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Use the tables to answer the question.

Community A
Number of Households Total Number of Children
10 26
20 52
40 104
75 195

Community B
Number of Households Total Number of Children
12 30
24 60
50 125
85 212.5
Based on the tables showing the average number of children per household for two different communities, which community has the most children if both neighborhoods have the same number of households? How many children live in this community if 1,000 households?

(1 point)
Responses

Community A has the most children. There are 260 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 2,500 children in this community if there are 1,000 households.
Community B has the most children. There are 2,500 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 212.5 children which is greater than the 195 in Community A.

Community A has the most children. There are 2,600 children in this community if there are 1,000 households.

1 answer

To determine which community has the most children per household and calculate the number of children in each community if there are 1,000 households, we first need to calculate the average number of children per household for both communities.

Community A:

  • 10 households: 26 children → 26 / 10 = 2.6 children per household
  • 20 households: 52 children → 52 / 20 = 2.6 children per household
  • 40 households: 104 children → 104 / 40 = 2.6 children per household
  • 75 households: 195 children → 195 / 75 = 2.6 children per household

Average number of children per household for Community A = 2.6

Community B:

  • 12 households: 30 children → 30 / 12 = 2.5 children per household
  • 24 households: 60 children → 60 / 24 = 2.5 children per household
  • 50 households: 125 children → 125 / 50 = 2.5 children per household
  • 85 households: 212.5 children → 212.5 / 85 = 2.5 children per household

Average number of children per household for Community B = 2.5

Now, if both communities had 1,000 households, the total number of children in each community would be:

Community A:

  • 1,000 households × 2.6 children/household = 2,600 children

Community B:

  • 1,000 households × 2.5 children/household = 2,500 children

Based on these calculations, Community A has the most children. There are 2,600 children in this community if there are 1,000 households. 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.