If x% of 35 is 42, then x=_____.

Options

A. 120
B. 60
C. 100
D. 50

Answer

To solve the problem "If x% of 35 is 42, then x = ____", we can follow these steps:

### Step 1: Set up the equation
We know that x% of 35 equals 42. We can express this mathematically as:
\[ \frac{x}{100} \times 35 = 42 \]

### Step 2: Simplify the equation
To eliminate the fraction, we can multiply both sides of the equation by 100:
\[ x \times 35 = 42 \times 100 \]
This simplifies to:
\[ 35x = 4200 \]

### Step 3: Solve for x
Now, we need to isolate x. We can do this by dividing both sides of the equation by 35:
\[ x = \frac{4200}{35} \]

### Step 4: Calculate the division
Now, we perform the division:
\[ x = 120 \]

### Final Answer
Thus, the value of x is:
\[ \boxed{120} \]

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