Student Distribution in Classes

In a school, there are 240 students enrolled in the 5th grade. The students are divided into different classes based on their performance in math. The ratio of students in Class A to Class B is 3:5, while the ratio of students in Class B to Class C is 2:3. If Class C has 1 less student than Class A, how many students are there in Class A?

Let $a$ be the number of students in Class A, $b$ the number of students in Class B, and $c$ the number of students in Class C. Based on the given ratios, you can express the relationships as:

$\frac{a}{b} = \frac{3}{5}$ and $\frac{b}{c} = \frac{2}{3}$.