To determine which community has more children per household and how many children would live in each community if there were 1,000 households, we'll first calculate the average number of children per household for both communities based on the given 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
Overall average for Community A = 2.6 children per household.
If there are 1,000 households:
- Total children = 2.6 * 1,000 = 2,600 children.
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
Overall average for Community B = 2.5 children per household.
If there are 1,000 households:
- Total children = 2.5 * 1,000 = 2,500 children.
Comparison:
- Community A: 2,600 children (for 1,000 households)
- Community B: 2,500 children (for 1,000 households)
Conclusion: Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
So the correct response is: "Community A has the most children. There are 2,600 children in this community if there are 1,000 households."