document.write( "Question 349037: Last year a small college accepted 363 students out
\n" ); document.write( "of the 1340 people that applied. If the college
\n" ); document.write( "accepted 30% of the female applicants and 25% of
\n" ); document.write( "the male applicants, how many women applied? \n" ); document.write( "

Algebra.Com's Answer #249490 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"m\"$ = number of men that applied
\n" ); document.write( "Let $\"w\"$ = number of women that applied
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"m+%2B+w+=+1340\"$
\n" ); document.write( " $\".25m+%2B+.3w+=+363\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"25m+%2B+30w+=+36300\"$
\n" ); document.write( "Multiply both sides of (1) by
\n" ); document.write( " $\"25\"$ and subtract from (2)
\n" ); document.write( "(2) $\"25m+%2B+30w+=+36300\"$
\n" ); document.write( "(1) $\"-25m+-+25w+=+-33500\"$
\n" ); document.write( " $\"5w+=+2800\"$
\n" ); document.write( " $\"w+=+560\"$
\n" ); document.write( " $\"m+=+1340+-+560\"$
\n" ); document.write( " $\"m+=+780\"$
\n" ); document.write( "560 applicants were women
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "

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