Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Two percent of the panels from Plant A and 6% 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 5%?

Let's denote the number of panels produced by Plant B as \( x \).

### Step 1: Calculate the number of defective panels from each plant.
- Plant A produced 8,000 panels, and 2% of these were defective:
  \[
  \text{Defective panels from Plant A} = 0.02 \times 8000 = 160
  \]
- Plant B produced \( x \) panels, and 6% of these were defective:
  \[
  \text{Defective panels from Plant B} = 0.06 \times x
  \]

### Step 2: Calculate the total number of defective panels.
The total number of defective panels from both plants is:
\[
\text{Total defective panels} = 160 + 0.06x
\]

### Step 3: Express the overall percentage of defective panels.
The overall percentage of defective panels is 5%. The total number of panels produced by both plants is:
\[
\text{Total panels} = 8000 + x
\]
So, the total number of defective panels is also given by:
\[
\text{Total defective panels} = 0.05 \times (8000 + x)
\]

### Step 4: Set up the equation and solve for \( x \).
We equate the two expressions for the total defective panels:
\[
160 + 0.06x = 0.05 \times (8000 + x)
\]

Distribute the 0.05 on the right side:
\[
160 + 0.06x = 400 + 0.05x
\]

### Step 5: Simplify and solve the equation.
Subtract \( 0.05x \) from both sides:
\[
160 + 0.01x = 400
\]
Subtract 160 from both sides:
\[
0.01x = 240
\]
Divide by 0.01:
\[
x = 24000
\]

### Conclusion:
Plant B produced **24,000 panels**.

Would you like any details or have any questions?

Here are some related questions:
1. What if Plant A had produced 10,000 panels instead of 8,000?
2. How would the solution change if the overall percentage of defective panels was 4% instead of 5%?
3. What would be the impact if the percentage of defective panels at Plant A increased to 3%?
4. How many panels would Plant B need to produce if its defective rate dropped to 4%?
5. What is the combined defective rate if Plant A produces 12,000 panels with a 1% defective rate?

**Tip:** When solving problems involving percentages, it's useful to set up an equation relating the parts to the whole, as we did in this problem.

Learn how to solve a problem involving defective TV panels produced by Plant A and Plant B. This problem covers percentage calculations and algebraic equations to determine Plant B's production. Suitable for Grades 7-9.

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