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gsm8k-0014

1.000
1/1 tests· math
Challenge · difficulty 2/5
# 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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Proposed solution
Let's break down the problem step by step:

1. We start with 20 students in the dance class.
2. 20% of 20 students enrolled in contemporary dance, which is 0.20 * 20 = 4 students.
3. This leaves us with 20 - 4 = 16 students.
4. 25% of the remaining 16 students enrolled in jazz dance, which is 0.25 * 16 = 4 students.
5. The rest, which is 16 - 4 = 12 students, enrolled in hip-hop dance.

Now, we need to find out what percentage 12 students represent out of the entire 20 students:

(12 students / 20 total students) * 100% = 60%

So, 60% of the entire students enrolled in hip-hop dance.

\boxed{60\%}

The final answer is: 60%.