document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33715>Question 33715</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone help me with his word problem?\r<BR>\n" );
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document.write( "Solve by any method and show equations and major steps:<BR>\n" );
document.write( "Computerwarehouse.com charges $3 for shipping orders up to 10 lb, $5 for orders from 10 lb to 15 lb, and $7.50 for orders of 15 lb or more. One day shipping charges for 150 orders totaled $680. The number of orders under 10 lb was three times the number of orders weighing 15 lb or more. Find the number of packages shipped at each rate. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #20138 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=20138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) first, define the variables:<BR>\n" );
document.write( "s=number of orders under 10 pounds<BR>\n" );
document.write( "m=number of orders between 10 and 15 pounds<BR>\n" );
document.write( "L=number of orders more than 15 pounds<BR>\n" );
document.write( "2.) now, let us produce the three essential equations:<BR>\n" );
document.write( "3s + 5m + 7.5L = 680 <BR>\n" );
document.write( "the cost times the amount of orders will equal the total cost<BR>\n" );
document.write( "s - 3L = 0<BR>\n" );
document.write( "there were three times as much orders under 10lb than there were above 15lb<BR>\n" );
document.write( "s + m + L = 150<BR>\n" );
document.write( "there were 150 orders in all<BR>\n" );
document.write( "3.) next, you combine equations to get:<BR>\n" );
document.write( "5m + 16.5L = 680<BR>\n" );
document.write( "and<BR>\n" );
document.write( "m + 4L = 150<BR>\n" );
document.write( "4.) then, combine these to get:<BR>\n" );
document.write( "L = 20<BR>\n" );
document.write( "5.) now, plug L into one of the equations mentioned in step (3) and you get:<BR>\n" );
document.write( "m = 70<BR>\n" );
document.write( "6.) last, plug in m and L in one of the equations mentioned in step (2) and you get: s = 60<BR>\n" );
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document.write( "the answer is: s=60 while m=70 while L=20 </SPAN>\n" );
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