Question

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

Answer 1

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