Esp Two factory plants are making TV panels. Yesterday, Plant A produced 8000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 930 defective panels? Number of panels produced by Plant B:

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The image displays a table and some equations used to solve a percent mixture problem involving investments in two funds. Here is the transcription:

---

**Title: Solving a Percent Mixture Problem Using a Linear Equation**

We need to complete the table with this information.

| Fund   | Amount Invested | Profit Percent | Profit Amount    |
|--------|-----------------|----------------|------------------|
| Fund A | 4x              | 4%             | 0.04(4x)         |
| Fund B | x               | 2%             | 0.02x            |
| Total  |                 |                | 1000             |

The total profit is simply the profit from Fund A plus the profit from Fund B.

\[ 0.04(4x) + 0.02x = 1000 \]

We solve for \( x \):

\[
0.16x + 0.02x = 1000 \\
0.18x = 1000 \\
x = \frac{1000}{0.18} \\
x \approx 5555.56
\]

Amount invested in Fund B is \( x = 5555.56 \).

---

This table and calculation show how to distribute investments between two funds to achieve a specific total profit, emphasizing linear equations usage in financial contexts.
Transcribed Image Text:The image displays a table and some equations used to solve a percent mixture problem involving investments in two funds. Here is the transcription: --- **Title: Solving a Percent Mixture Problem Using a Linear Equation** We need to complete the table with this information. | Fund | Amount Invested | Profit Percent | Profit Amount | |--------|-----------------|----------------|------------------| | Fund A | 4x | 4% | 0.04(4x) | | Fund B | x | 2% | 0.02x | | Total | | | 1000 | The total profit is simply the profit from Fund A plus the profit from Fund B. \[ 0.04(4x) + 0.02x = 1000 \] We solve for \( x \): \[ 0.16x + 0.02x = 1000 \\ 0.18x = 1000 \\ x = \frac{1000}{0.18} \\ x \approx 5555.56 \] Amount invested in Fund B is \( x = 5555.56 \). --- This table and calculation show how to distribute investments between two funds to achieve a specific total profit, emphasizing linear equations usage in financial contexts.
**Problem Statement**

Two factory plants are making TV panels. Yesterday, Plant A produced 8000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 930 defective panels?

**Input Field**

- **Number of panels produced by Plant B:** [Input Box]

**Explanation Section**

This section is not visible in the image but would likely provide detailed steps to solve the problem, possibly including setting up algebraic equations to represent the described scenario and solving for the number of panels produced by Plant B.

**Graph/Diagram Explanation**

No graphs or diagrams are present in the image. The focus is on algebraic problem-solving.
Transcribed Image Text:**Problem Statement** Two factory plants are making TV panels. Yesterday, Plant A produced 8000 fewer panels than Plant B did. Five percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 930 defective panels? **Input Field** - **Number of panels produced by Plant B:** [Input Box] **Explanation Section** This section is not visible in the image but would likely provide detailed steps to solve the problem, possibly including setting up algebraic equations to represent the described scenario and solving for the number of panels produced by Plant B. **Graph/Diagram Explanation** No graphs or diagrams are present in the image. The focus is on algebraic problem-solving.
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