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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1.  **Calculate the number of students enrolled in contemporary dance:**
    The total number of students is 20.
    20% of the students enrolled in contemporary dance.
    $$20 \times 0.20 = 4 \text{ students}$$

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

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

4.  **Calculate the number of students enrolled in hip-hop dance:**
    The rest of the students enrolled in hip-hop dance.
    $$16 \text{ (remaining)} - 4 \text{ (jazz)} = 12 \text{ students}$$
    Alternatively: $20 \text{ (total)} - 4 \text{ (contemporary)} - 4 \text{ (jazz)} = 12 \text{ students}$.

5.  **Calculate the percentage of the entire students enrolled in hip-hop dance:**
    We need to find what percentage 12 is of the total 20.
    $$\frac{12}{20} \times 100\% = 0.6 \times 100\% = 60\%$$

\boxed{60\%}