Question

to factory plants are making TV panels. Yesterday plant a produce 8000 panels 1% of the panels from plant a 4% of the panels from plant be where defective how many panels did plant be produced if the overall percentage of defective plants from the two plants was 2%

Answer 1

Answer:

$Plant\ B\ produces\ 4000\ panels.$

Step-by-step explanation:

Let plant B produces $x$ panels.

Defective Panels from Plant A and Plant B

Defective panels from plant A$=1\%\ of\ 8000$

Defective panels from plant A$=0.01\times 8000$

Defective panels from plant A$=80$

Defective panels from plant B$=4\%\ of\ x$

Defective panels from plant B$=0.04x$

Total Defective panels=Defective panels from plant A+Defective panels from plant B

Total Defective panels$=80+0.04x$

Total Panels and defective panels:

Total Panels=Panels from plant A+Panels from plant B

Total Panels=8000+x

Total Defective panels$=2\%\ of\ total\ panels=2\%\ of\ (8000+x)$

Total Defective Panels$0.02\times (8000+x)=160+0.02x$

$80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=\frac{80}{0.02}\\\\x=4000$