Math Problem Statement

If the ratio of women to men in a certain industry is 5:4, how many people are in that industry?

Solution

The information provided states the ratio of women to men in the industry is 5:45:4, but it does not give the total number of people or a specific count of either women or men. Without additional information, the total number of people cannot be determined precisely.

However, we can deduce the following:

  • The total number of people in the industry must be divisible by 5+4=95 + 4 = 9, as the total comes from summing the parts of the ratio.

If you know either the total number of people, the number of women, or the number of men, please provide it, and I can calculate the others based on the ratio.

Would you like to clarify or provide more details? 😊


Follow-up Questions

  1. What is the total number of people in the industry?
  2. How many women are in the industry?
  3. How many men are in the industry?
  4. Could the number of people involved be divisible by a specific factor, e.g., 9?
  5. What is the real-world significance of this ratio in the industry?

Tip:

Ratios provide relationships, not actual counts. To find exact values, pair ratios with additional data (e.g., totals or one part of the ratio).

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Math Problem Analysis

Mathematical Concepts

Ratios
Proportions

Formulas

Total people = 5x + 4x = 9x (where x is the multiplier)

Theorems

Ratios represent a relationship between quantities

Suitable Grade Level

Grades 6-8