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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We are given:

- Total number of students = 20  
- 20% enrolled in **contemporary dance**  
- Then, 25% of the **remaining** students enrolled in **jazz dance**  
- The rest enrolled in **hip-hop dance**

We need to find the **percentage of the entire class** that enrolled in **hip-hop dance**.

---

### Step 1: Find number of students in contemporary dance

20% of 20 =  
$$
0.20 \times 20 = 4 \text{ students}
$$

So, 4 students are in contemporary dance.

Remaining students =  
$$
20 - 4 = 16 \text{ students}
$$

---

### Step 2: Find number of students in jazz dance

25% of the remaining (16) students =  
$$
0.25 \times 16 = 4 \text{ students}
$$

So, 4 students are in jazz dance.

Remaining students after contemporary and jazz =  
$$
16 - 4 = 12 \text{ students}
$$

These 12 are in hip-hop.

---

### Step 3: Find percentage of entire class in hip-hop

$$
\frac{12}{20} \times 100\% = 60\%
$$

---

### Final Answer:

\boxed{60\%}