Two factory plants are making tv panels. yesterday, plant a produced 16,000 panels. 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 overall percentage of defective panels from the two plants was 4%?

number of panels produced by plant

answer:

1% of 4000 + 4% of b = 2% of (4000 + b)

40 + 0.04*b = 0.02( 4000 + b)

40 + 0.04* b = 80 + 0.02*b

40 + 0.04*b - 80 - 0.02b = 0

0.02*b - 40 = 0

0.02*b = 40

2b = 4000

b = 2000

check:

      1% of 4000 + 4% of 2000 = 40 + 80 = 120 defectives

4000 + 2000 = 6000

120 out of 6000 = 120/6000 = 12/600 = 1/50 = 2%

plant a produces 4000 panels and 1% of them , or 40, are defective.

plant b produces 2000 panels and 4% of them,   or 80, are defective.

step-by-step explanation: