800 chocolates were distributed among the students of a class. East student got twice as many chocolates as the number of students in the class. The number of students in the class was:

Options

A. 25
B. 30
C. 35
D. 20

Answer

To solve the problem, we need to determine the number of students in the class based on the distribution of chocolates. Here’s a step-by-step solution:

### Step 1: Define Variables
Let \( N \) be the number of students in the class.

### Step 2: Determine Chocolates per Student
According to the problem, each student received twice as many chocolates as the number of students in the class. Therefore, the number of chocolates each student received is:
\[ \text{Chocolates per student} = 2N \]

### Step 3: Calculate Total Chocolates Distributed
The total number of chocolates distributed among all students can be expressed as:
\[ \text{Total chocolates} = \text{Number of students} \times \text{Chocolates per student} = N \times 2N = 2N^2 \]

### Step 4: Set Up the Equation
We know from the problem that the total number of chocolates distributed is 800. Therefore, we can set up the equation:
\[ 2N^2 = 800 \]

### Step 5: Solve for \( N^2 \)
To isolate \( N^2 \), divide both sides of the equation by 2:
\[ N^2 = \frac{800}{2} = 400 \]

### Step 6: Solve for \( N \)
Now, take the square root of both sides to find \( N \):
\[ N = \sqrt{400} = 20 \]

### Conclusion
Thus, the number of students in the class is:
\[ \boxed{20} \]

---