document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87956>Question 87956</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word problem:<BR>\n" );
document.write( "20 gallons of fuel and 14 gallons of collant cost $12,000 - needed for first simulation test<BR>\n" );
document.write( "15 gallons of fuel and 9 gallons of coolant cost $8,000 - needed for second simulation test<BR>\n" );
document.write( "What is the cost per gallon of fuel and a collant tank for the project?<BR>\n" );
document.write( "Steps<BR>\n" );
document.write( "1.  assign variables<BR>\n" );
document.write( "2.   write algebraic model<BR>\n" );
document.write( "3.   solve model<BR>\n" );
document.write( "4.     answer<BR>\n" );
document.write( "thanks <BR>\n" );
document.write( "bb </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63852 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=63852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Word problem:<BR>\n" );
document.write( "20 gallons of fuel and 14 gallons of collant cost $12,000 - needed for first simulation test<BR>\n" );
document.write( "15 gallons of fuel and 9 gallons of coolant cost $8,000 - needed for second simulation test<BR>\n" );
document.write( "What is the cost per gallon of fuel and a collant tank for the project?<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "20f + 14c = 12000<BR>\n" );
document.write( "15f +  9c = 8000<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "Multiply 1st equation by 3 and 2nd equation by 4 to get:<BR>\n" );
document.write( "60f + 42c = 36000<BR>\n" );
document.write( "60f + 36c = 32000<BR>\n" );
document.write( "---------<BR>\n" );
document.write( "Subtract the 2nd equation from the 1st to solve for c, as follows:<BR>\n" );
document.write( "6c = 4000<BR>\n" );
document.write( "c = $666.67 (Cost of a gallon of coolant)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Substitute to solve for f, as follows:<BR>\n" );
document.write( "20f + 14*666.67 = 12000<BR>\n" );
document.write( "20f + 9333.33 = 12000<BR>\n" );
document.write( "20f = 10666.67<BR>\n" );
document.write( "f = $533.33 (Cost of a gallon of fuel)<BR>\n" );
document.write( "===========<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );