document.write( "Question 831403: The north campus of a school has 20% music majors. The south campus has 90% music majors. The campuses are merged into one east campus. The east campus has 1000 students and 48% of those are music majors. How many students did the north campus and south campus each have before the merger? \n" ); document.write( "
Algebra.Com's Answer #501323 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The north campus of a school has 20% music majors. The south campus has 90% music majors. The campuses are merged into one east campus. The east campus has 1000 students and 48% of those are music majors. How many students did the north campus and south campus each have before the merger?
\n" ); document.write( "--------
\n" ); document.write( "Equations:
\n" ); document.write( "n + s = 1000 students
\n" ); document.write( "0.20n + 0.90s = 0.48*1000 music majors
\n" ); document.write( "-------
\n" ); document.write( "Modify:
\n" ); document.write( "20n + 20s = 20000
\n" ); document.write( "20n + 90s = 48000
\n" ); document.write( "--------
\n" ); document.write( "Subtract and solve for \"s\";
\n" ); document.write( "70s = 28000
\n" ); document.write( "s = 400 (# of music majors in south)
\n" ); document.write( "----
\n" ); document.write( "n = 1000-400 = 600 (# of music majors in north)
\n" ); document.write( "-------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "------------------ \n" ); document.write( "
\n" );