document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154244>Question 1154244</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Three varieties of coffee long dash Coffee​ A, Coffee​ B, and Coffee C long dash are combined and​ roasted, yielding a 51​-lb batch of coffee beans. Twice as many pounds of Coffee​ C, which retails for ​$10.39 per​ lb, are needed as Coffee​ A, which sells for ​$14.99 per lb. Coffee B retails for ​$13.99 per lb. How many pounds of each coffee should be used in a blend that sells for ​$12.61 per​ lb?<BR>\n" );
document.write( "Should be used <BR>\n" );
document.write( "nothing lb. of Coffee​ A, <BR>\n" );
document.write( "nothing lb. of Coffee B and <BR>\n" );
document.write( "nothing lb. of Coffee C. ​ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776652 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=776652\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This example looks like another similar or identical one solved about a week ago.\r<BR>\n" );
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document.write( "COFFEE        PRICE       QUANTITY        COST\r\n" );
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document.write( "  A           14.99        a             14.99a\r\n" );
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document.write( "  B           13.99        b             13.99b\r\n" );
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document.write( "  C           10.39       2a            2*10.39a\r\n" );
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document.write( "TOTALS                    51 \r\n" );
document.write( "Avg.          12.61             \r\n" );
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document.write( "Form two equations in the unknowns a and b:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283a%2Bb=51%2C14.99a%2B2%2A10.39a%2B13.99b=12.61%2A51%29 ALIGN=MIDDLE  ALT=\"system%283a%2Bb=51%2C14.99a%2B2%2A10.39a%2B13.99b=12.61%2A51%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify and solve the system.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%283a%2Bb=51%2C35.77a%2B13.99b=643.11%29 ALIGN=MIDDLE  ALT=\"system%283a%2Bb=51%2C35.77a%2B13.99b=643.11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplified system.\r<BR>\n" );
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document.write( "If choosing substitution of b, then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35.77a%2B13.99%2851-3a%29=643.11 ALIGN=MIDDLE  ALT=\"35.77a%2B13.99%2851-3a%29=643.11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=35.77a%2B713.49-41.97a=643.11 ALIGN=MIDDLE  ALT=\"35.77a%2B713.49-41.97a=643.11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2835.77-41.97%29a=643.11-713.49 ALIGN=MIDDLE  ALT=\"%2835.77-41.97%29a=643.11-713.49\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6.2a=-70.38 ALIGN=MIDDLE  ALT=\"-6.2a=-70.38\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=70.38%2F6.2 ALIGN=MIDDLE  ALT=\"a=70.38%2F6.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=11.35%29 ALIGN=MIDDLE  ALT=\"highlight%28a=11.35%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and you can solve for b and for 2a, and should check that the solutions work.<BR>\n" );
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