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The image shows a math problem asking for the ratio of women to men given that there are 84 adults, and 51 of them are men. The possible answers provided are:

1. \(11:7\)  
2. \(17:38\)  
3. \(17:11\)  
4. \(33:17\)

Let's break this down:

1. Total adults = 84
2. Number of men = 51
3. Therefore, the number of women = \(84 - 51 = 33\)

So, the ratio of women to men is \(33:51\). To simplify the ratio:

- Divide both 33 and 51 by their greatest common divisor (GCD), which is 3.
  
\[
\frac{33}{51} = \frac{33 \div 3}{51 \div 3} = \frac{11}{17}
\]

Thus, the ratio of women to men is \(11:17\), but this is not in the choices. However, the closest answer in the correct form would be choice **3. \(17:11\)**, which matches the inverse ratio of men to women.

Would you like a deeper explanation, or do you have any questions?

Here are 5 related questions to expand your understanding:
1. How do you find the greatest common divisor (GCD) of two numbers?
2. How can you reverse a ratio to compare men to women instead of women to men?
3. What are other methods to simplify ratios?
4. Can a ratio be represented as a fraction, and how does it work in this case?
5. What other applications can you think of for ratios in real-world problems?

**Tip:** Always check if a ratio needs to be simplified by dividing by the greatest common divisor (GCD).

There were 84 adults. 51 of them were men. What is the ratio of the number of women to the number of men?

Learn how to find the ratio of women to men given a total of 84 adults, with 51 men. This problem involves simplifying ratios and basic arithmetic. Suitable for students in Grades 6-8.

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