document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=153484>Question 153484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with some word problems. I have tried for several hours and cant figure out where to begin. \r<BR>\n" );
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document.write( "A coffee maker wants to make a coffee blend by mixing two different coffee beans. Colombian coffee is $3 per pound, while Costa Rican coffee is $6 per pound. The company wants 90 pounds of this mixture which will sell for $4 per pound. How many pounds of each type of coffee should be used?<BR>\n" );
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document.write( "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 #113004 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=113004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Colombian $3.00/lb, let's use C as the number of pounds of Colombian.<BR>\n" );
document.write( "Costa Rica $6.00/lb, let's use R as the number of pounds of Costa Rican.<BR>\n" );
document.write( "We want a total 90 pounds so we know,<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2BR=90 ALIGN=MIDDLE  ALT=\"C%2BR=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "We also want to sell it for $4.00/lb. <BR>\n" );
document.write( "The average price will be cost of the Colombian plus the cost of the Costa Rican divided by the total number of pounds. <BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283C%2B6R%29%2F%28C%2BR%29=4 ALIGN=MIDDLE  ALT=\"%283C%2B6R%29%2F%28C%2BR%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1, we can substitute into 2,<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283C%2B6R%29%2F%28C%2BR%29=4 ALIGN=MIDDLE  ALT=\"%283C%2B6R%29%2F%28C%2BR%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283C%2B6R%29%2F90=4 ALIGN=MIDDLE  ALT=\"%283C%2B6R%29%2F90=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C%2B6R=360 ALIGN=MIDDLE  ALT=\"3C%2B6R=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Use eq. 1 to solve for C in terms of R.<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2BR=90 ALIGN=MIDDLE  ALT=\"C%2BR=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=90-R ALIGN=MIDDLE  ALT=\"C=90-R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now substittue that expression into eq. 2 and solve for R.<BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C%2B6R=360 ALIGN=MIDDLE  ALT=\"3C%2B6R=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2890-R%29%2B6R=360 ALIGN=MIDDLE  ALT=\"3%2890-R%29%2B6R=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=270-3R%2B6R=360 ALIGN=MIDDLE  ALT=\"270-3R%2B6R=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3R=90 ALIGN=MIDDLE  ALT=\"3R=90\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28R=30%29 ALIGN=MIDDLE  ALT=\"highlight%28R=30%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From above,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=90-R ALIGN=MIDDLE  ALT=\"C=90-R\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=90-30 ALIGN=MIDDLE  ALT=\"C=90-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28C=60%29 ALIGN=MIDDLE  ALT=\"highlight%28C=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's check the per pound price to verify the answer.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3C%2B6R=360 ALIGN=MIDDLE  ALT=\"3C%2B6R=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2860%29%2B6%2830%29=360 ALIGN=MIDDLE  ALT=\"3%2860%29%2B6%2830%29=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2B180=360 ALIGN=MIDDLE  ALT=\"180%2B180=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360=360 ALIGN=MIDDLE  ALT=\"360=360\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "True, good answer.<BR>\n" );
document.write( "60 pounds Colombian, 30 pounds Costa Rican.<BR>\n" );
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