The problem requires us to find the total number of females below the poverty line in the states C and D, given their combined population is 20,000.
- Identify the percentage of the population below the poverty line in each state from the table. For State C, it is 14%, and for State D, it is 20%.
- Calculate the total number of people below the poverty line in both states:
- Population below poverty line in C = 14% of the population of C
- Population below poverty line in D = 20% of the population of D
- Use the given male-to-female ratios below the poverty line for each state:
- C has a male-to-female ratio of 3:4
- D has a male-to-female ratio of 5:2
- Given that the total population of C and D is 20,000, we need to express this:
Let x be the population of state C, then population of state D is 20,000 - x. - Calculate the number of females below the poverty line:
- From State C:
Females = \( \frac{4}{3+4} \times 0.14 \times x = \frac{4}{7} \times 0.14 \times x \) - From State D:
Females = \( \frac{2}{5+2} \times 0.20 \times (20,000-x) = \frac{2}{7} \times 0.20 \times (20,000-x) \)
- Combine these values to determine the total number of females from both states:
Total females = \( \frac{4}{7} \times 0.14 \times x + \frac{2}{7} \times 0.20 \times (20,000-x) \) - After solving this equation, no value matches the given options conclusively without the specific values for x, as they are not directly provided.
Therefore, none of the provided options (5000, 6000, 7200) accurately solve the problem based on the given method and steps.
The correct answer is: NOTA (None of the Above)