document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450034>Question 450034</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help with the following word problem?<BR>\n" );
document.write( "Best Rentals charges a daily fee plus a mileage fee for renting its cars. Barney was charged $69 for 3 days and 300 miles, while Mary was charged $123 for 5 days and 600 miles. Find the daily fee and find the mileage charge?<BR>\n" );
document.write( "I have no idea where to start!  Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #309609 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=309609\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let d = the daily fee<BR>\n" );
document.write( "Let m = the mileage charge<BR>\n" );
document.write( "For Barney's charges we can write:<BR>\n" );
document.write( "69 = 3d + 300m [3 day rental, 300 mi]<BR>\n" );
document.write( "For Mary's charges, we can write:<BR>\n" );
document.write( "123 = 5d + 600m [ 5 day rental, 600 mi]<BR>\n" );
document.write( "We have two equations and two unknowns so we can solve.<BR>\n" );
document.write( "Multiplying the 1st equation by 2 and subtracting the 2nd gives:<BR>\n" );
document.write( "138 - 123 = 6d - 5d<BR>\n" );
document.write( "15 = d<BR>\n" );
document.write( "Now we can use this value for d to solve for m.  From the 1st equation above, we have:<BR>\n" );
document.write( "69 = 3(15) + 300m<BR>\n" );
document.write( "24/300 = m = 0.08<BR>\n" );
document.write( "Therefore, the daily fee is $15 and the mileage charge is $0.08 per mile.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );