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Word Problem Modeling
Example 3

Example 3: Translating Word Problems

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

Problem

A plan costs 16 plus 3 per unit. If total is 40, find units.\text{A plan costs }16\text{ plus }3\text{ per unit. If total is }40\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

12x+8=68⇒x=512x+8=68\Rightarrow x=5

3. Conclude

3x+16=40⇒x=83x+16=40\Rightarrow x=8

Final answer

3x+16=40⇒x=83x+16=40\Rightarrow x=8
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