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Word Problem Modeling
Example 10

Example 10: Translating Word Problems

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

Problem

A plan costs 13 plus 6 per unit. If total is 43, find units.\text{A plan costs }13\text{ plus }6\text{ per unit. If total is }43\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

13x+14=79⇒x=513x+14=79\Rightarrow x=5

3. Conclude

6x+13=43⇒x=56x+13=43\Rightarrow x=5

Final answer

6x+13=43⇒x=56x+13=43\Rightarrow x=5
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