In Mr. Abraham's class, $10$ of the $15$ students received an $A$ on the latest exam. If the same ratio of students received an $A$ on Mrs. Berkeley's latest exam, and if Mrs. Berkeley has $24$ students total, how many students in Mrs. Berkeley's class received an $A$?
I need to find the fraction of students who received an $A$ in Mr. Abraham's class, and then apply that fraction to Mrs. Berkeley's class. To find the fraction, I can divide the number of students who got an $A$ by the total number of students in the class. So, the fraction of students who got an $A$ in Mr. Abraham's class is $\frac{10}{15}$, which can be simplified by dividing both the numerator and the denominator by $5$. The simplified fraction is $\frac{2}{3}$, which means that two-thirds of the students in Mr. Abraham's class got an $A$. Now, I can use this fraction to find the number of students who got an $A$ in Mrs. Berkeley's class. I can multiply the fraction by the total number of students in Mrs. Berkeley's class, which is $24$. So, the number of students who got an $A$ in Mrs. Berkeley's class is $\frac{2}{3} \times 24$, which is $16$. 