In the Finn family each girl has the same number of brothers as sisters. Each boy has twice as many sisters as brothers. How many children are in the family?
four boys and three girls in this family.
Five
No I think three, two girls one boy.
Susie has on brother one sister the boy has no brothers but has two sisters
To find out how many children are in the Finn family, we need to analyze the given information about the number of brothers and sisters for each child. Let's break down the problem step by step.
Let's assume there are 'g' girls and 'b' boys in the family. Now, according to the problem:
- Each girl has the same number of brothers as sisters. This means that each girl has 'g - 1' sisters (excluding herself) and 'g - 1' brothers.
- Each boy has twice as many sisters as brothers. This means that each boy has '2(b - 1)' sisters and 'b - 1' brothers.
To determine the number of children in the family, we need to equate the number of brothers and sisters for both girls and boys.
For girls:
Number of brothers = Number of sisters
So, g - 1 = g - 1
For boys:
Number of sisters = 2 * Number of brothers
So, 2(b - 1) = b - 1
Now, we can solve these equations to find the values of 'g' and 'b'.
From the first equation, we can see that 'g' cancels out, leaving us with 1 on both sides. This means that the number of girls 'g' could be any positive integer.
From the second equation, we can simplify it:
2(b - 1) = b - 1
2b - 2 = b - 1
b = 1
So, we have 'b = 1', which implies there is only one boy in the family.
To calculate the total number of children, we add the number of girls ('g') and the number of boys ('b') together:
Total number of children = g + b
Total number of children = g + 1
Since 'g' can be any positive integer, we can't determine a specific number of children in the family. However, we can say that the family consists of one boy and any number of girls.