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.

4 answers

48 / 3 = 16
16 * 4 = 64
48 / 4 = 12
12 * 5 = 60
60 + 64 + 48 = 172
4:3 = 64:48
4:5 = 64:80
equating the 48's you get
64:48:80
Now add them up
48 / 3 = 16
16 * 4 = 64
48 / 4 = 12
12 * 5 = 60
60 + 64 + 48 = 172
172