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

`Plant\ B\ produces\ 4000\ panels.`

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* 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* (8000+x)=160+0.02x`

`80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=(80)/(0.02)\\\\x=4000`