ANSWER
[tex]40\text{ cookies}[/tex]EXPLANATION
We want to find the number of cookies that can be made with 5 sticks.
To solve this, we have to apply proportions. Let the number of cookies that can be made be x.
We have that:
[tex]\begin{gathered} 3s=24c \\ 5s=x \end{gathered}[/tex]Now, cross-multiply:
[tex]\begin{gathered} 3\cdot x=24\cdot5 \\ \Rightarrow x=\frac{24\cdot5}{3} \\ x=40\text{ cookies} \end{gathered}[/tex]That is the number of cookies that can be made.