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 $=\frac{2}{3} x$

Now ne-half of the girls wear glasses. So, one-half of $\frac{2}{3} x$ is

= $\frac{1}{2} *\frac{2}{3} x$

=$\frac{1}{3} x$ 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.