document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87967>Question 87967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A travel agent offers two package vacation plans. The first plan costs $360 and includes 3 days at a hotel and a rental car for 2 days. The second plan costs $500 and includes 4 days at a hotel and a rental car for 3 days. The daily charge for the room is the same under each plan, as is the daily charge for the car. Find the cost per day for the room and for the car. (Please show your system of equations and answer the question in a complete sentence.)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #63861 by </B><A HREF=/tutors/aboutme.mpl?userid=dolly><B>dolly(163)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dolly><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=63861\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the cost per day for the room be $x and that of the car be $y.\r<BR>\n" );
document.write( "\n" );
document.write( "As per the first plan, 3x+2y = 360\r<BR>\n" );
document.write( "\n" );
document.write( "As per the second plan, 4x+3y = 500\r<BR>\n" );
document.write( "\n" );
document.write( "So the system of equations are \r<BR>\n" );
document.write( "\n" );
document.write( "3x+2y = 360 -------------(1)\r<BR>\n" );
document.write( "\n" );
document.write( "4x+3y = 500 -------------(2)\r<BR>\n" );
document.write( "\n" );
document.write( "This is going to be solved by elimination.\r<BR>\n" );
document.write( "\n" );
document.write( "(1) times 3 gives, 9x+6y = 1080\r<BR>\n" );
document.write( "\n" );
document.write( "(2) times 2 gives, 8x+6y = 1000\r<BR>\n" );
document.write( "\n" );
document.write( "Subtracting the above 2 equations, x = 80\r<BR>\n" );
document.write( "\n" );
document.write( "Plugging in this value in (1), <BR>\n" );
document.write( "3(80)+2y = 360\r<BR>\n" );
document.write( "\n" );
document.write( "240+2y = 360\r<BR>\n" );
document.write( "\n" );
document.write( "==> 2y = 360 - 240\r<BR>\n" );
document.write( "\n" );
document.write( "==> 2y = 120\r<BR>\n" );
document.write( "\n" );
document.write( "==> y = 60\r<BR>\n" );
document.write( "\n" );
document.write( "Thus the cost of a room per day is $80 and that for a car is $60 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );