[tex] \large \mathcal{ANSWER:} [/tex]
[tex] \boxed{\begin{array}{l} 1.)\: 0.4\:\textsf{in decimal from} \\ \quad \: \dfrac{2}{5}\:\textsf{in fraction form} \\ \\ 2.)\: \textsf{30 respondents} \\ \\ 3.)\: \textsf{No. of Filipino male professionals} = 325 \\ \quad \:\textsf{No. of Filipino female professionals} = 175 \end{array}} [/tex]
[tex] \large \mathcal{SOLUTION:} [/tex]
[tex] \begin{array}{l} \begin{aligned} 1.)\: 40\% &= \boxed{0.4\:\textsf{in decimal}} \\ &= \dfrac{4}{10},\: \textsf{reduce to lowest term} \\ & = \boxed{\dfrac{2}{5}\:\textsf{in fraction form}} \end{aligned}\\ \\ 2.)\: \textsf{Let}\:N\:\textsf{be the number of respondents.} \\ \begin{aligned} \quad \quad \quad 60\%\:\textsf{of}\:N\: &= 18 \\ 0.6N &= 18 \\ \dfrac{\cancel{0.6}N}{\cancel{0.6}} &= \dfrac{18}{0.6} \\ \implies N &= 30 \end{aligned} \\ \\\begin{aligned} 3.)\:\textsf{No. of male professionals} &= 65\%\:\textsf{of}\: 500 \\ &=0.65(500) \\ &= \boxed{325} \\ \\ \textsf{No. of female professionals} &= 35\%\:\textsf{of}\: 500 \\ &=0.35(500) \\ &= \boxed{175} \end{aligned} \\ \quad \textsf{Or you can just subtract 325 from 500}, \\ \quad \quad \quad \quad \quad \quad \: \: \: 500-325 = 175. \end{array} [/tex]
[tex] \texttt \color{cyan} {\#CarryOnLearning} [/tex]
