To determine which community has the most children per household and calculate how many children would be in each community if there were 1,000 households, we first need to calculate the average number of children per household for each community.
Community A:
- \( \text{Average for 10 households} = \frac{26}{10} = 2.6 \)
- \( \text{Average for 20 households} = \frac{52}{20} = 2.6 \)
- \( \text{Average for 40 households} = \frac{104}{40} = 2.6 \)
- \( \text{Average for 75 households} = \frac{195}{75} = 2.6 \)
The average number of children per household in Community A is consistently 2.6.
Community B:
- \( \text{Average for 12 households} = \frac{30}{12} = 2.5 \)
- \( \text{Average for 24 households} = \frac{60}{24} = 2.5 \)
- \( \text{Average for 50 households} = \frac{125}{50} = 2.5 \)
- \( \text{Average for 85 households} = \frac{212.5}{85} \approx 2.5 \)
The average number of children per household in Community B is approximately 2.5.
Comparison of Communities:
- Community A: 2.6 children per household
- Community B: 2.5 children per household
Since Community A has a higher average number of children per household, it has more children overall.
Calculating total children for 1,000 households:
- For Community A: \[ 1,000 \times 2.6 = 2,600 , \text{children} \]
Thus, the correct response is: Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
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