To find the number of girls in the class based on the given ratio of boys to girls (2:1), we can set up the problem as follows:
Given that there are 24 boys, we can express the number of girls using the ratio. The ratio 2:1 means that for every 2 boys, there is 1 girl.
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If we let the number of boys be represented as 2 parts and the number of girls as 1 part, we can find the total parts:
- Total parts = 2 parts (boys) + 1 part (girls) = 3 parts
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Each part in this ratio corresponds to a certain number of students. To find out how many students are represented by each part, we divide the number of boys by their ratio part:
- Each part = Number of boys / 2 = 24 boys / 2 = 12
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Now we can find the number of girls, which is represented as 1 part:
- Number of girls = 1 part * 12 = 12 girls
Therefore, the correct reasoning leads us to conclude that there are 12 girls in the class.
The correct response would be: There are 12 girls in the class because there are twice as many boys as girls.