Answer:
![3.75x\leq 20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/acf2bh6v0vw92m28h1jg7edor137lqgoni.png)
5 packs of paper.
Explanation:
Let x be the number of packs of paper.
We have been given that a pack of paper costs $3.75 including tax. The price of x paper packs would be
.
Since Mr. Cooper has a $20 budget, so the cost of x paper pack should be lees than or equal to 20.
We can represent this information in an inequality as:
![3.75x\leq 20](https://img.qammunity.org/2019/formulas/mathematics/middle-school/acf2bh6v0vw92m28h1jg7edor137lqgoni.png)
![(3.75x)/(3.75)\leq (20)/(3.75)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/9j4zs06auj49dfntpoa348eyv5oagz22fb.png)
![x\leq 5.333](https://img.qammunity.org/2019/formulas/mathematics/middle-school/jo0q3rin95k0gywkud5v2cl8saufj9wr4n.png)
Since we can purchase whole number of paper packs, therefore, Mr. Cooper can purchase 5 packs of paper with his budget.