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The question involves balancing a weighing scale, where the left side of the scale has one green rectangle, one orange oval, and two light-blue stars, while the right side has a single yellow pentagon. The task is to identify which combination from options 1 to 5 can balance the second scale, where the left side has an orange oval, a green rectangle, and a light-blue star.

### Breakdown:
- In the first scale, **left side** has:
  - 1 green rectangle
  - 1 orange oval
  - 2 light-blue stars

  **Right side** has:
  - 1 yellow pentagon

Since the scale is balanced, we can assume that the total weight of the items on each side is equal.

### Second scale:
The **left side** has:
  - 1 orange oval
  - 1 green rectangle
  - 1 light-blue star
  
You need to find which of the options (1 to 5) balances this scale. Each option consists of different combinations of the green rectangles, stars, ovals, and pentagons.

### Steps:
1. Compare the composition of both sides of the first scale.
2. Find the weight distribution of the objects based on the balanced condition.
3. Apply that knowledge to balance the second scale by selecting the correct combination from the provided options.

Let me calculate that for you.Based on the solution to the equation \( r + o + 2s = p \), we find that:

\[
o = -r - 2s + 1
\]

This means the weight of the orange oval \( o \) depends on the weight of the green rectangle \( r \) and the two light-blue stars \( s \), balancing the pentagon. Now, for the second scale, the left side contains \( r + o + s \). We need to determine which option (1 to 5) provides the correct weight to balance this.

Let's check the weight of each option to see which one matches the total weight.The results for the options are:

- **Option 1**: Balances with the value 1.
- **Option 2**: Depends on \( r - s + 1 \).
- **Option 3**: Balances directly with \( p \) (which is 1).
- **Option 4**: Results in \( -r - 2s + 2 \).
- **Option 5**: Also depends on \( r - s + 1 \).

Since the left side of the second scale must balance to 1 (matching the total from the first scale), **Option 1** correctly balances the equation \( r + o + 2s \) to equal 1.

Therefore, the correct answer is **Option 1**.

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Do you need more details or have any questions? Here are some related questions:

1. How do we calculate the individual weights of objects based on balance scales?
2. Can we solve balance scale problems involving more than two sides?
3. How does substitution simplify algebraic equations?
4. What is the significance of symmetry in balance problems?
5. How can we test balance by trial and error for complex arrangements?

**Tip**: When solving balance problems, always start by simplifying each side of the equation to its core components before comparing both sides.

Which option will balance the weighing scale? The first scale is balanced with a green rectangle, an orange oval, and two light-blue stars on the left, and a yellow pentagon on the right. The second scale has a green rectangle, an orange oval, and one light-blue star on the left. Select the correct option from 1 to 5 that will balance the second scale.

Learn how to balance a weighing scale by distributing weights using algebraic methods. This problem involves understanding the weight of various objects and finding the correct option to balance the second scale. Suitable for Grades 5-7, covering basic algebraic concepts.

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