Wabbitbat265idn
Answered

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In a certain family, a boy has as many sisters as he has brothers; however, each sister has only one-half as many sisters as brothers. How many brothers and sisters are there in this family?

Sagot :

Mlcparra16idn
Since for a boy he has an equal number of brothers and sisters the number of boys is x+1 while there are x girls

The number of sisters for a girl is equal to half the number of boys so the number of boys is y and the number of girls is (y/2)+1.

[tex](x+1)+x=y+ \frac{y}{2} +1 \\ 2x= \frac{3y}{2} \\ x= \frac{3y}{4} [/tex]

The LHS is the total number of children for the boy and the RHS is the total number of children for the girl.

We substitute the value of x to y

[tex] \frac{3y}{4} +1=y \\ 3y+4=4y \\ 4=y[/tex]

Since the number of boys is 4 the number of girls is [tex] \frac{4}{2} +1=2+1=3[/tex].


Poriidn
3 brothers and sisters are there in this family.
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