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Word Problem Modeling
Example 11

Example 11: Translating Word Problems

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

Problem

A plan costs 10 plus 7 per unit. If total is 38, find units.\text{A plan costs }10\text{ plus }7\text{ per unit. If total is }38\text{, find units.}

1. Recognize Pattern

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

2. Apply Method

9x+18=54⇒x=49x+18=54\Rightarrow x=4

3. Conclude

7x+10=38⇒x=47x+10=38\Rightarrow x=4

Final answer

7x+10=38⇒x=47x+10=38\Rightarrow x=4
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