Final answer:
By defining W as the number of women, M as the number of men, and C as the number of children, and using the given population equations, we find that there are 2,789 women, 3,085 men, and 5,678 children in Gtangetown. However, this answer does not match the provided choices, indicating a potential error in the question or choices given.
Step-by-step explanation:
To determine the number of women, men, and children in Gtangetown, we will use a system of linear equations based on the provided populations.
Let's define the variables:
- W = Number of women
- M = Number of men
- C = Number of children
We are given that:
- The total population: W + M + C = 11,552
- Men and Children together: M + C = 8,763
- Men and Women together: M + W = 5,874
Now, let's solve for the number of women (W):
- Subtract equation (3) from equation (1): (W + M + C) - (M + W) = 11,552 - 5,874
- C = 11,552 - 5,874
- C = 5,678
To find the number of men (M), subtract the number of children (C) from equation (2):
- M + C - C = 8,763 - 5,678
- M = 3,085
Lastly, to find the number of women (W), subtract M from equation (3):
- M + W - M = 5,874 - 3,085
- W = 2,789
Therefore, the number of women is 2,789, the number of men is 3,085, and the number of children is 5,678. There appears to be a discrepancy with the provided multiple-choice answers as none of them match these calculations. It's important to double-check the given figures for accuracy.