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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Let me work through this step by step.

First, I'll find how many students enrolled in contemporary dance:
- 20% of 20 students = 0.20 × 20 = 4 students

Next, I'll find how many students remain after contemporary dance:
- Remaining students = 20 - 4 = 16 students

Then, I'll find how many students enrolled in jazz dance:
- 25% of the remaining 16 students = 0.25 × 16 = 4 students

Now I'll find how many students enrolled in hip-hop dance:
- Hip-hop students = Total students - Contemporary students - Jazz students
- Hip-hop students = 20 - 4 - 4 = 12 students

Finally, I'll calculate what percentage this represents:
- Percentage for hip-hop = (12/20) × 100% = 0.6 × 100% = 60%

Let me verify this makes sense:
- Contemporary: 4 students (20%)
- Jazz: 4 students (25% of remaining 16)
- Hip-hop: 12 students
- Total: 4 + 4 + 12 = 20 ✓

\boxed{60}