3/4 of a tank is filled with water. If 30 liters of water is subtracted to the tank, then if becomes empty. The capacity of the tank is

Options

A. 36 liters
B. 42 liters
C. 40 liters
D. 38 liters

Answer

To find the capacity of the tank, we can follow these steps:

### Step 1: Understand the Problem
We know that 3/4 of the tank is filled with water. If we remove 30 liters of water, the tank becomes empty. This means that the amount of water removed (30 liters) is equal to the amount of water that was in the tank (3/4 of the tank's capacity).

### Step 2: Set Up the Equation
Let the total capacity of the tank be represented by \( C \) liters. According to the problem, we have:
\[ \frac{3}{4}C = 30 \]

### Step 3: Solve for \( C \)
To find the capacity \( C \), we can rearrange the equation:
\[ C = 30 \times \frac{4}{3} \]

### Step 4: Calculate \( C \)
Now, we perform the multiplication:
\[ C = 30 \times \frac{4}{3} = 30 \times 1.3333 = 40 \]

### Step 5: Conclusion
Thus, the capacity of the tank is \( 40 \) liters.