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51% of a whole number is 714.25% of that...

51% of a whole number is 714.25% of that number is

A

350

B

450

C

550

D

250

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step-by-step, we will first determine the whole number based on the information given and then calculate 25% of that number. ### Step 1: Define the Whole Number Let the whole number be represented as \( x \). ### Step 2: Set Up the Equation According to the problem, 51% of the whole number \( x \) is equal to 714. Therefore, we can write the equation: \[ 0.51x = 714 \] ### Step 3: Solve for \( x \) To find \( x \), we will rearrange the equation: \[ x = \frac{714}{0.51} \] ### Step 4: Calculate \( x \) Now, we will perform the division: \[ x = \frac{714}{0.51} = 1400 \] ### Step 5: Calculate 25% of \( x \) Now that we have found \( x \), we need to calculate 25% of this number: \[ 25\% \text{ of } x = 0.25 \times 1400 \] ### Step 6: Perform the Calculation Calculating 25% of 1400: \[ 0.25 \times 1400 = 350 \] ### Final Answer Thus, 25% of the whole number is: \[ \boxed{350} \]
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