document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=789807>Question 789807</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150lbs of blended coffee beans selling for $5.17 per pound. She plans to do this by blending together a high quality bean costing $6.00 per pound and a cheaper bean costing $3.50 a pound. To the nearest pound, find how much high quality bean and how much cheaper coffee bean she should use.\r<BR>\n" );
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document.write( "Hello! I was assuming that my equation would be something similar to 6x + 3.50y = 5.17... but I'm not sure how to incorporate and figure out the 150 lbs part? Help? Thank you!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #478942 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=478942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a mixture problem involving price and cost.  The target is about finding a price of resulting blend which becomes 5.17 DOLLARS per POUND.\r<BR>\n" );
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document.write( "{cost of blend}/{pounds of blend}={price of blend}\r<BR>\n" );
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document.write( "Let x = pounds of the 6 dollar a pound coffee<BR>\n" );
document.write( "Let y = pounds of the 3.5 dollar a pound coffee\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%286x%2B3.5y%29%2F%28150%29=5.17%29 ALIGN=MIDDLE  ALT=\"highlight%28%286x%2B3.5y%29%2F%28150%29=5.17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > AND <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%2By=150%29 ALIGN=MIDDLE  ALT=\"highlight%28x%2By=150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "YES.   TWO Equations.   They are both linear equations.  Work with the ratio equation so it is either easier to use for substitution or so it is in Standard Form:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3.5y=150%285.17%29 ALIGN=MIDDLE  ALT=\"6x%2B3.5y=150%285.17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 6 of the mass sum equation from this price equation to solve for y:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x%2B3.5y-%286x%2B6y%29=150%285.17%29-6%28150%29 ALIGN=MIDDLE  ALT=\"6x%2B3.5y-%286x%2B6y%29=150%285.17%29-6%28150%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.5y=150%285.17-6%29 ALIGN=MIDDLE  ALT=\"-2.5y=150%285.17-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5y=150%286-5.17%29 ALIGN=MIDDLE  ALT=\"2.5y=150%286-5.17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5y=150%280.83%29 ALIGN=MIDDLE  ALT=\"2.5y=150%280.83%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2.5%29150%280.83%29 ALIGN=MIDDLE  ALT=\"y=%281%2F2.5%29150%280.83%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=49.8 ALIGN=MIDDLE  ALT=\"y=49.8\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds<BR>\n" );
document.write( "Now find the other value higher priced coffee, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=100.2 ALIGN=MIDDLE  ALT=\"x=100.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To nearest pound,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=100%29 ALIGN=MIDDLE  ALT=\"highlight%28x=100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds, the more expensive coffee<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=50%29 ALIGN=MIDDLE  ALT=\"highlight%28y=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > pounds, the cheaper coffee<BR>\n" );
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