Question

In a group of students, the ratio of girls to boys is 3 to 2.

If there are 15 girls, how many total students are there?

30
10
20
25

Answer 1

The ratio of girls to boys is 3 to 2. This means for every 3 girls, there are 2 boys.

Given that there are 15 girls, we can first find the number of parts in the ratio that corresponds to the girls:

- The ratio has a total of \(3 + 2 = 5\) parts.
- The part for girls is 3, and we can find the number of students per part by dividing the number of girls by the part count for girls:

\[
\text{Number of girls per part} = \frac{15 \text{ girls}}{3 \text{ parts}} = 5 \text{ girls/part}
\]

Now, we can determine how many boys there are:

- Each part consists of 5 students, and since there are 2 parts for boys, the number of boys is:

\[
\text{Number of boys} = 2 \text{ parts} \times 5 \text{ boys/part} = 10 \text{ boys}
\]

Now, to find the total number of students:

\[
\text{Total students} = \text{Number of girls} + \text{Number of boys} = 15 + 10 = 25
\]

Therefore, the total number of students is **25**.