Math Problem Statement
the number of boys is 60% of the number of girls. What percentage of all students are girls?
Solution
Let the number of girls be and the number of boys be .
According to the problem, the number of boys is 60% of the number of girls:
The total number of students is the sum of the boys and girls:
Substituting into the equation for total students:
Now, to find the percentage of girls among all students, we calculate the ratio of girls to the total number of students:
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:
- If there are 80 girls, how many boys are there?
- What percentage of all students are boys?
- If there are 160 students in total, how many are girls?
- If there are 120 boys, how many girls are there?
- 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.
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Math Problem Analysis
Mathematical Concepts
Percentage
Algebra
Ratios
Formulas
B = 0.6G (Number of boys is 60% of the number of girls)
Total Students = G + B
Percentage of girls = (G / (G + B)) * 100
Theorems
Basic Percentage Theorem
Suitable Grade Level
Grades 6-8