Question

Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 820 defective panels?

Answer 1

16000

Explanation:

You want to know the number of panels produced at plant B if that was 6000 more panels than at plant A, and the total number of defective panels was 820. The defect rate at plant A is 5%, and at plant B is 2%.

Setup

Let b represent the number of panels produced at plant B. Then the number produced at plant A is (b-6000). The total number of defects is ...

0.05(b -6000) +0.02b = 820

Solution

Simplifying the equation, we have ...

0.07b -300 = 820

0.07b = 1120

b = 16000

Plant B produced 16000 panels.

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