Question

There are 24 students in a class. One-third of the students are boys, while the remaining are girls. Determine the fractions of boys and girls.

• A. Fraction of boys $=\frac{8}{16}$, Fraction of girls $=\frac{8}{16}$
• B. Fraction of boys $=\frac{8}{24}$, Fraction of girls $=\frac{8}{24}$
• C. Fraction of boys $=\frac{8}{24}$, Fraction of girls $=\frac{16}{24}$
• D. Fraction of boys $=\frac{16}{24}$, Fraction of girls $=\frac{8}{24}$

Answer 1

The correct option is C Fraction of boys $=\frac{8}{24}$, Fraction of girls $=\frac{16}{24}$

Let us find the fractions of boys and girls.

Boys
- Total number of students = 24
- There are 3 equal parts in a third.
- Number of boys
= Number of students ÷ 3
$=24÷3$
= 8

Girls
- Total number of students = 24
- Number of boys = 8
- Number of girls = Total number of students - Number of boys
= 24 - 8
= 16
$\text{Fraction}=\frac{\text{Number of parts counted}}{\text{Number of parts in the whole}}$
Fraction of boys $=\frac{8}{24}$
Fraction of girls $=\frac{16}{24}$
Hence, the correct option is D.