Question

In a certain English class, \small \frac{1}{4} of the number of girls is equal to \small \frac{1}{6} of the total number of students. What is the ratio of the number of boys to the number of girls in the class?

Answer 1

Answer:

The ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.

Step-by-step explanation:

Consider the provided information.  

Let g is number of girls, and b is number of boys.

The total number of students is b + g.

It is given that, In a certain English class, 1/4 of the number of girls is equal to 1/6 of the total number of students.  

$\frac{g}{4} = \frac{b + g}{6}$

Solve the above equation.  

$6g=4b+4g$

$2g=4b$

$\frac{b}{g}=\frac{2}{4}$

$\frac{b}{g}=\frac{1}{2}$

Hence, the ratio of the number of boys to the number of girls in the class 1 to 2 or 1/2.