Question

If the ratio of boys to girls in a class is $B$ and the ratio of girls to boys is $G,$ then $3(B+G)$ is

• A. equal to $3$
• B. less than $3$
• C. more than $3$
• D. less than $\frac{1}{3}$

Answer 1

The correct option is C more than $3$

Let the number of boys be x and the number of girls $=y$

Then,

$B=\frac{x}{y}andG=\frac{y}{x}$

$\therefore 3(B+G)=3[\frac{x}{y}+\frac{y}{x}]=\frac{3(x^2+y^2)}{xy}>3$