The task involves calculating the weight of each object on the scales by adding the weights of the figures shown on the right side of the scale. The weights of the figures are given as follows:
- Red circle: 0.5 kg
- Blue star: 2 kg
- Green square: 3 kg
Let's solve each problem step by step.
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1. First Scale (Top Left)
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Left Side: A genie lamp.
-
Right Side: One blue star.
-
Weight of blue star: 2 kg
Since the scale is balanced, the weight of the genie lamp is equal to the weight of the blue star.
Answer: 2 kg
---
2. Second Scale (Top Right)
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Left Side: A bag.
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Right Side: Two green squares and one red circle.
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Weight of green square: 3 kg
-
Weight of red circle: 0.5 kg
Calculate the total weight on the right side:
\[
2 \times 3 \, \text{kg} + 0.5 \, \text{kg} = 6 \, \text{kg} + 0.5 \, \text{kg} = 6.5 \, \text{kg}
\]
Since the scale is balanced, the weight of the bag is equal to the total weight on the right side.
Answer: 6.5 kg
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3. Third Scale (Middle Left)
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Left Side: A watermelon slice.
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Right Side: Three red circles.
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Weight of red circle: 0.5 kg
Calculate the total weight on the right side:
\[
3 \times 0.5 \, \text{kg} = 1.5 \, \text{kg}
\]
Since the scale is balanced, the weight of the watermelon slice is equal to the total weight on the right side.
Answer: 1.5 kg
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4. Fourth Scale (Middle Right)
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Left Side: A potted plant.
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Right Side: One blue star and two green squares.
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Weight of blue star: 2 kg
-
Weight of green square: 3 kg
Calculate the total weight on the right side:
\[
2 \, \text{kg} + 2 \times 3 \, \text{kg} = 2 \, \text{kg} + 6 \, \text{kg} = 8 \, \text{kg}
\]
Since the scale is balanced, the weight of the potted plant is equal to the total weight on the right side.
Answer: 8 kg
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5. Fifth Scale (Bottom Left)
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Left Side: Three bottles.
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Right Side: Two blue stars and one red circle.
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Weight of blue star: 2 kg
-
Weight of red circle: 0.5 kg
Calculate the total weight on the right side:
\[
2 \times 2 \, \text{kg} + 0.5 \, \text{kg} = 4 \, \text{kg} + 0.5 \, \text{kg} = 4.5 \, \text{kg}
\]
Since the scale is balanced, the weight of the three bottles is equal to the total weight on the right side.
Answer: 4.5 kg
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6. Sixth Scale (Bottom Right)
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Left Side: Four books.
-
Right Side: One blue star and one green square.
-
Weight of blue star: 2 kg
-
Weight of green square: 3 kg
Calculate the total weight on the right side:
\[
2 \, \text{kg} + 3 \, \text{kg} = 5 \, \text{kg}
\]
Since the scale is balanced, the weight of the four books is equal to the total weight on the right side.
Answer: 5 kg
---
Final Answers
1. Genie lamp:
2 kg
2. Bag:
6.5 kg
3. Watermelon slice:
1.5 kg
4. Potted plant:
8 kg
5. Three bottles:
4.5 kg
6. Four books:
5 kg
Boxed Final Answer:
\[
\boxed{2, 6.5, 1.5, 8, 4.5, 5}
\]
Parent Tip: Review the logic above to help your child master the concept of pan balance worksheet for 5th grade.
