document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=503671>Question 503671</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At the north campus of a college, 10% of students are music majors. At the south campus 90% of the students are music majors. Both campuses are merged into one east campus. If 42%of the 1000 students are music majors, how many students did each of the north and south campuses have before the merger. \r<BR>\n" );
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document.write( "I tried 42%of 1000 = 420 but can't figure how to get the number of students. Help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #339350 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339350\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> m = percentage of music majors<BR>\n" );
document.write( "s = total students in south campus<BR>\n" );
document.write( "n = total students on north campus<BR>\n" );
document.write( "s+n = 1000<BR>\n" );
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document.write( "so<BR>\n" );
document.write( "n = 1000-s<BR>\n" );
document.write( "s = 1000-n<BR>\n" );
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document.write( ".10n = number of music majors on north campus<BR>\n" );
document.write( ".90s = number of students in south campus<BR>\n" );
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document.write( "420 of 1000 total students are music majors<BR>\n" );
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document.write( ".1n + .9s = 420<BR>\n" );
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document.write( "substitute for s = 1000-n<BR>\n" );
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document.write( ".1n + .9(1000-n) = 420<BR>\n" );
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document.write( "multiply by 10 to remove decimals<BR>\n" );
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document.write( "n + 9(1000-n) = 4200<BR>\n" );
document.write( "n + 9000 -9n = 4200<BR>\n" );
document.write( "-8n = -4800<BR>\n" );
document.write( "n = 600<BR>\n" );
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document.write( "s = 1000-s<BR>\n" );
document.write( "s = 400<BR>\n" );
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document.write( "Always check your work.<BR>\n" );
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document.write( ".10n = .1(600) = 60<BR>\n" );
document.write( ".90s = .9(400) = 360<BR>\n" );
document.write( "60+360 = 420<BR>\n" );
document.write( "Correct.<BR>\n" );
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document.write( "Re-read the question to make sure you answer it.<BR>\n" );
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document.write( "Answer:  the north campus had 600 students, and the south campus had 400 students.<BR>\n" );
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document.write( "Done.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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