Question

In a college, the ratio of the number of boys to the number of girls is 8 : 5. If the number of boys is 243 more than the number of girls, then what is the fraction of the number of girls in the college to the total number of students?

• A. $\frac{7}{13}$
• B. $\frac{5}{13}$
• C. $\frac{9}{13}$
• D. $\frac{3}{13}$

Answer 1

The correct option is B $\frac{5}{13}$

Here, we have given the ratio of the number of boys to the number of girls which is 8 : 5.

Let's assume there are $8x$ boys and $5x$ girls.
Hence, the total number of students will be $8x+5x=13x$.

Now, the ratio of the number of girls to the total number of students $=\frac{5x}{13x}=\frac{5}{13}$
Hence, required ratio is 5 : 13