document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167445>Question 167445</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and Intermediate Algebra, 3e</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Elementary and Intermediate Algebra, 3e   ISBN: 9780073533490   Author: Mark Dugopolski  Citation Generator  <BR>\n" );
document.write( "copyright © 2009 The McGraw-Hill Companies  \r<BR>\n" );
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document.write( "page 487 Number 14\r<BR>\n" );
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document.write( "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.<BR>\n" );
document.write( "14. 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 #123443 by </B><A HREF=/tutors/aboutme.mpl?userid=aswathytony><B>aswathytony(47)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=aswathytony><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=123443\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the rental charge of single room be 'x' and that of double room be 'y'\r<BR>\n" );
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document.write( "    5x + 12 y = 390 ........(i) \r<BR>\n" );
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document.write( "    9x + 10 y = 412 .........(ii)\r<BR>\n" );
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document.write( "(i) * 9  & (ii)* 5\r<BR>\n" );
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document.write( "       5x *9 + 12y * 9 = 390 * 9 <BR>\n" );
document.write( "          45x + 108 y =  3510 ..........(iii)\r<BR>\n" );
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document.write( "    9x * 5  + 10y * 5 = 412 *5 <BR>\n" );
document.write( "         45 x  + 50 y = 2060  ............(iv)\r<BR>\n" );
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document.write( "         (iii) - (iv)\r<BR>\n" );
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document.write( "            58y = 1450 \r<BR>\n" );
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document.write( "           y  = 1450/ 58 <BR>\n" );
document.write( "              = 25 <BR>\n" );
document.write( " substituting y =25 in (i)<BR>\n" );
document.write( "        5x + 12 * 25 = 390<BR>\n" );
document.write( "                5x = 390-300 = 90<BR>\n" );
document.write( "                     x = 90 / 5 = 18 .\r<BR>\n" );
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document.write( "Rental charges for single room =$18<BR>\n" );
document.write( "rental charges for double room = $ 25  </SPAN>\n" );
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