Question

In a dance class, 70% of the students wear black

bailet shoes. There are 30 students that wear black
shoes. How many students are in the class?

Answer 1

To find the total number of students in the dance class, a proportion is used to determine that 30 students, which make up 70% of the class, imply there are 43 students in total.

Step-by-step explanation:

The question revolves around finding the total number of students in the dance class given that 30 students wear black ballet shoes which represent 70% of the class.

To find the total number of students, we can set up a proportion where 70% is to 30 students as 100% is to the total number of students in the class, which we can call 'T'.

Starting with the proportion, we have:

1. 70% of T = 30 students
2. 0.70 × T = 30
3. T = 30 / 0.70
4. T = 42.85

Since the number of students cannot be a fraction, we round to the nearest whole number. Therefore, there are 43 students in the dance class.