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?

A. Community A has the most children. There are 2,600 children in this community if there are 1,000 households.
B. Community B has the most children. There are 212.5 children which is greater than the 195 in Community A.
C. Community B has the most children. There are 2,500 children in this community if there are 1,000 households
D. Community A has the most children. There are 260 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 need to calculate the average number of children per household for each community.

For Community A:
Average number of children per household = total number of children / number of households
Average number of children per household = 26 / 10 = 2.6 children
Average number of children per household = 52 / 20 = 2.6 children
Average number of children per household = 104 / 40 = 2.6 children
Average number of children per household = 195 / 75 = 2.6 children

For Community B:
Average number of children per household = total number of children / number of households
Average number of children per household = 30 / 12 = 2.5 children
Average number of children per household = 60 / 24 = 2.5 children
Average number of children per household = 125 / 50 = 2.5 children
Average number of children per household = 212.5 / 85 = 2.5 children

Based on the average number of children per household, both communities have the same number of children if both neighborhoods have the same number of households. Therefore, the statement "Community A has the most children" is incorrect.

To determine how many children live in the community if there are 1,000 households, we can multiply the average number of children per household by 1,000.

For Community B:
Number of children = average number of children per household * number of households
Number of children = 2.5 * 1,000 = 2,500

Therefore, the correct answer is C. Community B has the most children. There are 2,500 children in this community if there are 1,000 households.
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