Answer :
To find out how many students are not in the drama club, follow these steps:
### Step 1: Calculate the number of students in the drama club
The problem states that 15% of the 500 students are in the drama club. To find out how many students that is, we can use the percentage formula:
[tex]\[ \text{Number of students in drama club} = \frac{\text{Percentage}}{100} \times \text{Total number of students} \][/tex]
Substitute the given values:
[tex]\[ \text{Number of students in drama club} = \frac{15}{100} \times 500 \][/tex]
Perform the multiplication:
[tex]\[ \text{Number of students in drama club} = 0.15 \times 500 = 75 \][/tex]
### Step 2: Calculate the number of students not in the drama club
To find the number of students not in the drama club, subtract the number of students in the drama club from the total number of students:
[tex]\[ \text{Number of students not in drama club} = \text{Total number of students} - \text{Number of students in drama club} \][/tex]
Substitute the values we have:
[tex]\[ \text{Number of students not in drama club} = 500 - 75 \][/tex]
Perform the subtraction:
[tex]\[ \text{Number of students not in drama club} = 425 \][/tex]
### Conclusion
Therefore, the number of students not in the drama club is [tex]\(425\)[/tex].
### Step 1: Calculate the number of students in the drama club
The problem states that 15% of the 500 students are in the drama club. To find out how many students that is, we can use the percentage formula:
[tex]\[ \text{Number of students in drama club} = \frac{\text{Percentage}}{100} \times \text{Total number of students} \][/tex]
Substitute the given values:
[tex]\[ \text{Number of students in drama club} = \frac{15}{100} \times 500 \][/tex]
Perform the multiplication:
[tex]\[ \text{Number of students in drama club} = 0.15 \times 500 = 75 \][/tex]
### Step 2: Calculate the number of students not in the drama club
To find the number of students not in the drama club, subtract the number of students in the drama club from the total number of students:
[tex]\[ \text{Number of students not in drama club} = \text{Total number of students} - \text{Number of students in drama club} \][/tex]
Substitute the values we have:
[tex]\[ \text{Number of students not in drama club} = 500 - 75 \][/tex]
Perform the subtraction:
[tex]\[ \text{Number of students not in drama club} = 425 \][/tex]
### Conclusion
Therefore, the number of students not in the drama club is [tex]\(425\)[/tex].
