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Question
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?
Solution
Total number of female students = 300 - 142
\[ = 158\]
Total number of female teachers = 30 - 12
\[ = 18\]
Total number of females = 158 + 18
\[ = 176\]
Total population of the school = 300 + 30
\[ = 330\]
Percentage of females \[= \frac{176}{330} \times 100\]
\[ = \frac{160}{3} \%\text{ or }53 . 33\%\]
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