Travis is deciding how many nonfiction books, novels, and cookbooks to sell at a book fair. he wants the ratio of nonfiction books to novels to be 3: 2. he wants the ratio of novels to cookbooks to be 3: 1. using these ratios, match the number of books required given one number of a different type of book.
18 to 4 8 or 9
8 to 3 or 4
2 to 6 9 or 12

Nonfiction books to novels 3:2
novels to cookbooks: 3:1

If cookbook is 1 then novels is 3.
If novels is 3 then nonfiction books is 4.50

3:2 = x:3
3*3 = 2x
9 = 2x
9/2 = x
4.5 = x

nonfiction books : novels : cookbooks ⇒ 4.5:3:1

If cookbook is 2 then novel is 6
If novel is 6 then non fiction is 9

nonfiction books:novels:cookbooks ⇒ 9:6:2

nonfiction to novel : 3:2 = 9:6
                               3*6 = 2*9
                                 18 = 18

novel to cookbook: 3:1 = 6:2
                              3*2 = 1*6
                                 6 = 6