First we can write an equation for the total cost she is being charged so:
[tex]y=24+0.07t[/tex]Where y is the total charge and t are the number of minutes, now we can replace y=112.55 to find how many minutes she spend so:
[tex]\begin{gathered} 112.55=24+0.07t \\ 0.07t=112.55-24 \\ t=\frac{88.55}{0.07} \\ t=1265 \end{gathered}[/tex]