To solve the problems using the bar model, we need to analyze each scenario step by step. The bar model helps us visualize the relationships between quantities and perform addition or subtraction as needed.
Problem 1: Apples and Bananas
-
Given:
- Bananas: 16 + 4 = 20
- Apples: ?
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Bar Model: The bar for apples is equal to the total number of bananas.
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Solution:
- Total bananas = 16 + 4 = 20
- Therefore, the number of apples = 20
-
Answer: There are
20 apples.
Problem 2: Toy Cars and Soft Toys
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Given:
- Toy cars: 14
- Soft toys: ? + 7
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Bar Model: The bar for toy cars is equal to the total number of soft toys.
-
Solution:
- Total soft toys = 14
- Let the unknown part of soft toys be \( x \). Then, \( x + 7 = 14 \)
- Solving for \( x \): \( x = 14 - 7 = 7 \)
- Therefore, the number of soft toys = 7
-
Answer: There are
7 soft toys.
Problem 3: Pens and Pencils
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Given:
- Pens: 32
- Pencils: ? + 10
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Bar Model: The bar for pens is equal to the total number of pencils.
-
Solution:
- Total pencils = 32
- Let the unknown part of pencils be \( x \). Then, \( x + 10 = 32 \)
- Solving for \( x \): \( x = 32 - 10 = 22 \)
- Therefore, the number of pencils = 22
-
Answer: There are
22 pencils.
Problem 4: Ducks and Fish
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Given:
- Fish: 41 + 9 = 50
- Ducks: ?
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Bar Model: The bar for ducks is equal to the total number of fish.
-
Solution:
- Total fish = 41 + 9 = 50
- Therefore, the number of ducks = 50
-
Answer: There are
50 ducks.
Problem 5: Mushrooms and Carrots
-
Given:
- Mushrooms: 24
- Carrots: ? + 14
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Bar Model: The bar for mushrooms is equal to the total number of carrots.
-
Solution:
- Total carrots = 24
- Let the unknown part of carrots be \( x \). Then, \( x + 14 = 24 \)
- Solving for \( x \): \( x = 24 - 14 = 10 \)
- Therefore, the number of carrots = 10
-
Answer: There are
10 carrots.
Final Answers:
1. There are
20 apples.
2. There are
7 soft toys.
3. There are
22 pencils.
4. There are
50 ducks.
5. There are
10 carrots.
\[
\boxed{20, 7, 22, 50, 10}
\]
Parent Tip: Review the logic above to help your child master the concept of bar model worksheet.