The inequality that could represent the possible values for the number of student tickets sold, s, and the number of adult tickets sold, a is:
![s + a\leq 100](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i2pt0r66ufwqzur3f4j5carihdw2e1w2xs.png)
Solution:
Let "s" be the number of student tickets sold
Let "a" be the number of adult tickets sold
The auditorium can hold no more than 100 people.
Therefore, total number of adult and student tickets sold should be less than or equal to 100
number of student tickets sold + number of adult tickets sold
100
Thus a inequality is framed as:
![s + a\leq 100](https://img.qammunity.org/2021/formulas/mathematics/middle-school/i2pt0r66ufwqzur3f4j5carihdw2e1w2xs.png)
s and a are whole numbers less than or equal to 100
Thus the inequality that could represent number of student tickets sold and the number of adult tickets sold is found