Let's first calculate the average number of children per household for both communities based on the provided data:
Community A:
- For 10 households: 26 children → Average = 26 / 10 = 2.6
- For 20 households: 52 children → Average = 52 / 20 = 2.6
- For 40 households: 104 children → Average = 104 / 40 = 2.6
- For 75 households: 195 children → Average = 195 / 75 = 2.6
Average number of children per household in Community A = 2.6
Community B:
- For 12 households: 30 children → Average = 30 / 12 = 2.5
- For 24 households: 60 children → Average = 60 / 24 = 2.5
- For 50 households: 125 children → Average = 125 / 50 = 2.5
- For 85 households: 212.5 children → Average = 212.5 / 85 = 2.5
Average number of children per household in Community B = 2.5
Now, to determine which community has more children if both have the same number of households (1,000 in this case):
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For Community A:
- Number of children in 1,000 households = 2.6 children/household * 1000 households = 2600 children.
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For Community B:
- Number of children in 1,000 households = 2.5 children/household * 1000 households = 2500 children.
Therefore, Community A has the most children. If there are 1,000 households, there would be 2,600 children in Community A.
The correct response is:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.