Let x be the initial amount of cookies.
On Tuesday, it only remains x/2 of the initial cookies.
On Wednesday, (x/2)-3
And on Tuesday, ((x/2)-3)-2
On Friday, she only had 7 cookies left; this means that
[tex]((\frac{x}{2})-3)-2=7[/tex]Solving for x
[tex]\begin{gathered} ((\frac{x}{2})-3)-2=\frac{x}{2}-5 \\ \Rightarrow\frac{x}{2}-5=7 \\ \Rightarrow\frac{x}{2}=7+5=12 \\ \Rightarrow x=24 \end{gathered}[/tex]Therefore, she baked 24 cookies on Monday
