document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1157597>Question 1157597</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Town A and Town B were located close to each other, and recently merged into one city. Town A had a population with 12% African Americans. Town B had a population with 8% African Americans. After the merge, the new city has a total of 4000 residents, with 9.4% African Americans. How many residents did Town A and Town B used to have? </SPAN>\n" );
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document.write( "Here is a non-algebraic method for solving this type of \"mixture\" problem.<br><BR>\n" );
document.write( "The difference between 8% and 9.4% is 1.4%; the difference between 12% and 9.4% is 2.6%.<BR>\n" );
document.write( "That means the ratio of the populations of the two towns before the merger was 1.4:2.6, or 14:26.<BR>\n" );
document.write( "With a combined population of 40,000, and a ratio of 14:26, the populations of the two towns were 14,000 and 26,000.<BR>\n" );
document.write( "And since 9.4% is closer to 8% than to 12%, town B had the larger population.<br><BR>\n" );
document.write( "ANSWERS:<BR>\n" );
document.write( "Town A: 14,000<BR>\n" );
document.write( "Town B: 26,000<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( ".12(14,000) + .08(26,000) = 1680+2080 = 3760<BR>\n" );
document.write( ".094(40,000) = 3760<br><BR>\n" );
document.write( " </SPAN>\n" );
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