document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178773>Question 1178773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in the tea shop they prepare a tea mixture with a price of 165 euros per kilogram. they will use cherry-flavored tea for EUR 250 per kilogram and apple tea 150 per kilogram to prepare this mixture. how many grams of tea they need to prepare one kilogram of mixture. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #808171 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=808171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The response from tutor @mananth makes the problem look more complicated than it is.  The solution to a problem is always easier if you set it up using a single variable instead of two.  And why she chooses always to represent whole numbers with 2 decimal places is a mystery....<br><BR>\n" );
document.write( "Let x = grams of apple tea at 150 EUR per kg<BR>\n" );
document.write( "Then 1000-x = grams of cherry tea at 250 EUR per kg<br><BR>\n" );
document.write( "The mixture is to be 1000 grams at 165 EUR per kg:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150%28x%29%2B250%281000-x%29+=+165%281000%29 ALIGN=MIDDLE  ALT=\"150%28x%29%2B250%281000-x%29+=+165%281000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=150x%2B250000-250x+=+165000 ALIGN=MIDDLE  ALT=\"150x%2B250000-250x+=+165000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=85000+=+100x ALIGN=MIDDLE  ALT=\"85000+=+100x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+85000%2F100+=+850 ALIGN=MIDDLE  ALT=\"x+=+85000%2F100+=+850\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: x=850 grams of apple tea, 1000-x=150 grams of cherry tea<br><BR>\n" );
document.write( "If a formal algebraic solution is not required, and if the speed of obtaining a solution is important (as in a timed math competition), solution can be obtained very quickly with some logical reasoning and a bit of mental arithmetic.<br><BR>\n" );
document.write( "The cost per kg of the mixture, 165, is 15/100 of the way from 150 to 250, the costs per kg of the two ingredients (picture the three numbers 150, 165, and 250 on a number line, if it helps).<BR>\n" );
document.write( "That means 15/100 of the mixture must be the more expensive ingredient.<BR>\n" );
document.write( "ANSWER: 15/100 of 1000g, or 150g, of the cherry tea, the other 850g of apple tea.<br><BR>\n" );
document.write( " </SPAN>\n" );
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