Calculate Dance Class Attendance: Solve 16% of 9th Graders Problem

Question

Six 9th grade students attend acting classes. They make up 24 percent of the class as a whole.

A further 16% of the 9th grade students attend dance class.

The rest of the students do not participate in any extracurricular classes.

How many students attend the dance class?

Video Solution

Solution Steps

00:00 How many students are in the dance class?
00:06 Determine the total number of students
00:32 Convert from percentages to fractions
00:37 Multiply the fraction by the original number of students (X)
00:44 This percentage equals the number of students in the games class (6)
00:49 Multiply by the reciprocal fraction to isolate X
01:13 Simplify wherever possible
01:22 This is the total number of students
01:29 Determine the number of students in the dance class (16%)
01:46 Convert from percentages to fractions, and multiply by the total number of students
01:56 Simplify wherever possible
02:03 This is the solution

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Determine the total number of students in the class.
  • Step 2: Calculate how many students attend the dance class.

Now, let's work through each step:
Step 1: We know that 6 students are 24% of the class. We use the formula for determining the whole number from a percentage:

Total number of students=Number of students attending actingPercentage×100=60.24=25 \text{Total number of students} = \frac{\text{Number of students attending acting}}{\text{Percentage}} \times 100 = \frac{6}{0.24} = 25

So, the total number of 9th grade students is 25.

Step 2: Now that we have the total number of students, we can find how many attend the dance class (16% of 25):

Number of students in dance classes=0.16×25=4 \text{Number of students in dance classes} = 0.16 \times 25 = 4

Thus, the number of students attending the dance class is 4 students.

Answer

4 students