Solve multiplication problems to uncover the mystery picture using the color key.

Problem Analysis:

The task involves solving a series of multiplication problems and then associating the answers with specific colors based on a provided key. The goal is to determine the color for each answer and identify which students have that color as their answer.

#### Key Information:
1. Multiplication Problems: There are 10 multiplication problems listed.
2. Color Key:
- Brown: 10
- Light Blue: 32
- Black: 56
- Yellow: 82
- Blue: 75
- Orange: 58
- Green: 25
- Purple: 54

#### Steps to Solve:
1. Solve Each Multiplication Problem:
- Compute the product for each problem.
2. Match Answers to Colors:
- Use the provided color key to determine the color associated with each answer.
3. Identify Students with Specific Colors:
- Based on the answers, identify which students have the same color.

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Step-by-Step Solution:

#### 1. Solve Each Multiplication Problem:
We will compute the product for each problem:

1. \( 24 \times 4 = 96 \)
2. \( 8 \times 4 = 32 \)
3. \( 56 \div 7 = 8 \) (Note: This is a division problem, not multiplication. Assuming it's a typo, we'll solve it as is.)
4. \( 81 \div 2 = 40.5 \) (This is also a division problem. Assuming it's a typo, we'll solve it as is.)
5. \( 75 \times 1 = 75 \)
6. \( 73 \times 8 = 584 \)
7. \( 25 \times 1 = 25 \)
8. \( 27 \times 2 = 54 \)
9. \( 35 \times 9 = 315 \)
10. \( 20 \times 1 = 20 \)

#### 2. Match Answers to Colors:
Using the provided color key, we match each answer to its corresponding color:

- Problem 1: \( 24 \times 4 = 96 \) → No color matches 96.
- Problem 2: \( 8 \times 4 = 32 \) → Light Blue
- Problem 3: \( 56 \div 7 = 8 \) → No color matches 8.
- Problem 4: \( 81 \div 2 = 40.5 \) → No color matches 40.5.
- Problem 5: \( 75 \times 1 = 75 \) → Blue
- Problem 6: \( 73 \times 8 = 584 \) → No color matches 584.
- Problem 7: \( 25 \times 1 = 25 \) → Green
- Problem 8: \( 27 \times 2 = 54 \) → Purple
- Problem 9: \( 35 \times 9 = 315 \) → No color matches 315.
- Problem 10: \( 20 \times 1 = 20 \) → No color matches 20.

#### 3. Identify Students with Specific Colors:
From the matching, the following colors are associated with specific answers:
- Light Blue: 32 (Problem 2)
- Blue: 75 (Problem 5)
- Green: 25 (Problem 7)
- Purple: 54 (Problem 8)

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Final Answer:

The students who have the following colors as their answers are:
- Light Blue: Problem 2
- Blue: Problem 5
- Green: Problem 7
- Purple: Problem 8

\[
\boxed{\text{Light Blue, Blue, Green, Purple}}
\]