Answer:
[tex]Plant\ B\ produces\ 4000\ panels.[/tex]
Step-by-step explanation:
Let plant B produces [tex]x[/tex] panels.
Defective Panels from Plant A and Plant B
Defective panels from plant A[tex]=1\%\ of\ 8000[/tex]
Defective panels from plant A[tex]=0.01\times 8000[/tex]
Defective panels from plant A[tex]=80[/tex]
Defective panels from plant B[tex]=4\%\ of\ x[/tex]
Defective panels from plant B[tex]=0.04x[/tex]
Total Defective panels=Defective panels from plant A+Defective panels from plant B
Total Defective panels[tex]=80+0.04x[/tex]
Total Panels and defective panels:
Total Panels=Panels from plant A+Panels from plant B
Total Panels=8000+x
Total Defective panels[tex]=2\%\ of\ total\ panels=2\%\ of\ (8000+x)[/tex]
Total Defective Panels[tex]0.02\times (8000+x)=160+0.02x[/tex]
[tex]80+0.04x=160+0.02x\\\\0.04x-0.02x=160-80\\\\0.02x=80\\\\x=\frac{80}{0.02}\\\\x=4000[/tex]
