Question

A bookstore sells cookbooks, novels and reference books. The ratio of the number of

cookbooks to the number of novels is 2:11. The ratio of the number of cookbooks to
the number of reference books is 3: 4. What is the ratio of the number of cookbooks
to the number of novels to the number of reference books at the bookstore?

Answer 1

Explanation:

cookbooks : novels

2 : 11

So 6 : 33

cookbooks : reference books

3 : 4

So 6 : 8

novels : cookbooks : reference books

33 : 6 : 8

Answer 2

6 : 33 : 8

Explanation:

cookbook = C

novel = N

reference book = R

C : N = 2 : 11

C : R = 3 : 4

C : N : R = ?

Start with C : N = 2 : 11

2 is not divisible by 2, so multiply this ratio by 3.

C : N = 6 : 33

C : R = 3 : 4 multiply by 2 to get

C : R = 6 : 8

C : N : R = 6 : 33 : 8