To find the ratio of the number of women to the number of men:

1. The total number of adults is 84.
2. The number of men is 51.
3. The number of women is: $\text{Number of women} = 84 - 51 = 33$
4. The ratio of the number of women to the number of men is: $\text{Ratio} = \frac{33}{51}$
5. Simplifying the ratio: $\frac{33}{51} = \frac{11}{17}$

Thus, the ratio of the number of women to the number of men is $\frac{11}{17}$.

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What is the ratio of the number of men to the total number of adults?
2. What is the ratio of the number of women to the total number of adults?
3. If there were 100 adults, how many men and women would there be in the same ratio?
4. What percentage of the adults were women?
5. How would the ratio change if 10 more women joined the group?

Tip: Always simplify ratios by finding the greatest common divisor of the two numbers involved!