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)
Community B has the most children if both neighborhoods have the same number of households.
To find the number of children in Community B if there are 1,000 households, we can use the ratios from the table.
In Community B, the ratio of households to children is 24:60 or 1:2.5.
So, for every 1 household, there are 2.5 children.
If there are 1,000 households, we can multiply this ratio by 1,000 to find the number of children:
2.5 x 1,000 = 2,500 children.
Therefore, if there are 1,000 households in Community B, there would be 2,500 children.
To find out which community has the most children if both neighborhoods have the same number of households, we need to compare the average number of children per household for each community.
For Community A:
- For 10 households, there are 26 children, so the average number of children per household is 26/10 = 2.6.
- For 20 households, there are 52 children, so the average number of children per household is 52/20 = 2.6.
- For 40 households, there are 104 children, so the average number of children per household is 104/40 = 2.6.
- For 75 households, there are 195 children, so the average number of children per household is 195/75 = 2.6.
So, the average number of children per household in Community A is 2.6.
For Community B:
- For 12 households, there are 30 children, so the average number of children per household is 30/12 = 2.5.
- For 24 households, there are 60 children, so the average number of children per household is 60/24 = 2.5.
- For 50 households, there are 125 children, so the average number of children per household is 125/50 = 2.5.
- For 85 households, there are 212.5 children, so the average number of children per household is 212.5/85 = 2.5.
So, the average number of children per household in Community B is 2.5.
Since 2.6 is greater than 2.5, Community A has the most children if both neighborhoods have the same number of households.
Now, to find out how many children live in Community A if there are 1,000 households, we can use the average number of children per household.
For Community A, the average number of children per household is 2.6. So, if there are 1,000 households, the number of children in Community A would be 2.6 * 1000 = 2600.
Therefore, if there are 1,000 households, the number of children living in Community A is 2,600.
To answer the first part of the question, we need to calculate the average number of children per household for each community.
For Community A:
- In the first row, there are 10 households with a total of 26 children. So, the average number of children per household is 26/10 = 2.6.
- In the second row, there are 20 households with a total of 52 children. So, the average number of children per household is 52/20 = 2.6.
- In the third row, there are 40 households with a total of 104 children. So, the average number of children per household is 104/40 = 2.6.
- In the fourth row, there are 75 households with a total of 195 children. So, the average number of children per household is 195/75 = 2.6.
Therefore, the average number of children per household in Community A is 2.6.
For Community B:
- In the first row, there are 12 households with a total of 30 children. So, the average number of children per household is 30/12 = 2.5.
- In the second row, there are 24 households with a total of 60 children. So, the average number of children per household is 60/24 = 2.5.
- In the third row, there are 50 households with a total of 125 children. So, the average number of children per household is 125/50 = 2.5.
- In the fourth row, there are 85 households with a total of 212.5 children. So, the average number of children per household is 212.5/85 = 2.5.
Therefore, the average number of children per household in Community B is 2.5.
Now, to answer the second part of the question, we can compare the average number of children per household in both communities to determine which community has the most children if both neighborhoods have the same number of households. Since the average number of children per household is higher in Community A (2.6) compared to Community B (2.5), we can conclude that Community A has more children if both neighborhoods have the same number of households.
To determine how many children live in Community A if there are 1,000 households, we can use the average number of children per household (2.6) and multiply it by the number of households (1,000).
Number of children in Community A = Average number of children per household * Number of households
Number of children in Community A = 2.6 * 1,000
Number of children in Community A = 2,600
Therefore, if there are 1,000 households in Community A, there would be 2,600 children living in that community.