The ratio of the number of mystery books to the number of science fiction books is 4 : 3. The ratio of the number of science fiction books to the number of biographies is 4 : 5. If there are 48 science fiction books, find the total number of books.



Answer :


                         4:3
     Mystery Books:Science Fiction Books(48)

                  48 divided by 3 = 16
                  16 multiplied by 4= 64
There are 64 Mystery Books.

                          4:5
 Science Books(48):Biographies

                   48 divided by 4 = 12
                   12 multiplied by 5 = 60
The are 60 Biographies

 Mystery Books               64
 Science Fiction books     48
 Biographies                  +60
                                     ------
                                     172

I hope that helped!