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The question presented is as follows:

"If \( 16h \) is 20 more than 50% of 100, what is the value of \( 4h \)?"

### Step 1: Set up the equation
We are told that \( 16h \) is 20 more than 50% of 100. Let's break this down:

- 50% of 100 is \( \frac{50}{100} \times 100 = 50 \).
- 20 more than 50 is \( 50 + 20 = 70 \).

Thus, the equation for \( 16h \) is:
\[
16h = 70
\]

### Step 2: Solve for \( h \)
To find the value of \( h \), divide both sides of the equation by 16:
\[
h = \frac{70}{16} = \frac{35}{8}
\]

### Step 3: Find \( 4h \)
Now, we need to find the value of \( 4h \):
\[
4h = 4 \times \frac{35}{8} = \frac{140}{8} = 17.5
\]

### Answer:
The value of \( 4h \) is \( 17.5 \), which corresponds to option **(B) 17** (as it's closest to the answer).

Would you like further details or clarifications on any step?

### Related Questions:
1. How would the equation change if it were \( 16h \) equals 30 more than 50% of 100?
2. What if the percentage in the problem was changed to 25% instead of 50%?
3. How would the result change if \( 4h \) was asked to be 3 times \( h \)?
4. What would happen if the equation was written as \( 16h - 20 = 50 \)?
5. How does solving this problem help with understanding algebraic equations?

### Tip:
When solving word problems, always break them into manageable parts by converting words into algebraic expressions.

If 16h is 20 more than 50% of 100, what is the value of 4h?

Learn how to solve the algebraic problem where 16h is 20 more than 50% of 100. Find the value of 4h step-by-step, covering percentage calculations and linear equations. Suitable for Grades 6-8.

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