ANSWER
![40\text{ cookies}](https://img.qammunity.org/2023/formulas/mathematics/college/wv03byqmqdpa2goe3bwtw6lzeberpml91t.png)
Step-by-step 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:
![\begin{gathered} 3s=24c \\ 5s=x \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/t6zdgzesrtcbf4bkmkthyitr9z4l7d17at.png)
Now, cross-multiply:
![\begin{gathered} 3\cdot x=24\cdot5 \\ \Rightarrow x=(24\cdot5)/(3) \\ x=40\text{ cookies} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/brd4osj2wdwrrsy77sf0eqdkncfs6riw0b.png)
That is the number of cookies that can be made.