Question

two factory plants are making tv panels. yesterday, plant a produced 8000 panels. one percent of the panels from plant a and 4% of the panels from plant b were defective. how many panels did plant b produce, if the overall percentage of defective panels from the two plants was 3%?
number of panels produced by plant b:

Explanation:

Step1: Define variable for Plant B

Let $x$ = number of panels Plant B produced.

Step2: Calculate defective panels from each plant

Defective from A: $0.01 \times 8000 = 80$
Defective from B: $0.04x$

Step3: Set up overall defect equation

Total defective = 3% of total panels:
$$80 + 0.04x = 0.03(8000 + x)$$

Step4: Expand and simplify the equation

$$80 + 0.04x = 240 + 0.03x$$

Step5: Isolate the variable $x$

$$0.04x - 0.03x = 240 - 80$$
$$0.01x = 160$$
$$x = \frac{160}{0.01} = 16000$$

Answer:

16000