Answer:
25 or less cups.
Explanation:
Let x represent the number of cups.
We have been given that a teacher buys a 128-ounce bottle of juice and serves it in 5-ounce cups.
The amount used to fill x cups would be
.
The total amount used to fill x cups will be less than or equal to 128.
We can represent this information in an inequality as:
![5x\leq 128](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7c6wpjudmex17ilt4bgoz31uap9e9uzrfm.png)
![(5x)/(5)\leq (128)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fxjoeyhhcn2auet656ma8kimbkasjj3mug.png)
![x\leq 25.6](https://img.qammunity.org/2020/formulas/mathematics/middle-school/fwkkwuns8vwo4bpn4dp288vre7t4vs2nr5.png)
Since the nearest whole number to 25.6 is 25, therefore, teacher can fill 25 or less cups.