document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=168297>Question 168297</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 \r<BR>\n" );
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document.write( "Page 487 Number 14<BR>\n" );
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 #124062 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=124062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lets call the cost of singles s and the cost of doubles d\r<BR>\n" );
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document.write( "so:\r<BR>\n" );
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document.write( "5s+12d=390....eq 1<BR>\n" );
document.write( "9s+10d=412....eq 2\r<BR>\n" );
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document.write( "lets eliminate one of the variables by multiplying eq 1 by -9 and eq 2 by 5\r<BR>\n" );
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document.write( "-45s-108d=-3510............now add these two together and the s terms are <BR>\n" );
document.write( " 45s+50d =2060.............eliminated.<BR>\n" );
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document.write( "-58d=-1450\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28d=25%29 ALIGN=MIDDLE  ALT=\"highlight%28d=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >cost of a double<BR>\n" );
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document.write( "now plug in d's value into eq 1 or 2. I chose eq 1\r<BR>\n" );
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document.write( "5s+12(25)=390<BR>\n" );
document.write( "5s+300=390<BR>\n" );
document.write( "5s=90<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28s=18%29 ALIGN=MIDDLE  ALT=\"highlight%28s=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > cost of a single<BR>\n" );
document.write( " </SPAN>\n" );
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