When 40 is subtracted from 30% of a number, the result is 50.What is the value of the number?

Options

A. 150
B. 180
C. 300
D. 450

Answer

To solve the problem, we need to find the value of a number (let's call it \( x \)) based on the information given in the question.

### Step-by-Step Solution:

1. **Understand the problem statement**: We need to find a number \( x \) such that when 40 is subtracted from 30% of this number, the result is 50.

2. **Translate the problem into an equation**:
- 30% of the number \( x \) can be expressed as \( 0.3x \).
- According to the problem, when we subtract 40 from \( 0.3x \), we get 50.
- This gives us the equation:
\[ 0.3x - 40 = 50 \]

3. **Isolate the term with \( x \)**:
- To isolate \( 0.3x \), we add 40 to both sides of the equation:
\[ 0.3x = 50 + 40 \]
- Simplifying the right side gives:
\[ 0.3x = 90 \]

4. **Solve for \( x \)**:
- Now, we need to solve for \( x \) by dividing both sides by 0.3:
\[ x = \frac{90}{0.3} \]
- Performing the division:
\[ x = 300 \]

5. **Conclusion**: The value of the number is \( 300 \).

### Summary:
The number \( x \) is \( 300 \).