document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=731340>Question 731340</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maria's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Maria 4.30 per pound, and type B coffee costs 5.40 per pound. This month, Maria made 167 pounds of the blend, for a total cost of 825.90  . How many pounds of type A coffee did she use?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #447101 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=447101\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ASSIGN VARIABLES<BR>\n" );
document.write( "L=4.30 dollars per pound, type A<BR>\n" );
document.write( "H=5.40 dollars per pound, type B<BR>\n" );
document.write( "C=825.90 dollars cost of blend typeA+typeB<BR>\n" );
document.write( "u=unknown pounds of type A<BR>\n" );
document.write( "v=unknown pounds of type B<BR>\n" );
document.write( "M=167 pounds blend typeA+typeB\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "MAKE SYSTEM OF EQUATIONS<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BHv=C ALIGN=MIDDLE  ALT=\"Lu%2BHv=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=M ALIGN=MIDDLE  ALT=\"u%2Bv=M\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "SOLVE FOR UNKNOWN VARIABLES<BR>\n" );
document.write( "Easiest may be use the material sum equation to get a formula for either u or v and substitute this expression into the cost equation and solve for the other variable; and then use the resulting formula in the material sum equation again to solve for a formula for the first variable.  The system is already two equations with two unknowns, and these equations are linear.\r<BR>\n" );
document.write( "\n" );
document.write( "Since we are asked to find how much of type A coffee, ...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%2Bv=M ALIGN=MIDDLE  ALT=\"u%2Bv=M\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v=M-u ALIGN=MIDDLE  ALT=\"v=M-u\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Lu%2BH%2A%28M-u%29=C ALIGN=MIDDLE  ALT=\"Lu%2BH%2A%28M-u%29=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You continue from here.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "COMPUTE VALUES FOR UNKNONWS<BR>\n" );
document.write( "Substitute the values to find the values for u and v. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );