document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165370>Question 1165370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A​ person's website specializes in the sale of rare or unusual vegetable seeds. He sells packets of​ sweet-pepper seeds for ​$2.32 each and packets of​ hot-pepper seeds for ​$4.56 each. He also offers a 16​-packet mixed pepper assortment combining packets of both types of seeds at ​$2.88 per packet. How many packets of each type of seed are in the​ assortment? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789859 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=789859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If a formal algebraic solution is not required, here is a quick and easy way to solve any 2-part mixture problem like this.<br><BR>\n" );
document.write( "(1) Find where the per-packet price for the mixture lies between the per-packet prices of the two types of seeds.<br><BR>\n" );
document.write( "4.56-2.32 = 2.24<BR>\n" );
document.write( "2.88-2.32 = 0.56<BR>\n" );
document.write( "0.56/2.24 = 1/4<br><BR>\n" );
document.write( "The per-packet price for the mixture is one-fourth of the way from $2.24 to $4.56.<br><BR>\n" );
document.write( "(2) That means 1/4 of the packets in the assortment are packets of the higher-priced seed.<br><BR>\n" );
document.write( "ANSWER: 1/4 of 16 packets, or 4 packets, of the hot-pepper seeds; the other 12 packets are of sweet-pepper seeds.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "12(2.32)+4(4.56) = 27.84+18.24 = 46.08<BR>\n" );
document.write( "16(2.88) = 46.08<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );