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Word Problem Modeling
Example 5

Example 5: Translating Word Problems

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

Problem

A plan costs 17 plus 6 per unit. If total is 77, find units.\text{A plan costs }17\text{ plus }6\text{ per unit. If total is }77\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

11x+9=53⇒x=411x+9=53\Rightarrow x=4

3. Conclude

6x+17=77⇒x=106x+17=77\Rightarrow x=10

Final answer

6x+17=77⇒x=106x+17=77\Rightarrow x=10
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