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Word Problem Modeling
Example 12

Example 12: Translating Word Problems

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

Problem

A plan costs 23 plus 3 per unit. If total is 32, find units.\text{A plan costs }23\text{ plus }3\text{ per unit. If total is }32\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

14x+20=90x=514x+20=90\Rightarrow x=5

3. Conclude

3x+23=32x=33x+23=32\Rightarrow x=3

Final answer

3x+23=32x=33x+23=32\Rightarrow x=3