Multistep Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.kimmi charges $25 per night no matter how many children a family has write a equation that compare the two girls also is the fees are the same how many children a family have to have in order to be the same

Respuesta :

n= night c= child
sandy= $10+$5c
kimmi= $25n
if sandy babysits 3 children for one night they will both be the same price
sandy= $10+5(3)=$25
kimmi= $25

Step-by-step explanation:

Consider the provided information.

Sandy charges each family that she babysits a flat fee of $10 for the night and an extra $5 per child.

Let x is the number of child, Sandy charges fixed fee of $10 and $5 for each child. Thus, the charges for one night is:

[tex]10+5x[/tex]

Kimmi charges $25 per night no matter how many children a family has. Thus, the charges for one night is:

[tex]25[/tex]

Now we need to write an equation that would compare the two girls charges:

[tex]10+5x=25[/tex]

Thus, the required equation is [tex]10+5x=25[/tex].

Now we need to find how many children a family have in order to be the same charges.

For the same charges solve the equation as shown:

[tex]10+5x=25[/tex]

[tex]5x=15[/tex]

[tex]x=3[/tex]

So, the number of children has to be 3 for same charge.