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Word Problem Modeling
Example 1

Example 1: Translating Word Problems

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

Problem

A plan costs 11 plus 9 per unit. If total is 47, find units.\text{A plan costs }11\text{ plus }9\text{ per unit. If total is }47\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

13x+30=108⇒x=613x+30=108\Rightarrow x=6

3. Conclude

9x+11=47⇒x=49x+11=47\Rightarrow x=4

Final answer

9x+11=47⇒x=49x+11=47\Rightarrow x=4
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