Write and solve a linear equation from a short verbal or contextual situation.
Define the variable before writing the equation
Problem
Let \(c\) be the number of classes. A center charges \(\$5~\text{once}\) plus \(\$3~\text{per}~\text{class}\) for a \(\$20\) total. Write and solve an equation for \(c\). Report the equation and number of classes.
Big Picture
What this problem is really about
Keep the definition of c in view: it counts classes, not dollars. The five-dollar charge happens once, while the three-dollar charge repeats c times, and together they make the twenty-dollar total. Remove the fixed charge before dividing by the per-class rate, then report the result with class units and verify the total cost.
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