document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1187869>Question 1187869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> abby mixes cinnamon and nutmeg to make 25g of spice mix. Cinnamon costs 9 cents/g and nutmeg costs 12.5 cents/g. The spice mix costs 9.7 cents/g. How much of each spice does abby need to use? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #818891 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=818891\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Here is a quick informal way to solve any \"mixture\" problem like this -- if a formal algebraic solution is not required.<br><BR>\n" );
document.write( "Where the cost per gram of the mixture lies between the costs per gram of each ingredient determines the ratio in which the two ingredients must be mixed.<br><BR>\n" );
document.write( "Look at the three costs per gram on a number line -- 9, 9.7, and 12.5 -- and observe/calculate that 9.7 is 1/5 of the way from 9 to 12.5: (9.7-9)/(12.5-9) = 0.7/3.5 = 1/5<br><BR>\n" );
document.write( "That means 1/5 of the mixture is the more expensive ingredient.<br><BR>\n" );
document.write( "ANSWER: 1/5 of 25g, or 5g, of nutmeg; the other 20g of cinnamon<br><BR>\n" );
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