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The ratio of the number of boys and the ...

The ratio of the number of boys and the number of girl in a class is 9:11. If the number of boys is 18, then the number of girls is ____.

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To solve the problem, we need to find the number of girls in a class given the ratio of boys to girls and the number of boys. ### Step-by-Step Solution: 1. **Understand the Ratio**: The ratio of boys to girls is given as 9:11. This means that for every 9 boys, there are 11 girls. 2. **Identify the Number of Boys**: We are told that the number of boys is 18. 3. **Set Up the Ratio**: We can express the number of boys and girls in terms of the ratio: - Let the number of boys = 9x - Let the number of girls = 11x Here, x is a common multiplier. 4. **Find the Value of x**: Since we know that the number of boys is 18, we can set up the equation: \[ 9x = 18 \] To find x, divide both sides by 9: \[ x = \frac{18}{9} = 2 \] 5. **Calculate the Number of Girls**: Now that we have the value of x, we can find the number of girls: \[ \text{Number of girls} = 11x = 11 \times 2 = 22 \] 6. **Final Answer**: Therefore, the number of girls in the class is 22. ### Summary: The number of girls in the class is **22**.
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