document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739016>Question 739016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ashley's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ashley  per pound, and type B coffee costs  per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of  . How many pounds of type A coffee were used? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #450985 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=450985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put in some numbers, even if they are variables.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Type A coffee costs Ashley  A dollars per pound, and type B coffee costs  B dollars per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of  C dollars. How many pounds, a, of type A coffee were used?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That is using a = pounds of type A coffee <BR>\n" );
document.write( "and<BR>\n" );
document.write( "b = pounds of type B coffee\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The ratio statement gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa=3 ALIGN=MIDDLE  ALT=\"b%2Fa=3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where b is the amount of type B coffee in this month's blend.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Accounting for cost, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2AA%2Bb%2AB=C ALIGN=MIDDLE  ALT=\"a%2AA%2Bb%2AB=C\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The description does not clearly tell which variables are known or unknown; but only describes their occurrence or existence.  The QUESTION asks for how many pounds of type A coffee, the number which is here assigned as \"a\".  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "You have two equation, and either one or two unknown, a and b.  We want to solve just for a:<BR>\n" );
document.write( "b/a=3 gives us <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=3a ALIGN=MIDDLE  ALT=\"b=3a\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  SUBSTITUTE into the cost equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2AA%2B%283a%29B=C ALIGN=MIDDLE  ALT=\"a%2AA%2B%283a%29B=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And continue solution steps to get a,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=aA%2B3aB=C ALIGN=MIDDLE  ALT=\"aA%2B3aB=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%28A%2B3B%29=C ALIGN=MIDDLE  ALT=\"a%28A%2B3B%29=C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=C%2F%28A%2B3B%29%29 ALIGN=MIDDLE  ALT=\"highlight%28a=C%2F%28A%2B3B%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );