document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755186>Question 755186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> each bus holds 40 students and 3 teacher and costs $1200 to rent. Each van holds 8 student and 1 teacher and cost $100 to rent. The school has at least 400 student wanting to go, but at most 36 teachers. What is the minimum transportation cost? Make V ans equal \"x\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459680 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=459680\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Trying to fit this with variables and equations does not give me anything, so trying to think practical-like, you would want to use as many vans as possible until you run out of either uncarried teachers or students.  \r<BR>\n" );
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document.write( "Along that thinking, you fill 36 vans carrying 36 teachers and 288 students.  This leaves no uncarried teachers but 112 uncarried students still needing transportation.  \r<BR>\n" );
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document.write( "You want to unpack vans one by one until you can make available at least 1 teacher for 40 or less students.  \r<BR>\n" );
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document.write( "Unpack 1 van.  Get 1 teacher and 8+112=120 students.  You need more teachers.<BR>\n" );
document.write( "Unpack 2 vans.  Get 2 teachers and 8+8+112=128 students. You need more teachers.<BR>\n" );
document.write( "Unpack 3 vans.  Get 3 teachers and 8+8+8+112=136 students.\r<BR>\n" );
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document.write( "Unpacking 3 vans allows you 3 busses each with 40 students & 1 teacher, and 1 bus still needing a teacher. <BR>\n" );
document.write( "Unpack 4 vans.  Get 4 teachers and 32+112=144 students.<BR>\n" );
document.write( "Now, this will be 3 busses with 40 students each and 1 teacher each PLUS 1 more buss with 24 students and 1 teacher.\r<BR>\n" );
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document.write( "So how many vans now?  36-4=32 vans.<BR>\n" );
document.write( "How many buses now?   4 busses.<BR>\n" );
document.write( "COST= 32*100+4*1200<BR>\n" );
document.write( "COST =8000 dollars.\r<BR>\n" );
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document.write( "Note that hopefully my using only 1 teacher per 40 or less students on a bus is permitted.  Your description ALLOWS for 3 teacher per bus, but my objective was to use as many vans as possible, and believing that 1 teacher for a group of 40 students would be enough teachers.  I did not interpret the 3 teacher per bus as a requirement. </SPAN>\n" );
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