gsm8k-0014

# GSM8K Problem 15

In a dance class of 20 students, 20% enrolled in contemporary dance, 25% of the remaining enrolled in jazz dance, and the rest enrolled in hip-hop dance. What percentage of the entire students enrolled in hip-hop dance?

Reason step by step, then give ONLY the final answer on the last line as \boxed{ANSWER}.

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To determine the percentage of students enrolled in hip-hop dance, let's follow these steps:

1. **Total number of students in the class:**
   \[
   20 \text{ students}
   \]

2. **Percentage enrolled in contemporary dance:**
   \[
   20\% \text{ of } 20 = 0.20 \times 20 = 4 \text{ students}
   \]

3. **Remaining students after contemporary dance:**
   \[
   20 - 4 = 16 \text{ students}
   \]

4. **Percentage of the remaining students enrolled in jazz dance:**
   \[
   25\% \text{ of } 16 = 0.25 \times 16 = 4 \text{ students}
   \]

5. **Students enrolled in hip-hop dance:**
   \[
   16 - 4 = 12 \text{ students}
   \]

6. **Percentage of the entire class enrolled in hip-hop dance:**
   \[
   \frac{12}{20} \times 100\% = 60\%
   \]

\[
\boxed{60\%}
\]