document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184467>Question 184467</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A school district is combining 2 schools that will have a total of 1000 students, 42% of whom are african american. 90% of one school is african american and 10% of the other is african american. How may students are in each school. <BR>\n" );
document.write( "I've tried solving it several different ways x/2 + 420 = 1000 and x + y - 420 = 1000 for example and just can't figure this out! Please help - thank you very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138466 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "If 42% of the new school is african-american, then out of the 1000 students at the new school, 420 are african-american.\r<BR>\n" );
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document.write( "If <i>x</i> represents the number of students at one school and <i>y</i> represents the number of students at the second school.  We can establish three things:\r<BR>\n" );
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document.write( "1.  The sum of the students from the 2 schools must equal 1000:\r<BR>\n" );
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document.write( "(1) <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ \ \ \ \ \ \ \ \ \ \ x + y = 1000\">\r<BR>\n" );
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document.write( "2. 90% of the first school is african-american, so you can say the number of african american students at school 1 is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ \ \ \ \ \ \ \ \ \ \ 0.9x\">\r<BR>\n" );
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document.write( "3. Likewise, the number of african american students at the second school is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ \ \ \ \ \ \ \ \ \ \ 0.1y\">\r<BR>\n" );
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document.write( "And we know that 420 is the sum of the african-americans at both schools, so:\r<BR>\n" );
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document.write( "(2) <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \ \ \ \ \ \ \ \ \ \ \ 0.9x + 0.1y = 420\">\r<BR>\n" );
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document.write( "Now (1) and (2) form a system of linear equations that can be solved by either substitution or elimination.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large e^{i \pi} + 1 = 0\"><BR>\n" );
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