Represent constraints with equations, inequalities, and systems; interpret viable and non-viable solutions in context.
Write an inequality from a ratio requirement
Problem
Write an inequality requiring at least \(1\) adult \(a\) for every \(8\) students \(s\).
Big Picture
What this problem is really about
This ratio describes capacity: each adult accounts for a fixed maximum group of students. We’ll multiply the per-adult capacity by the number of adults, then compare the actual student count with that total capacity. The wording allows the capacity to be reached exactly, so the comparison must include equality and keep the two variable roles in the stated order.
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