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Word Problem Modeling
Example 8

Example 8: Translating Word Problems

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

Problem

A plan costs 22 plus 4 per unit. If total is 50, find units.\text{A plan costs }22\text{ plus }4\text{ per unit. If total is }50\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

14x+11=109⇒x=714x+11=109\Rightarrow x=7

3. Conclude

4x+22=50⇒x=74x+22=50\Rightarrow x=7

Final answer

4x+22=50⇒x=74x+22=50\Rightarrow x=7
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