Monday

December 22, 2014

December 22, 2014

Posted by **Nina** on Saturday, April 17, 2010 at 11:21pm.

- Mathematicas -
**tchrwill**, Sunday, April 18, 2010 at 10:19amHere is a similar version of this popular problem which should give you some clues as to how to approach yous.

In a family of children,

1) each girl has as many bothers as sisters but

2) each boy has 3 times as many sisters as brothers.

How many children are in the family?

Let g = the number of girls

Let b = the number of boys

1--Looking at the girls only, it is clear that each girl has one less as many sisters as there are girls in the first place.

2--Therefore, we can write that each girl has (g - 1) sisters.

3--From statement #1, if each girl has as many brothers as sisters, we can write that (g - 1) = b.

4--Similarly, we know that each boy has (b - 1) brothers and g sisters.

5--From statement #2, if each boy has 3 times as many sisters as brothers, we can write that g = 3(b - 1) = 3b - 3.

6--Substituting (5) into (3) yields 3b - 3 - 1 = b.

7--Then, 2b = 4 making b = 2 and g = 3.

Good luck.

**Answer this Question**

**Related Questions**

Mathematicas - Sam and Susie are twins. Sam has as many brothers as he has ...

algebra II - A boy says "i have as many brothers as i do sisters." His sister ...

Calculus - Harry has 3 sisters amd 5 brothers. His sister Harriet has a S ...

math word problems - In the Finn family each girl has the same number of ...

5th grade math - In the Finn family each girl has the same number of brothers as...

5th grade math - In the Finn family each girl has the same number of brothers as...

math - In the Finn family each girl has the same number of brothers as sisters. ...

BRAINMATH - BobPursley has 3 more brothers than sisters, how many more brothers ...

Algebra - Each of my sons has as many brothers as sisters, but each of my ...

maths - Mr. George has some children. Each of his sons has the same number of ...