38% of a number is 133. What is the number?
(a)340
(b)350
(c)360
(d)355

Options

A. 340
B. 350
C. 360
D. 355

Answer

To solve the problem "38% of a number is 133. What is the number?", we can follow these steps:

### Step 1: Set up the equation
Let the unknown number be represented as \( x \). According to the problem, we can express the relationship as:
\[ 38\% \text{ of } x = 133 \]
This can be written mathematically as:
\[ \frac{38}{100} \times x = 133 \]

### Step 2: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ 38x = 133 \times 100 \]
Calculating the right side gives:
\[ 38x = 13300 \]

### Step 3: Solve for \( x \)
Now, we need to isolate \( x \) by dividing both sides by 38:
\[ x = \frac{13300}{38} \]

### Step 4: Perform the division
Now, we can simplify \( \frac{13300}{38} \):
First, we can simplify by dividing both the numerator and denominator by 19 (since 38 is 19 multiplied by 2):
\[ x = \frac{13300 \div 19}{38 \div 19} = \frac{700}{2} \]
Now, perform the division:
\[ x = 350 \]

### Conclusion
Thus, the number is:
\[ \boxed{350} \]