document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=187098>Question 187098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> CAN SOMEONE HELP ME WITH THIS PROBLEM?  I AM A MATH DISASTER AND CANNOT FIGURE OUT HOW TO FIGURE THIS OUT?  THANKS SO MUCH!<BR>\n" );
document.write( "Different growth rates. The combined population of Marysville and Springfield was 25,000 in 2000. By 2005 the population of Marysville had increased by 10%, while Springfield had increased by 9%. If the total population increased by 2380 people then what was the poulation of each city in 2000?<BR>\n" );
document.write( "Can anyone help me solve this problem by substitution<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140283 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The combined population of Marysville and Springfield was 25,000 in 2000.<BR>\n" );
document.write( " By 2005 the population of Marysville had increased by 10%, while Springfield<BR>\n" );
document.write( "had increased by 9%. If the total population increased by 2380 people then what<BR>\n" );
document.write( " was the population of each city in 2000?<BR>\n" );
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document.write( "Let s = Springfield population in 2000<BR>\n" );
document.write( "Let m = Marysville population in 2000<BR>\n" );
document.write( "Then<BR>\n" );
document.write( ".09s = Springfield increase by 2005<BR>\n" );
document.write( ".1m = Marysville increase by 2005<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"The combined population of Marysville and Springfield was 25,000 in 2000.\"<BR>\n" );
document.write( "m + s = 25000<BR>\n" );
document.write( "or<BR>\n" );
document.write( "s = (25000 - m)<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"By 2005 the population of Marysville had increased by 10%, while Springfield had increased by 9%. If the total population increased by 2380 people\"<BR>\n" );
document.write( ".1m + .09s = 2380<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"then what was the population of each city in 2000?\"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Substitute (25000-m) for s in the above equation:<BR>\n" );
document.write( ".1m + .09(25000-m) = 2380<BR>\n" );
document.write( ".1m + 2250 - .09m = 2380<BR>\n" );
document.write( ".1m - .09m = 2380 - 2250<BR>\n" );
document.write( ".01m = 130<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=130%2F.01 ALIGN=MIDDLE  ALT=\"130%2F.01\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m = 13,000 is the 2000 population of Marysville<BR>\n" );
document.write( "then<BR>\n" );
document.write( "s = 25000 - 13000<BR>\n" );
document.write( "s = 12,000 is the 2000 population of Springfield<BR>\n" );
document.write( ";<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Check solution by finding the amt of increase in 2005<BR>\n" );
document.write( ".1(13000) + .09(12000) =<BR>\n" );
document.write( " 1300 + 1080 = 2380, confirms our solutions<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "did this make sense to you now? Any questions about it? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );