Respuesta :
Answer:
The answer is "16,000"
Step-by-step explanation:
In this question the amounts of panels created by B the x.
[tex]\therefore[/tex]
Calculating the amounts of defective panels from B:
[tex]\to \frac{1}{100} \times x = 0.01x[/tex]
Calculating the amounts of defective panels from A:
[tex]\to \frac{4}{100} \times 8000 = 320[/tex]
Calculating the total defective panels are :
[tex]\to 320+ 0.01x[/tex]
Calculating the total panels manufactured:
[tex]\to 8000 + x[/tex]
when the overall percentage of the defective panels is [tex]2\%[/tex]
[tex]\to \frac{(320 + 0.01x)}{(8000 + x)} = 0.02\\\\\to (320 + 0.01x) = 0.02 (8000 + x)\\\\\to 320 + 0.01x = 160 + 0.02x\\\\\to 320 -160 = -0.01x + 0.02x\\\to 160 = 0.01x\\\\\to x=\frac{160}{0.01}\\\\\to x=16,000\\\\[/tex]
