document.write( "Question 1119465: Some adults attended a conference. 3/5 of the women and 5/9 of the men left after the conference and the rest stayed for refreshments. There was an equal number of women and men who stayed for the refreshments. If there were 304 adults at first, how many men attended the conference. \n" ); document.write( "

Algebra.Com's Answer #735041 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = the number of women who attended at first
\n" ); document.write( "Let $\"+b+\"$ = the number of men who attended at first
\n" ); document.write( "--------------------------------------------------
\n" ); document.write( "(1) $\"+a+%2B+b+=+304+\"$
\n" ); document.write( "(2) $\"+%282%2F5%29%2Aa+=+%284%2F9%29%2Ab+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "(1) $\"+b+=+304+-+a+\"$
\n" ); document.write( "(2) $\"+%282%2F5%29%2Aa+=+%284%2F9%29%2A%28+304+-+a+%29+\"$
\n" ); document.write( "Multiply both sides by $\"+5%2A9+=+45+\"$
\n" ); document.write( "(2) $\"+18a+=+20%2A%28+304+-+a+%29+\"$
\n" ); document.write( "(2) $\"+18a+=+6080+-+20a+\"$
\n" ); document.write( "(2) $\"+38a+=+6080+\"$
\n" ); document.write( "(2) $\"+a+=+160+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+b+=+304+-+160+\"$
\n" ); document.write( "(1) $\"+b+=+144+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "144 men attended at first \n" ); document.write( "

\n" );