document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=172026>Question 172026</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a school board plans to merge 2 schools into a school of 1000 students of which 42% will be african american. One of the schools has a 10% african american student body and the3 other has a 90% african american student body. What is the studen population in each of the two schools? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #127074 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=127074\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is a mixture problem which could be 2 types of coffee beans<BR>\n" );
document.write( "or anything else. The key facts are: You end up with 42% African American<BR>\n" );
document.write( "and the total population of the 2 schools is 1000.<BR>\n" );
document.write( "Let the student population of the 1st school =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let the student population of the 2nt school =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b ALIGN=MIDDLE  ALT=\"b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Given:<BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+1000 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I can write:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.1a+%2B+.9b%29+%2F+%28a+%2B+b%29+=+.42 ALIGN=MIDDLE  ALT=\"%28.1a+%2B+.9b%29+%2F+%28a+%2B+b%29+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.1a+%2B+.9b%29+%2F+1000+=+.42 ALIGN=MIDDLE  ALT=\"%28.1a+%2B+.9b%29+%2F+1000+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1000 ALIGN=MIDDLE  ALT=\"1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1a+%2B+.9b+=+420 ALIGN=MIDDLE  ALT=\".1a+%2B+.9b+=+420\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply both sides of (1) by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1 ALIGN=MIDDLE  ALT=\".1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and subtract (1) from (3)<BR>\n" );
document.write( "(3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1a+%2B+.9b+=+420 ALIGN=MIDDLE  ALT=\".1a+%2B+.9b+=+420\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.1a+%2B+.1b+=+100 ALIGN=MIDDLE  ALT=\".1a+%2B+.1b+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.8b+=+320 ALIGN=MIDDLE  ALT=\".8b+=+320\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+400 ALIGN=MIDDLE  ALT=\"b+=+400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And, since<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b+=+1000 ALIGN=MIDDLE  ALT=\"a+%2B+b+=+1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+=+600 ALIGN=MIDDLE  ALT=\"a+=+600\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The student populations of the schools were<BR>\n" );
document.write( "1st: 600 and 2nd: 400<BR>\n" );
document.write( "check answer:<BR>\n" );
document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.1a+%2B+.9b%29+%2F+%28a+%2B+b%29+=+.42 ALIGN=MIDDLE  ALT=\"%28.1a+%2B+.9b%29+%2F+%28a+%2B+b%29+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.1%2A600+%2B+.9%2A400%29+%2F+1000+=+.42 ALIGN=MIDDLE  ALT=\"%28.1%2A600+%2B+.9%2A400%29+%2F+1000+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2860+%2B+360%29+%2F+1000+=+.42 ALIGN=MIDDLE  ALT=\"%2860+%2B+360%29+%2F+1000+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=420+%2F+1000+=+.42 ALIGN=MIDDLE  ALT=\"420+%2F+1000+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.42+=+.42 ALIGN=MIDDLE  ALT=\".42+=+.42\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );