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Give some case study questions class 7 maths comparing quantities with answers?
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Case Study Question 1: Comparing Costs of Fruits
In a fruit market, the prices of apples, oranges, and bananas are as follows:
- Apples: $3 per kg
- Oranges: $2 per kg
- Bananas: $1.5 per kg
If a family buys 2 kg of apples, 3 kg of oranges, and 4 kg of bananas, what is the total cost?
Solution:
- Cost of apples: 2 kg * $3 = $6
- Cost of oranges: 3 kg * $2 = $6
- Cost of bananas: 4 kg * $1.5 = $6
Total Cost:
- $6 (apples) + $6 (oranges) + $6 (bananas) = $18
Case Study Question 2: Comparing Discounts
A store offers a discount on two items:
- A shirt originally priced at $40 with a 25% discount.
- A pair of shoes originally priced at $60 with a 10% discount.
What is the final price of each item after the discount?
Solution:
- Discount on shirt: 25% of $40 = $10
- Final price of shirt: $40 - $10 = $30
- Discount on shoes: 10% of $60 = $6
- Final price of shoes: $60 - $6 = $54
Case Study Question 3: Comparing Ratios
In a class of 30 students, the ratio of boys to girls is 3:2. How many boys and girls are there in the class?
Solution:
- Total parts in the ratio: 3 (boys) + 2 (girls) = 5 parts
- Value of one part: 30 students / 5 parts = 6 students per part
- Number of boys: 3 parts * 6 students = 18 boys
- Number of girls: 2 parts * 6 students = 12 girls
Conclusion:
These case studies help students understand how to apply the concept of comparing quantities in real-life situations effectively.
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