document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186116>Question 1186116</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 16 lbs of Brand M Cinnamon costing $17/lb. was made by combining Indonesian cinnamon<BR>\n" );
document.write( " which costs $19/lbs with Thai cinnamon which costs $11/lb. Find out how much of each type<BR>\n" );
document.write( " of cinnamon was used to make the Brand M blend. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817052 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817052\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The solution from the other tutor is fine.  But nearly always an algebraic solution is easier if you set up the problem using a single variable.<br><BR>\n" );
document.write( "x = pounds of Indonesian cinnamon at $19/lb<BR>\n" );
document.write( "16-x = pounds of Thai cinnamon at $11/lb<br><BR>\n" );
document.write( "The 16 pounds mixture costs $17/lb:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%28x%29%2B11%2816-x%29=17%2816%29 ALIGN=MIDDLE  ALT=\"19%28x%29%2B11%2816-x%29=17%2816%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19x%2B176-11x=272 ALIGN=MIDDLE  ALT=\"19x%2B176-11x=272\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x=96 ALIGN=MIDDLE  ALT=\"8x=96\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=12 ALIGN=MIDDLE  ALT=\"x=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER:<BR>\n" );
document.write( "Indonesian cinnamon: x=12 pounds<BR>\n" );
document.write( "Thai cinnamon: 16-x=4 pounds<br><BR>\n" );
document.write( "CHECK: 19(12)+11(4)=228+44=272<br><hr><BR>\n" );
document.write( "Presumably this problem is to be solved by a student who is just learning how to use algebra to solve problems, so a formal algebraic solution like the one above is what was wanted.<br><BR>\n" );
document.write( "However, if a formal algebraic solution is not required, the answer to any 2-part mixture problem like this can be found quickly with a bit of easy mental arithmetic.<br><BR>\n" );
document.write( "(1) Observe/calculate that the $17 per pound cost of the mixture is 3/4 of the way from the $11 per pound cost of the Thai cinnamon to the $19 per pound cost of the Indonesian cinnamon.<BR>\n" );
document.write( "(2) That means 3/4 of the mixture is the more expensive cinnamon.<br><BR>\n" );
document.write( "ANSWER: 3/4 of 16 pounds, or 12 pounds, of Indonesian cinnamon, the other 4 pounds of Thai cinnamon.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );