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

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

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.

`(g)/(4) = (b + g)/(6)`

Solve the above equation.

`6g=4b+4g`

`2g=4b`

`(b)/(g)=(2)/(4)`

`(b)/(g)=(1)/(2)`

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