document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=4839>Question 4839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let's assume that the combined population of Anchorage and Tampa was 25,000 in 1995. By 1960 the population of Anchorage had increased by 10% while Tampa had increased by 9%. If the total population increased by 2380 people, then what was the population of each city in 1955. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2403 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=2403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I am assuming you mean 25,000 in 1955 rather than 1995...\r<BR>\n" );
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document.write( "Let T = number of people in Tampa in 1955<BR>\n" );
document.write( "Let A = number of people in Anchorage in 1955\r<BR>\n" );
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document.write( "Let .10A = The number of people Anchorage increased by<BR>\n" );
document.write( "Let .09T = The number of people Tampa increased by\r<BR>\n" );
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document.write( "We know that the 1955 population from Tampa and Anchorage = 25000 people, so:<BR>\n" );
document.write( "T+A=25000, or by subtracting A from both sides we can get:<BR>\n" );
document.write( "T=25000-A\r<BR>\n" );
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document.write( "And because the population increase was 2380 people, we can say:<BR>\n" );
document.write( ".10A+.09T=2380\r<BR>\n" );
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document.write( "Us substitution:<BR>\n" );
document.write( ".10A+.09T=2380<BR>\n" );
document.write( ".10A+.09(25000-A)=2380\r<BR>\n" );
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document.write( "Clear parentheses, and combine like terms:<BR>\n" );
document.write( ".10A+2250-.09A=2380<BR>\n" );
document.write( ".01A+2250=2380<BR>\n" );
document.write( ".01A=130<BR>\n" );
document.write( "A=13000\r<BR>\n" );
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document.write( "Use one of your equations to get the T result:<BR>\n" );
document.write( "T+A=25000<BR>\n" );
document.write( "T+13000=25000<BR>\n" );
document.write( "T=12000\r<BR>\n" );
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document.write( "Check your results with the other formula:<BR>\n" );
document.write( ".10(13000)+.09(12000)=2380<BR>\n" );
document.write( "1300+1080=2380\r<BR>\n" );
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document.write( "This is a true statement, so the solution is:<BR>\n" );
document.write( "Anchorage 1955 population = 13000<BR>\n" );
document.write( "Tampa 1955 population = 12000\r<BR>\n" );
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document.write( " </SPAN>\n" );
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