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Word Problem Modeling
Example 9

Example 9: Translating Word Problems

Step-by-step worked example for this lesson track.

Problem

A plan costs 16 plus 12 per unit. If total is 112, find units.\text{A plan costs }16\text{ plus }12\text{ per unit. If total is }112\text{, find units.}

1. Recognize Pattern

Total=rate⋅x+fixed\text{Total}=\text{rate}\cdot x+\text{fixed}

2. Apply Method

4x+8=24⇒x=44x+8=24\Rightarrow x=4

3. Conclude

12x+16=112⇒x=812x+16=112\Rightarrow x=8

Final answer

12x+16=112⇒x=812x+16=112\Rightarrow x=8
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