Question

Two factory plants are making TV panels. Yesterday, Plant A produced
8000
panels. One percent of the panels from Plant A and
5%
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
4%
?

Answer 1

Let x be the total number of panels produced yesterday by plant B.
Total production by plant A + plant B = 8000 + x
Total defectives made by plant A + plant B = 0.04(8000 + x)
Number of defectives made by plant A = 8000 * 0.01 = 80
Number of defectives made by plant B = 0.05x
Now we can equate the number of defectives as follows:
0.04(8000 + x) = 80 + 0.05x ...........................(1)
Now you need to solve equation (1) to find the value of x, the total number of panels produced yesterday by plant B.