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Word Problem Modeling
Example 7

Example 7: Translating Word Problems

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

Problem

A plan costs 13 plus 7 per unit. If total is 34, find units.\text{A plan costs }13\text{ plus }7\text{ per unit. If total is }34\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

7x+13=34x=37x+13=34\Rightarrow x=3

3. Conclude

7x+13=34x=37x+13=34\Rightarrow x=3

Final answer

7x+13=34x=37x+13=34\Rightarrow x=3