Question

Two-thirds of students in a class are girls. If one-half of the girls wear glasses, what fractional part of students are girls who wear glasses?

(A) 1/8
(B) 1/6
(C) 1/5
(D) 1/4
(E) 1/3

Answer 1

Let's assume the number of students in the class be x.

Given that, Two-thirds of students in a class are girls.

So, number of girls
`=(2)/(3) x`

Now ne-half of the girls wear glasses. So, one-half of
`(2)/(3) x` is

=
`(1)/(2) *(2)/(3) x`

=
`(1)/(3) x` Cancel out 2 from both numerator and denominator.

So, one third of the students are girls who wear glasses.

So, the correct choice is E.