Question

two factory plants are making tv panels. yesterday, plant a produced 3000 panels. ten percent of the panels from plant a and 3% 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 6%?
number of panels produced by plant b:

Explanation:

Step1: Define variable for Plant B output

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

Step2: Calculate defective panels from each plant

Defective from A: $0.10 \times 3000 = 300$
Defective from B: $0.03x$

Step3: Set up total defective equation

Total panels: $3000 + x$
Total defective: $0.06(3000 + x)$
Equation: $300 + 0.03x = 0.06(3000 + x)$

Step4: Expand and simplify the equation

$300 + 0.03x = 180 + 0.06x$

Step5: Isolate the variable term

$300 - 180 = 0.06x - 0.03x$
$120 = 0.03x$

Step6: Solve for $x$

$x = \frac{120}{0.03} = 4000$

Answer:

4000