Community A

Number of households: 10, 20, 40, 75
Total number of children: 26, 52, 104, 195

Community B
Number of households: 12, 24, 50, 85
Total number of children: 30, 60, 125, 212.5

Based on the tables showing the average number of children per household for two different communities, which community has the most children of both neighborhoods have the same number of households? How many children live in this community if 1,000 households?
Options:
Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
Community A has the most children. There are 260 children in this community if there are 1,000 households.
Community B has the most children. There are 212.5 children which is greater than the 195 in community A.
Community B has the most children. There are 2,500 children in this community if there are 1,000 households

1 answer

To determine which community has the most children if both neighborhoods have the same number of households, we can calculate the average number of children per household for each community.

For Community A:
Number of households: 10, 20, 40, 75
Total number of children: 26, 52, 104, 195

Average number of children per household in Community A:
Average = Total number of children / Number of households
Average = (26 + 52 + 104 + 195) / (10 + 20 + 40 + 75)
Average = 377 / 145
Average ≈ 2.60 children per household

For Community B:
Number of households: 12, 24, 50, 85
Total number of children: 30, 60, 125, 212.5

Average number of children per household in Community B:
Average = Total number of children / Number of households
Average = (30 + 60 + 125 + 212.5) /(12 + 24 + 50 + 85)
Average = 427.5 / 171
Average ≈ 2.50 children per household

Comparing the averages, we can conclude that Community A has a higher average number of children per household. This means that if there are 1,000 households, Community A would have more children than Community B.

To calculate the number of children in Community A if there are 1,000 households:
Number of children = Average number of children per household × Number of households
Number of children = 2.60 × 1,000
Number of children = 2,600

Therefore, the correct option 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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