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:
![10+5x](https://tex.z-dn.net/?f=10%2B5x)
Kimmi charges $25 per night no matter how many children a family has. Thus, the charges for one night is:
![25](https://tex.z-dn.net/?f=25)
Now we need to write an equation that would compare the two girls charges:
![10+5x=25](https://tex.z-dn.net/?f=10%2B5x%3D25)
Thus, the required equation is
.
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:
![10+5x=25](https://tex.z-dn.net/?f=10%2B5x%3D25)
![5x=15](https://tex.z-dn.net/?f=5x%3D15)
![x=3](https://tex.z-dn.net/?f=x%3D3)
So, the number of children has to be 3 for same charge.