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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Here is the step-by-step solution:

1.  **Find the number of students enrolled in contemporary dance:**
    The problem states that 20% of the 20 students enrolled in contemporary dance.
    $$0.20 \times 20 = 4 \text{ students}$$

2.  **Find the number of remaining students:**
    Subtract the contemporary dance students from the total number of students.
    $$20 - 4 = 16 \text{ students}$$

3.  **Find the number of students enrolled in jazz dance:**
    The problem states that 25% of the *remaining* students enrolled in jazz dance.
    $$0.25 \times 16 = 4 \text{ students}$$

4.  **Find the number of students enrolled in hip-hop dance:**
    The rest of the students enrolled in hip-hop dance. We subtract the jazz dance students from the remaining students calculated in step 2.
    $$16 - 4 = 12 \text{ students}$$

5.  **Calculate the percentage of the entire class enrolled in hip-hop dance:**
    Divide the number of hip-hop students by the total number of students and multiply by 100.
    $$\frac{12}{20} \times 100\% = 0.6 \times 100\% = 60\%$$

\boxed{60\%}