document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=854899>Question 854899</A>: <I><SPAN STYLE=\"word-break: break-all;\"> well i have to change this problem to systems of linear equations\r<BR>\n" );
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document.write( "lou wants to make a coffee mixture to sell. He is going to sumatra coffee which costs $2.50 per pound with columbian coffee which costs $3.75 per pound. he wants to make 50 pounds of mix and he wants to cost of mix to be $3.35 per pound. of each  will he need  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #514974 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=514974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = number of pounds of sumatra at 2.50 per pound.<BR>\n" );
document.write( "y = number of pounds of columbian at 3.75 per pound.<BR>\n" );
document.write( "want a mix of both at 3.35 per pound.<BR>\n" );
document.write( "total of both will be 50 pounds.\r<BR>\n" );
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document.write( "x + y = 50<BR>\n" );
document.write( "2.50 * x + 3.75 * y = 3.35 * 50\r<BR>\n" );
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document.write( "simplify the second equation to get:\r<BR>\n" );
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document.write( "x + y = 50<BR>\n" );
document.write( "2.5x + 3.75y = 167.5\r<BR>\n" );
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document.write( "multiply the first equation by -2.5 to get:\r<BR>\n" );
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document.write( "-2.5x - 2.5y = -2.5 * 50<BR>\n" );
document.write( "2.5x + 3.75y = 167.5\r<BR>\n" );
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document.write( "simplify the first equation to get:\r<BR>\n" );
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document.write( "-2.5x -2.5y = -125<BR>\n" );
document.write( "2.5x + 3.75y = 167.5\r<BR>\n" );
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document.write( "add the 2 equations together to get:\r<BR>\n" );
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document.write( "1.25y = 42.5\r<BR>\n" );
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document.write( "divide both sides of this equation to get:\r<BR>\n" );
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document.write( "y = 42.5 / 1.25 = 34\r<BR>\n" );
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document.write( "since x + y = 50, then x must be equal to 16.\r<BR>\n" );
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document.write( "you have:\r<BR>\n" );
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document.write( "x = 16<BR>\n" );
document.write( "y = 34<BR>\n" );
document.write( "x  + y = 50\r<BR>\n" );
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document.write( "2.5x + 3.75y = 167.5<BR>\n" );
document.write( "substitute 16 for x and 34 for y to get:<BR>\n" );
document.write( "2.5 * 16 + 3.75 * 34 = 167.5<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "167.5 = 167.5<BR>\n" );
document.write( "this confirms the solution of x = 16 and y = 34 is good.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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