ALT=\"%289%2Aa+%2B+12%2Ab%29+%2F+100+=+11.25+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This simply says \"The cost of a pounds of the $9 beans plus <BR>\n" );
document.write( "the cost of b pounds of the $12 beans per 100 pound bag must<BR>\n" );
document.write( "equal $11.25 per 1 pound.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9a+%2B+12b+=+1125 ALIGN=MIDDLE  ALT=\"9a+%2B+12b+=+1125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B+b+=+100 ALIGN=MIDDLE  ALT=\"+a+%2B+b+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" > (given)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12a+%2B+12b+=+1200 ALIGN=MIDDLE  ALT=\"12a+%2B+12b+=+1200\"   DISABLED_style= \"max-width:90%; height:auto;\" > (multiply each side by 12)<BR>\n" );
document.write( "Now subtract the 1st equation from the second<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3a+=+75 ALIGN=MIDDLE  ALT=\"3a+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+25 ALIGN=MIDDLE  ALT=\"a+=+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > (amt of the %9 beans to use)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+100+-+25 ALIGN=MIDDLE  ALT=\"b+=+100+-+25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+75 ALIGN=MIDDLE  ALT=\"b+=+75\"   DISABLED_style= \"max-width:90%; height:auto;\" > (amt of the $12 beans to use)<BR>\n" );
document.write( "check<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2Aa+%2B+12%2Ab%29+%2F+100+=+11.25+%2F+1 ALIGN=MIDDLE  ALT=\"%289%2Aa+%2B+12%2Ab%29+%2F+100+=+11.25+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%2A25+%2B+12%2A75%29+%2F+100+=+11.25+%2F+1 ALIGN=MIDDLE  ALT=\"%289%2A25+%2B+12%2A75%29+%2F+100+=+11.25+%2F+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "do the math- checks OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );