Books: Over the summer, you read 20 books. Eight of these books were biographies.

a. Find the ratio of biographies to the total number of books.
b. Find the ratio of non-biographies to biographies.
c. Find the ratio of non-biographies to the total number of books.

a. 8/20 = 2:5

b. 12/8 = 3:2
c. 12/20 = 3:5

8/20

8:12

12"20

12"21

To solve these problems, we need to use ratios. A ratio is a comparison of two or more quantities. In this case, we will compare the number of biographies to the total number of books, the number of non-biographies to the number of biographies, and the number of non-biographies to the total number of books.

a. To find the ratio of biographies to the total number of books, we divide the number of biographies (8) by the total number of books (20):
Ratio of biographies to the total number of books = 8/20

b. To find the ratio of non-biographies to biographies, we subtract the number of biographies (8) from the total number of books (20) to find the number of non-biographies (20 - 8 = 12):
Ratio of non-biographies to biographies = 12/8

c. To find the ratio of non-biographies to the total number of books, we divide the number of non-biographies (12) by the total number of books (20):
Ratio of non-biographies to the total number of books = 12/20

Simplifying these ratios, we get:
a. 8/20 = 2/5
b. 12/8 = 3/2
c. 12/20 = 3/5

So the ratios are:
a. 2/5
b. 3/2
c. 3/5