document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=61267>Question 61267</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0812387511/algebrahomeworkh>Algebra 1 An Integrated Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Boomtown's population of 350,000 increases by 15,000 per year, and Ghostville's population of 200,000 decreases by 10,000 per year.  In how many years will Boomtown's population be five times that of Ghostville? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #42158 by </B><A HREF=/tutors/aboutme.mpl?userid=joyofmath><B>joyofmath(189)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=joyofmath><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=42158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let population of Boomtown, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=350000%2B15000y ALIGN=MIDDLE  ALT=\"B=350000%2B15000y\"   DISABLED_style= \"max-width:90%; height:auto;\" > where y is the number of years into the future.\r<BR>\n" );
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document.write( "Let population of Ghostville, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=200000-10000y ALIGN=MIDDLE  ALT=\"G=200000-10000y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "We want to know the value of y where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=5G ALIGN=MIDDLE  ALT=\"B=5G\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=350000%2B15000y+=+5G+=+5%28200000-10000y%29 ALIGN=MIDDLE  ALT=\"B=350000%2B15000y+=+5G+=+5%28200000-10000y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Or, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=350000%2B15000y+=+1000000-50000y ALIGN=MIDDLE  ALT=\"350000%2B15000y+=+1000000-50000y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Subtract 350000 from both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15000y+=+650000-50000y ALIGN=MIDDLE  ALT=\"15000y+=+650000-50000y\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Add 50000y to both sides: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=65000y+=+650000 ALIGN=MIDDLE  ALT=\"65000y+=+650000\"   DISABLED_style= \"max-width:90%; height:auto;\" > so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=10 ALIGN=MIDDLE  ALT=\"y=10\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "In 10 years Boomtown will have 5 times as many people as Ghostville.\r<BR>\n" );
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document.write( "Verify:\r<BR>\n" );
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document.write( "In 10 years <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B=350000%2B15000%2810%29+=+350000%2B150000+=+500000 ALIGN=MIDDLE  ALT=\"B=350000%2B15000%2810%29+=+350000%2B150000+=+500000\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In 10 years <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=G=200000-10000%2810%29+=+200000-100000+=+100000 ALIGN=MIDDLE  ALT=\"G=200000-10000%2810%29+=+200000-100000+=+100000\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is 1/5 of B. </SPAN>\n" );
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