15 students per class. If 112 students sign up for dance class, how many classes does the school need to offer to accommodate all the students?

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To determine how many classes are needed to accommodate 112 students with 15 students per class, we can follow these steps:

1. **Identify the total number of students**: $$ S = 112 $$
2. **Identify the number of students per class**: $$ C = 15 $$
3. **Calculate the number of classes needed**: This can be done by dividing the total number of students by the number of students per class and rounding up to the nearest whole number since we can't have a fraction of a class.

The formula to calculate the number of classes $$ N $$ is:

$$
N = \lceil \frac{S}{C} \rceil
$$

Now, let's perform the calculation:

$$
N = \lceil \frac{112}{15} \rceil
$$

Calculating $$ \frac{112}{15} $$:

$$
\frac{112}{15} \approx 7.4667
$$

Since we need to round up, we find:

$$
N = 8
$$

Thus, the school needs to offer **8 classes** to accommodate all 112 students.
The school needs to offer 8 classes to accommodate all 112 students.

15 students per class. If 112 students sign up for dance class, how many classes does the school need to offer to accommodate all the students?

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