Question

two factory plants are making tv panels. yesterday, plan A produced 12,000 panels. two percents of the panels from plant A and 6% of the panels form plant B were defective. how many panels did plant B produce, if overall percentage of defective panels from the two plants was 3%.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

total plant A = 12000

0.02 * total plant A = defective panels A

0.06 * total plant B = defective panels B

0.03 = rate of total defective panel

total plant B = ?

Step 02:

We must analyze the problem and write the equation.

0.02 * total plant A + 0.06 * total plant B = 0.03 ( total plant A + total plant B)

0.02 * 12000 + 0.06 * B = 0.03 ( 12000 + B)

240 + 0.06 B = 360 + 0.03 B

0.06 B - 0.03 B = 360 - 240

0.03 B = 120

B = 120 / 0.03

B = 4000

The answer is :

The total number of panels produced by plant b was 4000