the number of boys is 60% of the number of girls. What percentage of all students are girls?

Let the number of girls be \( G \) and the number of boys be \( B \).

According to the problem, the number of boys is 60% of the number of girls:
\[
B = 0.6G
\]

The total number of students is the sum of the boys and girls:
\[
\text{Total Students} = G + B
\]

Substituting \( B = 0.6G \) into the equation for total students:
\[
\text{Total Students} = G + 0.6G = 1.6G
\]

Now, to find the percentage of girls among all students, we calculate the ratio of girls to the total number of students:
\[
\text{Percentage of girls} = \left(\frac{G}{1.6G}\right) \times 100 = \frac{1}{1.6} \times 100 = 62.5\%
\]

Thus, 62.5% of all the students are girls.

Would you like further details on this, or have any other questions?

Here are 5 related questions for practice:
1. If there are 80 girls, how many boys are there?
2. What percentage of all students are boys?
3. If there are 160 students in total, how many are girls?
4. If there are 120 boys, how many girls are there?
5. What fraction of the total students are girls?

**Tip:** When comparing parts of a total, percentages can always be represented as fractions or decimals to simplify calculations.

The number of boys is 60% of the number of girls. What percentage of all students are girls?

Learn how to calculate the percentage of girls when the number of boys is 60% of the number of girls. This problem involves basic percentage calculations and algebra, suitable for students in Grades 6-8. Detailed step-by-step solution provided.

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