SOLUTION: Half the books you own are mysteries. One third are nonfiction. Theother four books are science fiction. How many of your books are mysteries?

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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?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of books you own
mysteries = +x%2F2+
nonfiction = +x%2F3+
S.F. = +4+
------------
+x+=+x%2F2+%2B+x%2F3+%2B+4+
Multiply both sides by 6
+6x+=+3x+%2B+2x+%2B+24+
+x+=+24+
+x%2F2+=+24%2F2+
+x%2F2+=+12+
12 of the books are mysteries
check answer:
+x+=+x%2F2+%2B+x%2F3+%2B+4+
+24+=+12+%2B+8+%2B+4+
+24+=+24+
OK