Answer :
To determine the percentage of girls in the class, follow these steps:
1. Calculate the total number of students in the class:
- There are 10 boys and 14 girls.
- Total number of students = Number of boys + Number of girls
[tex]\[ \text{Total students} = 10 + 14 = 24 \][/tex]
2. Calculate the percentage of girls:
- The percentage of girls can be found by dividing the number of girls by the total number of students and then multiplying by 100 to convert it to a percentage.
[tex]\[ \text{Percentage of girls} = \left( \frac{\text{Number of girls}}{\text{Total number of students}} \right) \times 100 = \left( \frac{14}{24} \right) \times 100 \][/tex]
3. Simplify the fraction and compute the percentage:
- First, simplify [tex]\(\frac{14}{24}\)[/tex]:
[tex]\[ \frac{14}{24} = \frac{7}{12} \][/tex]
- Then, convert [tex]\(\frac{7}{12}\)[/tex] to a decimal and multiply by 100:
[tex]\[ \frac{7}{12} \approx 0.5833 \][/tex]
- Multiply 0.5833 by 100 to get the percentage:
[tex]\[ 0.5833 \times 100 = 58.33\% \][/tex]
Therefore, the percentage of girls in the class is approximately [tex]\(58.33\%\)[/tex].
1. Calculate the total number of students in the class:
- There are 10 boys and 14 girls.
- Total number of students = Number of boys + Number of girls
[tex]\[ \text{Total students} = 10 + 14 = 24 \][/tex]
2. Calculate the percentage of girls:
- The percentage of girls can be found by dividing the number of girls by the total number of students and then multiplying by 100 to convert it to a percentage.
[tex]\[ \text{Percentage of girls} = \left( \frac{\text{Number of girls}}{\text{Total number of students}} \right) \times 100 = \left( \frac{14}{24} \right) \times 100 \][/tex]
3. Simplify the fraction and compute the percentage:
- First, simplify [tex]\(\frac{14}{24}\)[/tex]:
[tex]\[ \frac{14}{24} = \frac{7}{12} \][/tex]
- Then, convert [tex]\(\frac{7}{12}\)[/tex] to a decimal and multiply by 100:
[tex]\[ \frac{7}{12} \approx 0.5833 \][/tex]
- Multiply 0.5833 by 100 to get the percentage:
[tex]\[ 0.5833 \times 100 = 58.33\% \][/tex]
Therefore, the percentage of girls in the class is approximately [tex]\(58.33\%\)[/tex].
