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The problem states that one-sixth of a number is 10, and asks for three-fifths of that number. Let's break it down step by step:

### Step 1: Let the unknown number be \( x \).
According to the problem:
\[
\frac{1}{6} \times x = 10
\]

### Step 2: Solve for \( x \).
Multiply both sides of the equation by 6 to isolate \( x \):
\[
x = 10 \times 6 = 60
\]

### Step 3: Find three-fifths of \( x \).
Now that we know \( x = 60 \), we can find three-fifths of this number:
\[
\frac{3}{5} \times 60 = \frac{180}{5} = 36
\]

### Final Answer:
Three-fifths of the number is **36**.

Would you like more details or have any other questions?

Here are some related questions you might find interesting:
1. What is two-thirds of the number?
2. If one-eighth of the number is 7, what is the number?
3. What fraction of the number is 15?
4. How would you find one-fourth of a number given one-sixth of it?
5. If three-fifths of a number is 45, what is the full number?

**Tip**: When working with fractions of a number, it's often helpful to multiply or divide to isolate the unknown value first!

One sixth of a number is 10. What is three fifths of the number?

This problem demonstrates how to find three-fifths of a number when one-sixth of the number equals 10. Suitable for Grades 5-7, this solution covers key concepts of algebra and fractions.

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