To determine which community has the most children based on the average number of children per household and to calculate how many children would live in that community if there were 1,000 households, we first analyze the data provided:
Community A:
- Average number of children per household:
- For 10 households: 26 children → 26/10 = 2.6 children per household
- For 20 households: 52 children → 52/20 = 2.6 children per household
- For 40 households: 104 children → 104/40 = 2.6 children per household
- For 75 households: 195 children → 195/75 = 2.6 children per household
Average number of children per household in Community A: 2.6
Community B:
- Average number of children per household:
- For 12 households: 30 children → 30/12 = 2.5 children per household
- For 24 households: 60 children → 60/24 = 2.5 children per household
- For 50 households: 125 children → 125/50 = 2.5 children per household
- For 85 households: 212.5 children → 212.5/85 ≈ 2.5 children per household
Average number of children per household in Community B: 2.5
Conclusion:
- Community A has an average of 2.6 children per household.
- Community B has an average of 2.5 children per household.
This indicates that Community A has the most children when considering the average number of children per household.
Calculating Total Children for 1,000 Households:
- For Community A: \[ 2.6 \text{ children/household} \times 1000 \text{ households} = 2600 \text{ children} \]
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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