document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=164100>Question 164100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An owner of a gourmet food store has two varieties of herbal teas, one that costs $4 per kilogram and another that costs $5 per kilogram. How many kilograms of each type are needed to make 20 kg of a blend worth $4.60 per kilogram? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #120989 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=120989\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x=number of kilos needed of the $4 tea<BR>\n" );
document.write( "Then 20-x=number of kilos needed of the $5 tea\r<BR>\n" );
document.write( "\n" );
document.write( "Now we know that the value of the tea before it's mixed has to equal the value of the tea after it's mixed, ok?<BR>\n" );
document.write( "Value of the tea before it's mixed ($ understood)=4x+5(20-x)<BR>\n" );
document.write( "Value of the tea after it's mixed=4.60*20=92<BR>\n" );
document.write( "So, our equation to solve is:\r<BR>\n" );
document.write( "\n" );
document.write( "4x+5(20-x)=92  get rid of parens (distributive law)<BR>\n" );
document.write( "4x+100-5x=92  subtract 100 from each side<BR>\n" );
document.write( "4x+100-100-5x=92-100  collect like terms\r<BR>\n" );
document.write( "\n" );
document.write( "-x=-8  multiply each side by -1<BR>\n" );
document.write( "x=8 kilos---------------------------------amount of $4 tea needed<BR>\n" );
document.write( "20-x=20-8=12 kilos---------------------------amount of $5 tea needed<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "4*8+5*12=4.60*20<BR>\n" );
document.write( "32+60=92<BR>\n" );
document.write( "92=92\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps------ptaylor </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );