Question

There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of students in the club?
One-third
One-half
Two-thirds
StartFraction 3 Over 1 EndFraction

Answer 1

To find the ratio of the number of boys in the club to the total number of students in the club, we first need to determine the total number of students.

There are 5 boys and 10 girls, so:

\[
\text{Total number of students} = \text{Number of boys} + \text{Number of girls} = 5 + 10 = 15
\]

Now, we can set up the ratio of boys to total students:

\[
\text{Ratio of boys to total students} = \frac{\text{Number of boys}}{\text{Total number of students}} = \frac{5}{15}
\]

To simplify this ratio, we divide both the numerator and the denominator by their greatest common divisor, which is 5:

\[
\frac{5}{15} = \frac{1}{3}
\]

Thus, the ratio that represents the number of boys in the club to the total number of students in the club is:

**One-third**.