To find the ratio of the number of boys to the total number of students in the glee club, follow these steps:
1. Determine the Number of Boys and Girls:
- Number of boys: 5
- Number of girls: 10
2. Calculate the Total Number of Students:
[tex]\[
\text{Total number of students} = \text{Number of boys} + \text{Number of girls}
\][/tex]
[tex]\[
\text{Total number of students} = 5 + 10 = 15
\][/tex]
3. Find the Ratio of Boys to the Total Number of Students:
- The ratio is given by:
[tex]\[
\text{Ratio of boys to total students} = \frac{\text{Number of boys}}{\text{Total number of students}}
\][/tex]
[tex]\[
\text{Ratio of boys to total students} = \frac{5}{15}
\][/tex]
4. Simplify the Ratio:
[tex]\[
\frac{5}{15} = \frac{1}{3}
\][/tex]
So, the ratio of the number of boys to the total number of students in the glee club is [tex]\( \frac{1}{3} \)[/tex].
Therefore, the correct answer is:
[tex]\[ \frac{1}{3} \][/tex]