Question

Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Four percent of the panels from Plant A and 1% 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 2%?

Answer 1

The answer is "16,000"

Explanation:

In this question the amounts of panels created by B the x.

`\therefore`

Calculating the amounts of defective panels from B:

`\to (1)/(100) * x = 0.01x`

Calculating the amounts of defective panels from A:

`\to (4)/(100) * 8000 = 320`

Calculating the total defective panels are :

`\to 320+ 0.01x`

Calculating the total panels manufactured:

`\to 8000 + x`

when the overall percentage of the defective panels is
`2\%`

`\to ((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=(160)/(0.01)\\\\\to x=16,000\\\\`