Question

A group of five students contains 4 boys and 1 girl. Which of the following statements is correct?

• A. The fraction of boys in the group is $\frac{4}{5}$ and the ratio of boys to girls is 4 : 1.
• B. The fraction of girls in the group is $\frac{1}{5}$ and the ratio of girls to boys is 1 : 5.
• C. The fraction of boys in the group is $\frac{4}{5}$ and the ratio of girls to boys is 1 : 5.
• D. The fraction of girls in the group is $\frac{1}{4}$ and the ratio of girls to boys is 1 : 4.

Answer 1

The correct option is A

The fraction of boys in the group is $\frac{4}{5}$ and the ratio of boys to girls is 4 : 1.

A fraction is a number that represents a part of the whole. In a fraction, the denominator represents the number of equal parts in a whole, and the numerator represents how many parts are being considered.
On the other hand, a ratio is a comparison of two quantities.

In a group of five students containing 4 boys and 1 girl, the fraction of girls in the group is $\frac{1}{5}$. The fraction of boys in the group is $\frac{4}{5}$. The denominator will always be five because the whole group consists of five students.

In the question given above, the ratio of the number of girls to the number of boys is 1:4 and the ratio of the number of boys to the number of girls is 4:1. The ratio of girls to the total number of students is 1:5, and the ratio of boys to the total number of students is 4:5.