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A certain school has 300 students, 142 of whom are boys. It has 30 teachers, 12 of whom are men. What percent of the total number of students and teachers in the school is female?

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53.33%

12%

22%

44%

answer is A.

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Detailed Solution

Given, a certain school has 300 students, 142 of whom are boys. It has 30 teachers, 12 of whom are men.
So, the number of girls = 300 - 142.

\Rightarrow

Number of girls = 158
Number of female teachers = 30 - 12

\Rightarrow

Number of female teachers = 18

Percentage of female = \frac{Total number of females}{Total number of teachers and students} \times 100

\Rightarrow

Percentage of female =

\frac{158 + 18}{300 + 30} \times 100

\Rightarrow

Percentage of female =

\frac{176}{330} \times 100

\Rightarrow

Percentage of female = 53.33%
The percentage of females including students and teachers is 53.33%.
Hence, option 1 is correct.

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