document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920913>Question 920913</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One car can travel 35 miles on a gallon of gasoline. The second can only travel 20 miles on a gallon of gasoline. Both cars want to take a trip. One car will follow the other, so each will travel the same distance. How far can the cars travel if they only have $308 to spend on gas, which costs $3.50 per gallon? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #558656 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=558656\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Fuel efficiency and cost.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Try forming a data table.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "___________________rate____________volume__________distance<BR>\n" );
document.write( "CARa_______________35_______________u______________d<BR>\n" );
document.write( "Carb_______________20_______________v______________d<BR>\n" );
document.write( "TOTAL_______________________________?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Car_a  using u gallons, spending at $3.50 per gallon will spend u*(3.5) dollars.<BR>\n" );
document.write( "Car_b using v gallons, spends v*(3.50) dollars.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "THEY have $308, so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283.5%28u%2Bv%29=308%29 ALIGN=MIDDLE  ALT=\"highlight_green%283.5%28u%2Bv%29=308%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Look at the data table again.  Both cars each go the same distance, d.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2835u=20v%29 ALIGN=MIDDLE  ALT=\"highlight_green%2835u=20v%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, according to basic rule for uniform rates, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=RX=Y ALIGN=MIDDLE  ALT=\"RX=Y\"   DISABLED_style= \"max-width:90%; height:auto;\" > for any rate being the ratio of Y to X.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The system of two linear equation in two unknown variables is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28system%283.5%28u%2Bv%29=308%2C35u=20v%29%29 ALIGN=MIDDLE  ALT=\"highlight%28system%283.5%28u%2Bv%29=308%2C35u=20v%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solve this system for u and v, the gallons of fuel that each car must use; and then use u and v or either of them, to find the distance d that each car goes. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );