Let's solve each part of this balance puzzle step by step. Each image shows a balance scale with weights and geometric shapes. The goal is to determine the weight of each shape based on the balance.
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a. The square weighs ___
- Left side: 2 + 5 = 7
- Right side: one square
- Since balanced:
Square = 7
✔ Answer: 7
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b. The square weighs ___
- Left side: 2 + square = right side: 8
- So:
$ 2 + \text{square} = 8 $
$ \text{square} = 8 - 2 = 6 $
✔ Answer: 6
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c. One ball weighs ___
- Two balls = 12
- So:
$ 2 \times \text{ball} = 12 $
$ \text{ball} = 12 ÷ 2 = 6 $
✔ Answer: 6
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d. One rectangle weighs ___
- Left: 7 + rectangle = right: 11
- So:
$ 7 + \text{rectangle} = 11 $
$ \text{rectangle} = 11 - 7 = 4 $
✔ Answer: 4
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e. One pentagon weighs ___
- Left: 35
- Right: 5 pentagons (since there are 5 pink pentagons)
- So:
$ 5 \times \text{pentagon} = 35 $
$ \text{pentagon} = 35 ÷ 5 = 7 $
✔ Answer: 7
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f. One oval weighs ___
- Left: 9 + 2 = 11
- Right: 2 ovals
- So:
$ 2 \times \text{oval} = 11 $
$ \text{oval} = 11 ÷ 2 = 5.5 $
✔ Answer: 5.5
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g. One square weighs ___
- Left: 2 + 6 = 8
- Right: 2 + 3 squares (three small red squares)
So:
$ 8 = 2 + 3 \times \text{square} $
$ 8 - 2 = 3 \times \text{square} $
$ 6 = 3 \times \text{square} $
$ \text{square} = 6 ÷ 3 = 2 $
✔ Answer: 2
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h. One square weighs ___
- Left: 9 + 15 = 24
- Right: 3 + 3 squares (three green squares)
So:
$ 24 = 3 + 3 \times \text{square} $
$ 24 - 3 = 3 \times \text{square} $
$ 21 = 3 \times \text{square} $
$ \text{square} = 21 ÷ 3 = 7 $
✔ Answer: 7
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✔ Final Answers:
| Letter | Shape | Weight |
|--------|--------------|--------|
| a | Square | 7 |
| b | Square | 6 |
| c | Ball | 6 |
| d | Rectangle | 4 |
| e | Pentagon | 7 |
| f | Oval | 5.5 |
| g | Square | 2 |
| h | Square | 7 |
> Note: Different shapes have different weights, even if they're the same type (e.g., square in a vs. b). This is because each problem is independent.
Let me know if you'd like a visual explanation or want to see how the scales balance!
Parent Tip: Review the logic above to help your child master the concept of pan balance worksheet.
