document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1123322>Question 1123322</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 40% of the spectators at a football match are females. 25% of the spectators are whites. if 20% of the males are white, then what percent of the spectators are females who are non-white? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739631 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=739631\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 40% of the spectators are female.\r<BR>\n" );
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document.write( "this means the 60% of the spectators are male.\r<BR>\n" );
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document.write( "25% of the spectators are white.\r<BR>\n" );
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document.write( "this mean that 75% of the spectators are non-white.\r<BR>\n" );
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document.write( "20% of the male spectators are white means that 80% of the male spectators are non-white.\r<BR>\n" );
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document.write( "20% * 60% = .2 * .6 = .12 = 12% of the spectators are white males.\r<BR>\n" );
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document.write( "80% * 60% = .8 * .6 = .48 = 48% of the spectators are non-white males.\r<BR>\n" );
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document.write( "25% of the spectators are white with 12% of the spectators being white males means that 13% of the spectators are white females.\r<BR>\n" );
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document.write( "13% / 40% = .13 / .4 = .325 = 32.5% of the female spectators are white.\r<BR>\n" );
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document.write( "this means that 67.5% of the female spectators are non-white.\r<BR>\n" );
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document.write( "67.5% * 40% = .675 * .4 = .27 = 27% of the spectators are non-white females.\r<BR>\n" );
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document.write( "you have enough information to draw up a chart as shown below:\r<BR>\n" );
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document.write( "color                 male              female            total\r\n" );
document.write( "white                 12%               13%               25%\r\n" );
document.write( "non-white             48%               27%               75%\r\n" );
document.write( "total                 60%               40%               100%\r\n" );
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document.write( "the charts is read as follows:\r<BR>\n" );
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document.write( "12% are white males and 13% are white females for a total of 25% white.<BR>\n" );
document.write( "48% are non-white males and 27% are non-white females for a total of 75% non-white.<BR>\n" );
document.write( "60% are males and 40% are females for a total of 100%.\r<BR>\n" );
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document.write( "if you want to know what percent of the males are white, you take 12% and divide it by 60% to get .12/.6 = .2 = 20% of the males are white.\r<BR>\n" );
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document.write( "if you want to know what percent of the females are non-white, you take 27% and divide it by 40% to get .27/.4 = .675 = 67.5% of the females are non-white.\r<BR>\n" );
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document.write( "working with percents can be tricky.\r<BR>\n" );
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document.write( "converting your percents to decimal equivalents and then doing the arithmetic and then converting the decimal equivalent back to percent is one way of handling it, as i did above.\r<BR>\n" );
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document.write( "decimal equivalent = percent / 100.\r<BR>\n" );
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document.write( "percent = decimal equivalent * 100.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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