Question

Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair.

Answer 1

Answer:

a. Of all the students, $\frac{1}{5}$ are girls with blond hair.

b. Of all the students, $\frac{1}{5}$ are boys without brown hair.

Step-by-step explanation:

a. You know that $\frac{3}{5}$ of the students are girls (This means that $\frac{2}{5}$ of the studes are boys) and $\frac{1}{3}$ of these girls have blond hair.

Then, $\frac{1}{3}$ of $\frac{3}{5}$ is:

$(\frac{3}{5})(\frac{1}{3})=\frac{1}{5}$

Therefore, of all the students, $\frac{1}{5}$ are girls with blond hair.

b. You know that $\frac{1}{2}$ of the boys have brown hair.

Then, $\frac{1}{2}$ of $\frac{2}{5}$ is:

$(\frac{2}{5})(\frac{1}{2})=\frac{1}{5}$

Of all the students, $\frac{1}{5}$ are boys without brown hair.