There are 62.9 students and 11.1 teachers.
Weird, I know. But my math is bullet-proof.
[Sum\ of\ students\ and\ faculty:\17x+3x=74\\ 20x=74\ \ |:20\ \x=3,7\\ Faculty: \ \ 3x=3 3,7=\textbf{11,1}\ Students:\ \ 17x=17 3,7=\textbf{62,9}
]
The college has 11 faculty members and 63 students. This is based on the student-to-faculty ratio of 17:3, which allows us to solve using the total number of individuals, 74. By calculating, we find the rounded numbers of faculty and students respectively.
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[tex]20\% \times 150 \\ = \frac{20}{100} \times 150 \\ \\ = \frac{3.000}{100} = 30[/tex]