document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=63261>Question 63261</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #44032 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=44032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LEt the coffee merchant has x lb and y lb of the coffee beans\r<BR>\n" );
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document.write( "x + y =100\r<BR>\n" );
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document.write( "x*  9 +y * 12 = 11.25 * 100\r<BR>\n" );
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document.write( "We shallsolve the given equations\r<BR>\n" );
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document.write( "WE rewrite the equation(1) as\r<BR>\n" );
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document.write( "x = 100 - y -->(3)\r<BR>\n" );
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document.write( "Now substitue equation(3) in equation(2), we get\r<BR>\n" );
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document.write( "(100 - y) * 9 + y *12 = 11.25 * 100\r<BR>\n" );
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document.write( "900 - 9y + 12y = 1125\r<BR>\n" );
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document.write( "900 + 3y = 1125\r<BR>\n" );
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document.write( "3y = 1125 - 900 = 225\r<BR>\n" );
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document.write( "3y =225\r<BR>\n" );
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document.write( "Divide by 3 we get,\r<BR>\n" );
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document.write( "y = 225 / 3\r<BR>\n" );
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document.write( "y = 75 lb\r<BR>\n" );
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document.write( "Now substitue the \"y\" value in equation)3), we get\r<BR>\n" );
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document.write( "x = 100 - 75  =  25lb\r<BR>\n" );
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document.write( "Therefore the quantity  of coffee beans of first type is 75lb and the second type is 25 lb<BR>\n" );
document.write( " </SPAN>\n" );
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