there were 425 girls and 381 boys in a school . 31 girls and 48 boys are overweight.
i) work out the percentage of the girls that are overweight.
ii) work out the percentage of the oys that are overweight.
iii) work out the percentage of all students that are overweight

Let's break down the problem step by step:

### i) Percentage of girls that are overweight
We know that there are 425 girls in total, and 31 of them are overweight.

\[
\text{Percentage of overweight girls} = \left( \frac{31}{425} \right) \times 100
\]

\[
\text{Percentage of overweight girls} = 7.29\% \text{ (rounded to two decimal places)}
\]

### ii) Percentage of boys that are overweight
There are 381 boys in total, and 48 of them are overweight.

\[
\text{Percentage of overweight boys} = \left( \frac{48}{381} \right) \times 100
\]

\[
\text{Percentage of overweight boys} = 12.60\% \text{ (rounded to two decimal places)}
\]

### iii) Percentage of all students that are overweight
The total number of students is \( 425 + 381 = 806 \), and the total number of overweight students is \( 31 + 48 = 79 \).

\[
\text{Percentage of overweight students} = \left( \frac{79}{806} \right) \times 100
\]

\[
\text{Percentage of overweight students} = 9.80\% \text{ (rounded to two decimal places)}
\]

### Summary:
- i) **7.29%** of the girls are overweight.
- ii) **12.60%** of the boys are overweight.
- iii) **9.80%** of all students are overweight.

Would you like more details or further clarification?

Here are 5 related questions:
1. What is the total number of students in the school?
2. How many students in total are not overweight?
3. What is the percentage of students who are not overweight?
4. If 10 more girls become overweight, what would be the new percentage of overweight girls?
5. If the school population increases, how might the percentage calculations change?

**Tip:** To find percentages, divide the part by the whole, then multiply by 100!

There were 425 girls and 381 boys in a school. 31 girls and 48 boys are overweight.

i) Work out the percentage of the girls that are overweight.

ii) Work out the percentage of the boys that are overweight.

iii) Work out the percentage of all students that are overweight.

Learn how to calculate the percentage of overweight students in a school with 425 girls and 381 boys. This problem involves finding the percentage of overweight girls, boys, and the total percentage of overweight students using simple percentage formulas. Suitable for Grades 6-8.

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