To solve the problem presented:

1. The problem states that 7 students walk to school, two-fifths ride the bus, and 32% are dropped off by their parents. Let's denote the total number of students as $x$.

2. The number of students who ride the bus is $\frac{2}{5}x$.

3. Since 32% are dropped off by their parents, that makes $0.32x$ students.

4. The total number of students is represented as: $x = 7 + \frac{2}{5}x + 0.32x$

5. Combine like terms: $x = 7 + 0.72x$

6. To isolate $x$, subtract $0.72x$ from both sides: $0.28x = 7$

7. Solving for $x$: $x = \frac{7}{0.28} = 25$

So, the total number of students in the class is 25.

8. To find the number of students who ride the bus: $\text{Number of students who ride the bus} = \frac{2}{5} \times 25 = 10$

Answer: 10 students ride the bus.

Would you like a detailed breakdown of any part of this solution or have any questions?

Here are five related questions to expand your understanding:

1. What percentage of students walk to school in this class?
2. How many students are dropped off by their parents?
3. If the number of students riding the bus doubled, how would that affect the total count distribution?
4. How would the solution change if 40% of students were dropped off instead of 32%?
5. What fraction of the total students are not walking to school?

Tip: When faced with fraction and percentage problems, it can help to break the equation into manageable parts and solve step-by-step to ensure clarity.