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In a class of 35 students, what is the number of girls if there is a 4:3 ratio between boys and girls?

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15

To determine the number of girls in the class, we start with the understanding of the ratio provided, which is 4:3 for boys to girls. This means that for every 4 boys, there are 3 girls.

First, we can express the number of boys and girls in terms of a variable. Let the number of boys be represented as 4x and the number of girls as 3x, where x is a common multiplier.

The total number of students in the class is given as 35. Therefore, we can set up the equation:

4x + 3x = 35.

Combining the terms gives us:

7x = 35.

To find the value of x, we divide both sides of the equation by 7:

x = 5.

Now that we have the value of x, we can calculate the number of girls:

Number of girls = 3x = 3 * 5 = 15.

Thus, the number of girls in the class is 15, which corresponds to the answer provided. This approach effectively uses the relationship defined by the ratio to solve for the actual quantities involved.

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