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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First, determine the percentage of students enrolled in contemporary dance: 20%.
This leaves 100% - 20% = 80% of the students remaining.

Next, calculate the percentage enrolled in jazz dance, which is 25% of the remaining 80%:
0.25 × 80% = 20%.

Now, add the percentages for contemporary and jazz dance:
20% + 20% = 40%.

The rest of the students enrolled in hip-hop dance, so subtract this sum from the total 100%:
100% - 40% = 60%.

(Verification using the class size of 20: 20% of 20 = 4 students in contemporary. Remaining = 16. 25% of 16 = 4 students in jazz. Remaining for hip-hop = 12. 12 out of 20 is 12/20 = 0.6 = 60%.)

\boxed{60\%}