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A box contains 80 candies. Divide these ...

A box contains 80 candies. Divide these candies between Karan and Sara in the ratio 9:11.`

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To solve the problem of dividing 80 candies between Karan and Sara in the ratio of 9:11, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Ratio**: The ratio of candies between Karan and Sara is given as 9:11. This means that for every 9 parts Karan receives, Sara receives 11 parts. 2. **Calculate Total Parts**: To find the total number of parts in the ratio, we add the parts for Karan and Sara together: \[ 9 + 11 = 20 \text{ parts} \] 3. **Determine the Value of Each Part**: Since the total number of candies is 80, we can find the value of one part by dividing the total number of candies by the total number of parts: \[ \text{Value of one part} = \frac{80}{20} = 4 \] 4. **Calculate Karan's Candies**: Karan receives 9 parts. Therefore, the number of candies Karan gets is: \[ \text{Karan's candies} = 9 \times 4 = 36 \] 5. **Calculate Sara's Candies**: Sara receives 11 parts. Therefore, the number of candies Sara gets is: \[ \text{Sara's candies} = 11 \times 4 = 44 \] 6. **Final Answer**: Karan receives 36 candies and Sara receives 44 candies. ### Summary: - Karan's candies: 36 - Sara's candies: 44
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