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Word Problem Modeling
Example 6

Example 6: Translating Word Problems

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

Problem

A plan costs 20 plus 5 per unit. If total is 50, find units.\text{A plan costs }20\text{ plus }5\text{ per unit. If total is }50\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

15x+8=53⇒x=315x+8=53\Rightarrow x=3

3. Conclude

5x+20=50⇒x=65x+20=50\Rightarrow x=6

Final answer

5x+20=50⇒x=65x+20=50\Rightarrow x=6
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