document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=271094>Question 271094</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each problem, write a system of equations in two or<BR>\n" );
document.write( "three variables. Use the method of your choice to solve each<BR>\n" );
document.write( "system.\r<BR>\n" );
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document.write( "One night the manager of the Sea Breeze Motel rented<BR>\n" );
document.write( "5 singles and 12 doubles for a total of $390. The next night<BR>\n" );
document.write( "he rented 9 singles and 10 doubles for a total of $412.<BR>\n" );
document.write( "What is the rental charge for each type of room? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #198490 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=198490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One night the manager of the Sea Breeze Motel rented<BR>\n" );
document.write( "5 singles and 12 doubles for a total of $390. The next night<BR>\n" );
document.write( "he rented 9 singles and 10 doubles for a total of $412.<BR>\n" );
document.write( "What is the rental charge for each type of room?<BR>\n" );
document.write( "-----------------------------------------------------<BR>\n" );
document.write( "Equations:<BR>\n" );
document.write( "5s + 12d = 390<BR>\n" );
document.write( "9s + 10d = 412<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Multiply 1st by 9 ; Multiply 2nd by 5<BR>\n" );
document.write( "45s + 108d = 9*390<BR>\n" );
document.write( "45s + 50d = 5*412<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "Subtract the 2nd from the 1st and solve for \"d\":<BR>\n" );
document.write( "58d = 1450<BR>\n" );
document.write( "d = $25 (rental rate on doubles)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Substitute into 5s + 12d = 390 to solve for \"s\":<BR>\n" );
document.write( "5s + 12(25) = 390<BR>\n" );
document.write( "5s = 90<BR>\n" );
document.write( "s = $18 (rental rate on singles)<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );