If 35% of a number is 12 less than 50% of that number, then the number is:

Options

A. a. 40
B. b. 50
C. c. 60
D. d. 80

Answer

To solve the problem step by step, let's denote the unknown number as \( x \).

### Step 1: Set up the equation
According to the problem, 35% of the number is 12 less than 50% of that number. We can express this mathematically as:
\[ 0.35x = 0.50x - 12 \]

### Step 2: Rearrange the equation
Now, we will rearrange the equation to isolate \( x \). First, we can move \( 0.35x \) to the right side:
\[ 0.50x - 0.35x = 12 \]

### Step 3: Simplify the equation
Now, simplify the left side:
\[ 0.15x = 12 \]

### Step 4: Solve for \( x \)
To find \( x \), we will divide both sides by 0.15:
\[ x = \frac{12}{0.15} \]

### Step 5: Calculate the value of \( x \)
Now, we can perform the division:
\[ x = 12 \div 0.15 = 12 \times \frac{100}{15} = 12 \times \frac{20}{3} = 80 \]

### Conclusion
Thus, the number is:
\[ \boxed{80} \]