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Word Problem Modeling
Example 2

Example 2: Translating Word Problems

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

Problem

A plan costs 25 plus 6 per unit. If total is 73, find units.\text{A plan costs }25\text{ plus }6\text{ per unit. If total is }73\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

7x+16=79⇒x=97x+16=79\Rightarrow x=9

3. Conclude

6x+25=73⇒x=86x+25=73\Rightarrow x=8

Final answer

6x+25=73⇒x=86x+25=73\Rightarrow x=8
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