Question

 If one third of one-fourth of a number is 15, then three-tenth of that number is

• A. 46
• B. 38
• C. 54
• D. 61

Answer 1

The Correct Option is C

To solve the problem, we need to find the original number based on the given conditions and then calculate three-tenth of that number. Let's break this down step-by-step. 

Step 1: Understanding the problem statement

We are given that one third of one-fourth of a number is 15. Let the number be \(x\).

Step 2: Set up the equation

The problem states:

One third of one-fourth of \(x\) is 15.

In equation form, this can be expressed as:

\(\frac{1}{3} \times \frac{1}{4} \times x = 15\)

Step 3: Solve for \(x\)

First, multiply the fractions:

\(\frac{1}{3} \times \frac{1}{4} = \frac{1}{12}\)

So, the equation becomes:

\(\frac{1}{12} \times x = 15\)

To solve for \(x\), multiply both sides by 12:

\(x = 15 \times 12\)

\(x = 180\)

Step 4: Calculate three-tenth of the number

Now that we have the original number as 180, we need to calculate three-tenth of this number:

\(\frac{3}{10} \times 180\)

Multiply:

\(= 54\)

Thus, three-tenth of the number is 54. Therefore, the correct answer is:

54

Conclusion: After following the steps to solve the equation and then finding three-tenth of the number, we confirmed that the correct answer is 54.