Question

two factory plants are making TV panels. Yesterday, Plant A produced 6000 panels. Five percent of the panels from Plant A and 1% of the panels from Plant V were defective. How many panels did plant B produce if the overall percentage of defective panels from the two plants was 2%

Answer 1

Plant B produced 24000 overall.

Explanation:

Let a = the number of panels produced by Plant A, and let b= the number of panels produced by Plant B.

5% of Plant A's panel's were defective, so the amount of defetcive panels from Plant A = 0.05a

1% of Plant B's panel's were defective, so the amount of defetcive panels from Plant B = 0.01b

The overall percentage of defective panels from the two plants was 2%, so the overall amount of defective panels = 0.02(a+b)

The overall amount of defetcive panels is the sum of the defective panels from each plant:

0.02(a+b) = 0.05a + 0.01b

0.02a+0.02b = 0.05a+0.01b

0.02b-0.01b = 0.05a-0.02a

0.01b = 0.03a

We know Plant A produced 6000 panels so a = 6000:

0.01b = 0.03(6000)

0.01b = 180

b = 18000

So Plant B produced 18000 overall.

Answer 2

To find out how many panels Plant B produced, we need to use the information given in the question.

Plant A produced 6000 panels, and 5% of those panels were defective. So, the number of defective panels produced by Plant A is 5% of 6000, which is (5/100) * 6000 = 300 panels.

The overall percentage of defective panels from both plants is 2%. Since we know that 300 panels were defective from Plant A, we can subtract that from the total number of defective panels to find out how many were produced by Plant B.

Let's represent the number of panels produced by Plant B as "x".

The total number of defective panels from both plants is 2% of the total number of panels. So, (2/100) * (6000 + x) = 300.

Now, we can solve this equation to find the value of "x", which represents the number of panels produced by Plant B.

(2/100) * (6000 + x) = 300

Simplifying the equation, we get:

(2/100) * 6000 + (2/100) * x = 300

120 + (2/100) * x = 300

(2/100) * x = 300 - 120

(2/100) * x = 180

To find the value of "x", we can divide both sides of the equation by (2/100):

x = (180) / (2/100)

x = 180 * (100/2)

x = 180 * 50

x = 9000

Therefore, Plant B produced 9000 panels.

Explanation: