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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?

A. [tex]\(\frac{1}{3}\)[/tex]
B. [tex]\(\frac{1}{2}\)[/tex]
C. [tex]\(\frac{2}{3}\)[/tex]
D. [tex]\(\frac{3}{1}\)[/tex]

Sagot :

GinnyAnswer
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]
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