Given data:
The given registration fees for preschool A is c=$40.00.
The given attendence fees for preschool A is a=$5.00/day.
The given attendence fees for preschool B is b=$7.50/day.
The total fees for school A is,
[tex]S_A=40+5x[/tex]The total fees for school B is,
[tex]S_B=7.5x[/tex]The cost of both preschool is same.
[tex]\begin{gathered} (40+5x)=7.5x \\ 40=2.5x \\ x=16 \end{gathered}[/tex]Thus, the option (C) is correct.