document.write( "Question 549880: Half the books you own are mysteries. One third are nonfiction. Theother four books are science fiction. How many of your books are mysteries? \n" ); document.write( "

Algebra.Com's Answer #358165 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"x\"$ = number of books you own
\n" ); document.write( "mysteries = $\"+x%2F2+\"$
\n" ); document.write( "nonfiction = $\"+x%2F3+\"$
\n" ); document.write( "S.F. = $\"+4+\"$
\n" ); document.write( "------------
\n" ); document.write( " $\"+x+=+x%2F2+%2B+x%2F3+%2B+4+\"$
\n" ); document.write( "Multiply both sides by $\"6\"$
\n" ); document.write( " $\"+6x+=+3x+%2B+2x+%2B+24+\"$
\n" ); document.write( " $\"+x+=+24+\"$
\n" ); document.write( " $\"+x%2F2+=+24%2F2+\"$
\n" ); document.write( " $\"+x%2F2+=+12+\"$
\n" ); document.write( "12 of the books are mysteries
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+x+=+x%2F2+%2B+x%2F3+%2B+4+\"$
\n" ); document.write( " $\"+24+=+12+%2B+8+%2B+4+\"$
\n" ); document.write( " $\"+24+=+24+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );