To determine which community has the most children when both have the same number of households, we first need to calculate the average number of children per household for each community.
For Community A:
- Total children for 10 households = 26
- Total children for 20 households = 52
- Total children for 40 households = 104
- Total children for 75 households = 195
Average number of children per household in Community A:
- For 10 households: 26 / 10 = 2.6
- For 20 households: 52 / 20 = 2.6
- For 40 households: 104 / 40 = 2.6
- For 75 households: 195 / 75 = 2.6
Average children per household for Community A is 2.6.
For Community B:
- Total children for 12 households = 30
- Total children for 24 households = 60
- Total children for 50 households = 125
- Total children for 85 households = 212.5
Average number of children per household in Community B:
- For 12 households: 30 / 12 = 2.5
- For 24 households: 60 / 24 = 2.5
- For 50 households: 125 / 50 = 2.5
- For 85 households: 212.5 / 85 ≈ 2.5
Average children per household for Community B is approximately 2.5.
Comparison:
- Community A has an average of 2.6 children/household.
- Community B has an average of 2.5 children/household.
Since Community A has a higher average number of children per household than Community B, Community A has more children.
Now, if we multiply the average number of children per household in Community A (2.6) by 1,000 households:
- Total children in Community A if there are 1,000 households = 2.6 * 1000 = 2600 children.
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.