https://r2.erweima.ai/mathbot/image/17262356110933qukknmh.jpg

Let's break down the system of equations represented by the images.

1. **Equation 1 (with apples and lemon)**:  
   \( 2 \times \text{apple} + 5 \times \text{lemon} = 11 \)

2. **Equation 2 (with apples and orange)**:  
   \( 4 \times \text{apple} - 2 \times \text{orange} = 0 \)  
   This simplifies to:  
   \( 4 \times \text{apple} = 2 \times \text{orange} \)  
   \( \text{apple} = \frac{\text{orange}}{2} \)

3. **Equation 3 (with oranges)**:  
   \( 2 \times \text{orange} = 10 \)  
   Solving this,  
   \( \text{orange} = 5 \)

Now that we know the value of the orange, let's substitute it back into the second equation:

- \( \text{apple} = \frac{5}{2} = 2.5 \)

Now, substitute the value of the apple into the first equation to find the value of the lemon:

- \( 2 \times 2.5 + 5 \times \text{lemon} = 11 \)
- \( 5 + 5 \times \text{lemon} = 11 \)
- \( 5 \times \text{lemon} = 6 \)
- \( \text{lemon} = \frac{6}{5} = 1.2 \)

### Final Results:
- Apple = 2.5
- Orange = 5
- Lemon = 1.2

Would you like any further details or clarifications?

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Here are 5 questions to explore further:
1. How can you verify if the values satisfy all the equations?
2. What happens if you change the coefficients of the fruits in the equations?
3. Can you create a new system of equations using different fruits and values?
4. How do systems of linear equations like this work in real-life applications?
5. What would happen if one equation had a different operation, like division?

**Tip**: Always check your solutions by plugging them back into the original equations to ensure accuracy.

Solve for the values of apples, oranges, and lemons based on the following system of equations represented with fruits.

Learn how to solve a system of linear equations using fruit representations, focusing on apples, oranges, and lemons. This problem introduces key algebraic concepts such as substitution and solving linear equations, ideal for students in Grades 5-7.

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