document.write( "Question 956199: An equal number of boys and girls attended a birthday party. When 16 girls left, there were 5 times as many boys as girls. How many girls attended the birthday party at first? \n" ); document.write( "

Algebra.Com's Answer #584180 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+b+\"$ = number of boys and
\n" ); document.write( " $\"+g+\"$ = number of girls
\n" ); document.write( "------------------------
\n" ); document.write( "At the start,
\n" ); document.write( " $\"+b+=+g+\"$
\n" ); document.write( "-------------
\n" ); document.write( "After $\"+16+\"$ girls leave,
\n" ); document.write( " $\"+b+=+5%2A%28+g+-+16+%29+\"$
\n" ); document.write( "----------------------
\n" ); document.write( " $\"+b+=+5g+-+80+\"$
\n" ); document.write( " $\"+5g+-+b+=+80+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Since $\"+b+=+g+\"$
\n" ); document.write( " $\"+5b+-+b+=+80+\"$
\n" ); document.write( " $\"+4b+=+80+\"$
\n" ); document.write( " $\"+b+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+g+=+20+\"$
\n" ); document.write( "------------
\n" ); document.write( "20 girls attended at first
\n" ); document.write( "----------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+b+=+5%2A%28+g+-+16+%29+\"$
\n" ); document.write( " $\"+20+=+5%2A%28+20+-+16+%29+\"$
\n" ); document.write( " $\"+20+=+5%2A4+\"$
\n" ); document.write( " $\"+20+=+20+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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