If `(2)/(5)` of 50% of x = 10, find x.

Options

A. 100
B. 50
C. 25
D. 80

Explanation

To solve the equation \(\frac{2}{5}\) of 50% of \(x = 10\), we can follow these steps:

### Step 1: Convert 50% to a Fraction
50% can be expressed as a fraction:
\[ 50\% = \frac{50}{100} = \frac{1}{2} \]

### Step 2: Set Up the Equation
Now we can rewrite the equation:
\[ \frac{2}{5} \times \frac{1}{2} \times x = 10 \]

### Step 3: Simplify the Left Side
Multiply the fractions:
\[ \frac{2}{5} \times \frac{1}{2} = \frac{2 \times 1}{5 \times 2} = \frac{2}{10} = \frac{1}{5} \]
So, the equation becomes:
\[ \frac{1}{5} x = 10 \]

### Step 4: Solve for \(x\)
To isolate \(x\), multiply both sides of the equation by 5:
\[ x = 10 \times 5 \]
\[ x = 50 \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{50} \]